Jan Sokołowski

Q: What Schools Are Affiliated With Jan Sokołowski

Jan Sokołowski is affiliated with the following schools: University of Lorraine

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Jan Sokołowski

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Measure Theory

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Mathematics

Jan Sokołowski's Degrees

PhD Mathematics University of Warsaw
Masters Mathematics University of Warsaw
Bachelors Mathematics University of Warsaw

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Jan Sokołowski's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to shape optimization (1992) (1233)
Introduction to shape optimization : shape sensitivity analysis (1992) (1192)
On the Topological Derivative in Shape Optimization (1999) (962)
Topological Derivatives in Shape Optimization (2012) (293)
Asymptotic analysis of shape functionals (2003) (179)
Modelling and control in solid mechanics (1997) (128)
Springer series in Computational Mathematics (1992) (118)
Optimality Conditions for Simultaneous Topology and Shape Optimization (2003) (105)
Topological derivatives for elliptic problems (1999) (85)
Compressible Navier-Stokes Equations: Theory and Shape Optimization (2012) (77)
Energy change due to the appearance of cavities in elastic solids (2003) (76)
Modelling of topological derivatives for contact problems (2005) (75)
Compressible Navier-Stokes equations (2012) (72)
A Level Set Method in Shape and Topology Optimization for Variational Inequalities (2007) (64)
The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains (1999) (59)
On derivative of energy functional for elastic bodies with cracks and unilateral conditions (2002) (56)
Sensitivity analysis of control constrained optimal control problems for distributed parameter systems (1987) (55)
On Compactness, Domain Dependence and Existence of Steady State Solutions to Compressible Isothermal Navier–Stokes Equations (2005) (53)
Griffith formulae for elasticity systems with unilateral conditions in domains with cracks (2000) (51)
Self–adjoint Extensions for the Neumann Laplacian and Applications (2006) (47)
On Numerical Solution of Shape Inverse Problems (2002) (47)
Concentrations of Solutions to Time-Discretizied Compressible Navier-Stokes Equations (2005) (47)
Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions (2009) (45)
Stationary solutions of Navier-Stokes equations for diatomic gases (2007) (44)
Topological Derivatives for Semilinear Elliptic Equations (2009) (43)
On the analysis of boundary value problems in nonsmooth domains (2009) (42)
Inhomogeneous Boundary Value Problems for Compressible Navier-Stokes Equations: Well-Posedness and Sensitivity Analysis (2008) (39)
Shape sensitivity analysis of unilateral problems (1987) (39)
Boundary value problems for transport equations (2012) (38)
Level set method with topological derivatives in shape optimization (2008) (37)
Shape sensitivity analysis of boundary optimal control problems for parabolic systems (1988) (36)
Domain Dependence of Solutions to Compressible Navier--Stokes Equations (2006) (34)
Conical differentiability for evolution variational inequalities (2003) (33)
Differential stability of solutions to constrained optimization problems (1985) (33)
Applications of the Topological Derivative Method (2018) (33)
The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament (2004) (33)
Design sensitivity analysis of elastic-plastic analysis problems (1988) (32)
Inhomogeneous boundary value problems for compressible Navier–Stokes and transport equations☆ (2009) (32)
Polarization matrices in anisotropic heterogeneous elasticity (2010) (30)
Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids (2009) (30)
Spectral problems in the shape optimisation. Singular boundary perturbations (2008) (30)
Control of crack propagation by shape-topological optimization (2014) (30)
Topological derivative for optimal control problems (1999) (30)
Optimization of the domain in elliptic variational inequalities (1988) (29)
Sensitivity analysis of contact problems with prescribed friction (1988) (28)
Topological derivatives for optimization of plane elasticity contact problems (2008) (26)
Topology design of thermomechanical actuators (2017) (26)
Shape Derivative of Drag Functional (2010) (26)
Self adjoint extensions of differential operators in application to shape optimization (2003) (25)
Nondifferentiable Optimization Problems for Elliptic Systems (1985) (24)
Topological Derivative for Nucleation of Non-Circular Voids (1999) (24)
SENSITIVITY ANALYSIS AND OPTIMIZATION OF ELASTIC-PLASTIC STRUCTURES (1987) (23)
Optimal Shape Design of Inductor Coils for Surface Hardening (2003) (23)
Shape sensitivity analysis of contact problem with prescribed friction (1988) (23)
Approximation of boundary control problems on curved domains (2009) (23)
On Topological Derivatives for Elastic Solids with Uncertain Input Data (2009) (22)
Optimal control in coefficients for weak variational problems in Hilbert space (1981) (22)
Topological optimization and inverse problems (2003) (22)
Sensitivity analysis of optimal control problems for wave equations (1991) (22)
Topological derivative for steady-state orthotropic heat diffusion problem (2009) (22)
Shape Sensitivity Analysis Of Problems With Singularities (2001) (22)
Optimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions (2016) (21)
Shape and topological sensitivity analysis in domains with cracks (2010) (20)
Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications (2018) (20)
Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary (2009) (20)
Smooth domain method for crack problems (2004) (20)
A micromechanical approach to volumetric and surface growth in the framework of shape optimization (2014) (20)
Sensitivity of solutions to convex, control constrained optimal control problems for distributed parameter systems (1986) (20)
Shape optimization for contact problems (1984) (20)
Tangent sets in some functional spaces (2000) (19)
Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications (2018) (19)
Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains (2018) (18)
Shape sensitivity analysis of eigenvalues revisited (2008) (17)
Neumann Laplacian on a domain with tangential components in the boundary (2008) (17)
Sensitivity analysis of hyperbolic optimal control problems (2012) (17)
Mixed Finite Element Methods for Smooth Domain Formulation of Crack Problems (2005) (16)
Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity (2010) (16)
A Shape Optimization Problem for the Heat Equation (1997) (16)
Sensitivity Analysis for a Class of Variational Inequalities (1981) (16)
Optimal Control of Laser Hardening (1997) (14)
Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature (1998) (14)
An Introduction to the Topological Derivative Method (2020) (14)
Stationary boundary value problems for Navier-Stokes equations with adiabatic index γ < 3/2 (2004) (14)
Stationary Boundary Value Problems for Compressible Navier-Stokes equations ? (2008) (13)
Differential stability of solutions to parametric optimization problems (1991) (13)
Shape Sensitivity Analysis of Variational Inequalities (1992) (13)
Asymptotic analysis of variational inequalities with applications to optimum design in elasticity (2017) (12)
Mathematical modeling of volumetric material growth (2014) (11)
On dual dynamic programming in shape control (2012) (11)
Topological sensitivity analysis for elliptic problems on graphs (2008) (11)
A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains (2013) (11)
Sensitivity analysis and optimal design of elastic plates with unilateral point supports (1987) (11)
Asymptotics of the energy functional of the Signorini problem under a small singular perturbation of the domain (2003) (10)
Polyhedricity of convex sets in sobolev space (1993) (10)
Tangent Sets In Banach Spaces And Applications To Variational Inequalities (2000) (10)
On Shape Optimization for an Evolution Coupled System (2011) (10)
Selfadjoint Extensions for the Elasticity System in Shape Optimization (2004) (10)
Justification of a certain algorithm for shape optimization in 3D elasticity (2018) (10)
Shape sensitivity analysis of state constrained optimal control problems for distributed parameter systems (1989) (10)
Differential stability of control constrained optimal control problems for distributed parameter systems (1985) (9)
Shape sensitivity analysis of a quasi‐electrostatic piezoelectric system in multilayered media (2010) (9)
Control problems with state constraints for shape memory alloys (1994) (9)
Sensitivity analysis of unilateral problems in and applications (1993) (9)
The topological derivative method in shape optimization (1999) (9)
Topological Derivative in Shape Optimization (2009) (8)
Optimal Shells Formed on a Sphere. The Topological Derivative Method (1998) (8)
Mathematical Modeling of Volumetric Material Growth in Thermoelasticity (2014) (8)
Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain (2007) (7)
Regularity and Strong Convergence of a Variational Approximation to a Nonhomogeneous Dirichlet Hyperbolic Boundary Value Problem (1988) (7)
The structure theorem for the Eulerian derivative of shape functionals defined in domains with cracks (2000) (7)
The Topological Derivative Method and Artificial Neural Networks for Numerical Solution of Shape Inverse Problems (1999) (7)
Sensitivity analysis of the Signorini variational inequality (1987) (7)
Shape sensitivity analysis for variational inequalities (1982) (7)
Singular perturbations of curved boundaries in dimension three. The spectrum of the Neumann Laplacian (2010) (7)
Hadamard Formula in Nonsmooth Domains and Applications (2001) (7)
Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids (2011) (7)
Sensitivity analysis of control constrained optimal control problems for wave equation (1989) (7)
Topological derivatives for networks of elastic strings (2011) (6)
Biomimetic Approach to Compliance Optimization and Multiple Load Cases (2019) (6)
On asymptotic analysis of spectral problems in elasticity (2011) (6)
Topological sensitivity analysis of a multi‐scale constitutive model considering a cracked microstructure (2010) (6)
On stability analysis in shape optimisation : critical shapes for Neumann problem 1 (2003) (6)
Shape Optimization for Navier-Stokes Equations (2007) (6)
Sensitivity analysis of elastic-plastic torsion problem (1986) (6)
Differential stability of solutions to boundary optimal control problems for parabolic systems (1986) (5)
Topological derivatives in piezoelectricity (2008) (5)
Convergence results for a nonlinear parabolic control problem (1999) (5)
Crack Growth Control Based on the Topological Derivative of the Rice’s Integral (2018) (5)
Non-Linear Balayage and applications (2000) (5)
On Solvability of Boundary Value Problems in Elastoplasticity (1998) (5)
Quasistationary problem for a cracked body with electrothermoconductivity (2001) (5)
Shape-Topological Differentiability of Energy Functionals for Unilateral Problems in Domains with Cracks and Applications (2014) (5)
Shape sensitivity analysis of nonsmooth variational problems (1988) (5)
Self-adjoint extensions of differential operators and exterior topological derivatives in shape optimization (2005) (5)
Modeling of Topology Variations in Elasticity (2003) (5)
The derivative of the energy functional along the crack length in problems of the theory of elasticity (2000) (5)
Shape Sensitivity Analysis of Optimal Compliance Functionals (1995) (4)
Topological Derivatives for Contact Problems (2006) (4)
Displacement Derivatives in Shape Optimization of Thin Shells (1996) (4)
Dynamical shape control and the stabilization of non‐linear thin rods (1991) (4)
Inhomogeneous boundary value problem for nonstationary compressible Navier–Stokes equations (2010) (4)
Shape Sensitivity Analysis of the Dirichlet Laplacian in a Half-Space (2004) (4)
Optimal shape control of airfoil in compressible gas flow governed by Navier-Stokes equations (2013) (4)
Semidiscrete approximations of hyperbolic boundary value problems with nonhomogenous dirichlet boundary conditions (1989) (4)
On Topological Derivatives for Contact Problems in Elasticity (2015) (4)
Griffith Formula and Rice-Cherepanov’s Integral for Elliptic Equations with Unilateral Conditions in Nonsmooth Domains (1999) (4)
Numerical experiments in drag minimization for compressible Navier-Stokes flows in bounded domains (2009) (4)
A numerical method for shape and topology optimization for semilinear elliptic equation (2010) (4)
Sensitivity analysis of optimal control problems for parabolic systems (1987) (3)
Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids (2011) (3)
Sensitivity analysis of an optimal control problem arising from air quality control in urban area (1986) (3)
Singular perturbations in shape optimization for the Dirichlet Laplacian (2005) (3)
Stability of solutions to unilateral problems (2020) (3)
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems with boundary conditions involving time delays (2013) (3)
Sensitivity of the Second Order Homogenized Elasticity Tensor to Topological Microstructural Changes (2021) (3)
Weak solutions to joined nonlinear systems of PDEs (2001) (3)
Asymptotic analysis and polarization matrices (2009) (3)
Pollution Sources Reconstruction Based on the Topological Derivative Method (2020) (3)
Boundary Control of the Motion of a Heavy Piston in Viscous Gas (2019) (3)
Passive Control of Singularities by Topological Optimization: The Second-Order Mixed Shape Derivatives of Energy Functionals for Variational Inequalities (2016) (2)
New aspects of the trabecular bone remodeling regulatory model resulting from the shape optimization studies (2020) (2)
Topology Optimization for Unilateral Problems (2005) (2)
On nondifferentiable plate optimal design problems (1984) (2)
Topological Derivative and Training Neural Networks for Inverse Problems (2005) (2)
Domain Optimization Problem for Stationary Heat Equation (1996) (2)
TOPOLOGICAL DERIVATIVES FOR ELLIPTIC PROBLEMS ON GRAPHS (2019) (2)
Sensitivity analysis of infinite order hyperbolic optimal control problems (2010) (2)
Shape and topology optimization of distributed parameter systems (2013) (2)
Shape Sensitivity Analysis of Variational Problems in Domains with Cracks (1999) (2)
Shape sensitivity analysis for stochastic evolution equations (1992) (2)
Analysis of crack singularities in an aging elastic material (2006) (2)
Mathematical challenges in shape optimization (2005) (2)
Shape optimization for non-Newtonian fluids in time-dependent domains (2014) (2)
Nonsmooth optimal design problems for the Kirchhoff plate with unilateral conditions (1993) (2)
Differential stability of solutions to air quality control problems in urban area (1987) (2)
Shape Sensitivity Analysis for Compressible Navier-Stokes Equations (2007) (2)
A model for passive damping of a membrane (2005) (2)
Numerical method for drag minimization in compressible flows (2010) (2)
Stability of Solutions to Shape Estimation Problems (1993) (2)
Control Problems with State Constraints for the Penrose-Fife Phase-field model (1995) (2)
Models for Adaptive Structures Using Shape Memory Actuators (2000) (2)
Topological Derivatives in Plane Elasticity (2007) (2)
Modelling and control of water quality in a river section (1984) (2)
An Elastic Membrane With an Attached Non-Linear Thermoelastic Rod (2002) (1)
Calculating tangent sets to certain sets in functional spaces (1997) (1)
Parametric optimization problems for evolution initial - boundary value problems (1986) (1)
Sensitivity Analysis of Time Delay Hyperbolic Optimal Control Problems (2009) (1)
[Computer analysis of caloric tests]. (1993) (1)
Shape Differentiability of Drag Functional for Compressible Navier-Stokes Equations (2009) (1)
Stationary boundary value problems for Navier-Stokes equations with adiabatic exponent (2004) (1)
On Optimal Parametric Control of Parabolic System (1975) (1)
SPECTRAL PROBLEMS IN ELASTICITY (1)
On topological derivative for contact problem in elasticity (2012) (1)
Steklov–Poincaré Operator for Helmholtz Equation (2015) (1)
Shape optimization for a fluid-elasticity system (2018) (1)
Steklov-Poincaré operator for Helmholtz equation (2015) (1)
Control in coefficients for parabolic equation (1980) (1)
Dynamical shape control of nonlinear thin rods (1991) (1)
Differential stability of projection in Hilbert space onto convex set. Applications to sensitivity analysis of optimal control problems (1986) (1)
Spectral Problems in Elasticity. Singular Boundary Perturbations (2008) (1)
Topological Derivatives for Unilateral Problems (2013) (1)
Special issue on advances in shape and topology optimization: theory, numerics and new applications areas (2011) (1)
sensitivity analysis of Kirchhof plate with obstacle (1987) (1)
Sensitivity Analysis of Optimal Control Parabolic Systems with Retardations (2017) (1)
Sensitivity of optimal controls for time delay parabolic systems (2016) (1)
Shape- and Topology Optimization for Passive Control of Crack Propagation (2015) (1)
Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications (2012) (1)
Topological derivatives of eigenvalues and neural networks in identification of imperfections (2008) (1)
Boundary Control Problems for Shape Memory Alloys under State Constraints (1996) (1)
Modeling, Simulation and Control of Laser Heat Treatments (2001) (1)
Sensitivity analysis of shallow shell with obstacle (1991) (1)
Applications of asymptotic analysis (2006) (1)
Applications of Material Derivative Method (1993) (1)
Topological sensitivity analysis for a coupled nonlinear problem with an obstacle (2017) (0)
Control in coefficients for PDE (1981) (0)
On the robustness of the topological derivative for Helmholtz problems and applications (2022) (0)
A Gradient-Type Method and Applications (2018) (0)
Geometric Aspects of Shape Optimization (2023) (0)
Variational Inequalities in Plasticity (1997) (0)
Volumetric material growth: Mathematical theory (2016) (0)
Optimization and Control, Numerical Algorithms and Integration of Multidisciplinary Complex P.D.E. Systems (2004) (0)
Sensitivity analysis. Shape gradient of the drag functional (2012) (0)
Topological Derivatives of Shape Functionals. Part III: Second-Order Method and Applications (2018) (0)
Pollution Sources Reconstruction Based on the Topological Derivative Method (2020) (0)
The Biomimetic Method for Shape Optimization in 3D Elasticity (2018) (0)
Variational Inequalities in Contact Problems of Elasticity (1997) (0)
Topological Derivatives of Shape Functionals. Part I: Theory in Singularly Perturbed Geometrical Domains (2018) (0)
Control of Stirling engine. Simplified, compressible model (2016) (0)
Growth of solid bodies in the framework of shape and topology optimization (2012) (0)
Shape and Topology Sensitivity Analysis for Elastic Bodies with Rigid Inclusions and Cracks (2010) (0)
On Topological Derivatives for Contact Problems in Elasticity (2014) (0)
Topological Derivative Evaluation with Adjoint States (2013) (0)
Shape Sensitivity Analysis of Nonsmooth Shape Functionals (1995) (0)
Shape differentiability of the Neumann problem of the Laplace equation in the half-space (2008) (0)
A Newton-Type Method and Applications (2018) (0)
Shape Derivatives for Linear Problems (1992) (0)
Flow around an obstacle. Domain dependence (2012) (0)
Topology Design of Elastic Structures for a Contact Model (2014) (0)
Justification of a certain algorithm for shape optimization in 3D elasticity (2017) (0)
Mathematical Modeling of Volumetric Material Growth in Thermoelasticity (2014) (0)
Topological Derivatives for Optimal Control Problems (2018) (0)
Biomimetic Approach to Compliance Optimization and Multiple Load Cases (2019) (0)
Topological Derivative for Three-Dimensional Linear Elasticity Problems (2013) (0)
Optimal Control Problems (1997) (0)
Sensitivity analysis of hyperbolic optimal control problems (2010) (0)
Sensitivity analysis of shape optimization problems (1990) (0)
Finite element approximations of the wave equation with Dirichlet boundary data defined on a bounded domain in R2 (1987) (0)
Topological derivative method for electrical impedance tomography problems (2016) (0)
Domain Derivation in Continuum Mechanics (2013) (0)
Preface to Special Issue (2005) (0)
Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations (2014) (0)
Conical differentiability of metric projection in Sobolev space H/sub 0//sup 2/( Omega ) (1991) (0)
Mathematical modeling of volumetric material growth (2014) (0)
Optimal shape design of plates and shells with obstacles (1996) (0)
Volumetric material growth: Mathematical theory (2016) (0)
Crack Growth Control Based on the Topological Derivative of the Rice’s Integral (2018) (0)
Compound Asymptotic Expansions for Spectral Problems (2013) (0)
Topological derivatives for contact problems in ℝ3 (2011) (0)
Directional differentiability of metric projection in [..] and applications (1991) (0)
Nonconvex Model of Material Growth: Mathematical Theory (2018) (0)
Drag minimization for the obstacle in compressible flow using shape derivatives and finite volumes (2018) (0)
Regular Domain Perturbation (2020) (0)
The Electrical Impedance Tomography Problem (2018) (0)
Asymptotic Analysis of Variational Inequalities (2018) (0)
A Hybrid Objective Function for Robustness of Artificial Neural Networks - Estimation of Parameters in a Mechanical System (2020) (0)
Shape-topological differentiability of energy functionals in domains with cracks (2013) (0)
Topological Sensitivity Analysis for Contact Problems in Elasticity with Given Friction (2016) (0)
Kinetic theory. Fast density oscillations (2012) (0)
Shape sensitivity of eigenvalues in nonsmooth domains (2000) (0)
Singular Perturbations of Energy Functionals (2013) (0)
Shape sensitivity and asymptotic analysis for inclusions (2012) (0)
Singular Domain Perturbation (2020) (0)
Shape derivatives for diffraction by non-smooth periodic interfaces (2011) (0)
Synthesis of Compliant Piezomechanical Actuators (2018) (0)
Nonstationary case. Existence theory (2012) (0)
Optimality Conditions with Topological Derivatives (2018) (0)
Regularization and finite element approximation of the wave equation with Dirichlet boundary data (1990) (0)
Sensivity Analysis of Infinite Order Parabolic Optimal Control Problems (2009) (0)
Configurational Perturbations of Energy Functionals (2013) (0)
Relation Between Eshelbyan Mechanics and Topological Derivative Concept (2020) (0)
Optimality Conditions with Topological Derivatives (2018) (0)
Optimality Conditions with Topological Derivatives (2018) (0)
Shape sensitivity analysis of the Neumann problem of the Laplace equation in the Half-Space (2007) (0)
Theory in Singularly Perturbed Geometrical Domains (2018) (0)
Preliminaries and the material derivative method (1992) (0)
Material and Shape Derivatives for Boundary Value Problems (2013) (0)
Synthesis of Compliant Thermomechanical Actuators (2018) (0)
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems (2012) (0)
Dynamics of a Crankshaft Mechanism under the Pressure of a Viscous Gas (2020) (0)
Shape sensitivity analysis for the work functional (2011) (0)
On shape optimization for compressible isothermal Navier-Stokes equations (2004) (0)
Behavior of stresses near the tip of a crack in an inhomogeneous anisotropic aging body (2001) (0)
Emergence of elastostatic strain-gradient effects from topological optimization (2023) (0)
Existence theory in nonsmooth domains. Shape optimization, continuity of the work functional (2012) (0)
Nonconvex Model of Material Growth: Mathematical Theory (2018) (0)
Topology Design Optimization (2020) (0)
A topological derivative-based method for the reconstruction of multiple pollution sources (2021) (0)
Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications (2018) (0)
Topological derivatives and levelset method in shape optimization (2010) (0)
Domain Truncation Method (2020) (0)
Topology design of thermomechanical actuators (2016) (0)
Topological Asymptotic Analysis for Semilinear Elliptic Boundary Value Problems (2013) (0)
Sensivity Analysis of Infinite Order Parabolic Optimal Control Problems* *The research presented here was carried out within the research programme AGH University of Science and Technology, No. 11.11.120.768. (2009) (0)
Sensitivity analysis of parabolic-hyperbolic optimal control problems (2011) (0)

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What Schools Are Affiliated With Jan Sokołowski?

Jan Sokołowski is affiliated with the following schools:

University of Lorraine

Jan Sokołowski's Academic­Influence.com Rankings