Stephan Luckhaus

Q: What Schools Are Affiliated With Stephan Luckhaus

Stephan Luckhaus is affiliated with the following schools: Leipzig University, University of Bonn, Heidelberg University

Stephan Luckhaus's AcademicInfluence.com Rankings

Stephan Luckhaus

Mathematics

#3455

World Rank

#5096

Historical Rank

Measure Theory

#2994

World Rank

#3555

Historical Rank

mathematics Degrees

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Mathematics

Why Is Stephan Luckhaus Influential?

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According to Wikipedia, Stephan Luckhaus is a German mathematician who is a professor at the University of Leipzig working in pure and applied analysis. His PhD was obtained in 1978 under the supervision of Willi Jäger at the University of Heidelberg. He was elected to the German Academy of Sciences Leopoldina in 2007.

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Stephan Luckhaus'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

Quasilinear elliptic-parabolic differential equations (1983) (1018)
On explosions of solutions to a system of partial differential equations modelling chemotaxis (1992) (781)
Implicit time discretization for the mean curvature flow equation (1995) (239)
The Gibbs-Thompson relation within the gradient theory of phase transitions (1989) (174)
Partial hölder continuity for minima of certain energies among maps into a Riemannian manifold (1988) (153)
Convergence of the homogenization process for a double-porosity model of immiscible two-phase flow (1996) (144)
Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature (1990) (102)
Solutions for the Two-Phase Stefan Problem with the Gibbs—Thomson Law for the Melting Temperature (1990) (101)
Flow of Oil and Water in a Porous Medium (1984) (98)
On nonstationary flow through porous media (1984) (97)
A degenerate diffusion problem not in divergence form (1987) (95)
Crystal chemistry of Fe-containing sphalerites (2003) (75)
Uniform Consistency of a Class of Regression Function Estimators (1984) (69)
Dynamical evolution of elasto-perfectly plastic bodies (1987) (57)
Global boundedness for a delay differential equation (1986) (44)
A stochastic selection principle in case of fattening for curvature flow (2001) (44)
Existence and regularity of weak solutions to the Dirichletproblem for semilinear elliptic systems of higher order. (1979) (43)
Asymptotic profile with the optimal convergence rate for a parabolic equation of chemotaxis in super-critical cases (2007) (42)
Monotonicity Formula and Regularity for General Free Discontinuity Problems (2014) (41)
The Stefan Problem with Surface Tension (1993) (40)
Phase transition in multicomponent systems (1983) (32)
Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems (2006) (31)
Measure Valued Solutions of the 2D Keller–Segel System (2010) (28)
An Energy Estimate for Dislocation Configurations and the Emergence of Cosserat-Type Structures in Metal Plasticity (2016) (28)
An Age-structured Mathematical Model for the Within Host Dynamics of Malaria and the Immune System (2008) (26)
Gradient estimates for solutions of parabolic equations and systems (1990) (25)
Two scales hydrodynamic limit for a model of malignant tumor cells (2007) (18)
On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations (2010) (18)
Convergence of minimizers for thep-Dirichlet integral (1993) (17)
Entropy solutions to the Buckley-Leverett equations (2000) (17)
Modelling Surface Runoff and Infiltration of Rain by an Elliptic-Parabolic Equation Coupled with a First‐Order Equation on the Boundary (1999) (16)
Nonlinear Elastic Free Energies and Gradient Young-Gibbs Measures (2012) (15)
Geometric Rigidity Estimates for Incompatible Fields in Dimension $\ge$ 3 (2017) (15)
Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients (2010) (14)
Surface energies emerging in a microscopic, two-dimensional two-well problem (2015) (14)
Asymptotic Expansion for a Periodic Boundary Condition (1995) (13)
Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model (2006) (13)
The continuum reaction-diffusion limit of a stochastic cellular growth model (2004) (12)
The dynamics of transition layers in solids with discontinuous chemical potentials (2006) (10)
Surface Energies Arising in Microscopic Modeling of Martensitic Transformations (2014) (9)
A nonlinear boundary value problem involving a nonlocal term (1994) (9)
Approximation of degenerate parabolic systems by nondegenerate elliptic and parabolic systems (1998) (8)
Homogenization of a boundary condition for the heat equation (2000) (8)
Diffusion induced segregation in the case of the ternary system sphalerite, chalcopyrite and cubanite (2004) (8)
Modeling and Numerical Simulation of Diffusion Induced Segregation (2002) (7)
Uniform rectifiability from mean curvature bounds (2005) (7)
Mathematical Modelling of Flow Through Porous Media: Proceedings of the Conference (1996) (7)
Measure Valued Solutions of the 2D Keller–Segel System (2012) (7)
Study of a model for reference-free plasticity (2013) (5)
Mesoscopic limit for non-isothermal phase transition (2000) (4)
Stability estimates for the conformal group of S^(n-1} in dimension n >= 3 (2019) (3)
A Compactness and Structure Result for a Discrete Multi-well Problem with SO(n) Symmetry in Arbitrary Dimension (2017) (3)
A Stefan problem in combustion (1987) (3)
Monotonicity Formula and Regularity for General Free Discontinuity Problems (2013) (2)
Discrete Free Energy Functionals for Elastic Materials with Phase Change (2006) (2)
Mathematical Epidemiology, SIR Models and COVID-19 (2020) (2)
Automated detection of the choroid boundary within OCT image data using quadratic measure filters (2017) (2)
On an evolutionary nonlinear fluid model in the limiting case (2001) (2)
A regularity result for the solution of the dam problem (1996) (2)
Langevin dynamics with a tilted periodic potential: a model for randomly sized avalanches (2012) (2)
Corona, Mathematical Epidemiology, Herd Immunity, and Data (2020) (1)
A General Theory for Elastic Phase Transitions in Crystals (2006) (1)
Weak Solution Classes for Parabolic Integro-Differential Equations (1982) (1)
Multinomial approximations for nonparametric experiments which minimize the maximal loss of Fisher information (1989) (1)
Langevin Dynamics with a Tilted Periodic Potential (2012) (1)
Rigidity estimates for isometric and conformal maps from to (2022) (0)
Surface Energies Arising in Microscopic Modeling of Martensitic Transformations in Shape-Memory Alloys (2015) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 58 / 2007 Material Theories (2007) (0)
Nonlinear Elastic Free Energies and Gradient Young-Gibbs Measures (2014) (0)
Pressure jumps in the dam problems (1990) (0)
Asymptotic profile for solutions of Keller-Segel model(Viscosity Solution Theory of Differential Equations and its Developments) (2007) (0)
Gradient Random Fields – Banff workshop 2011 (2012) (0)
Twinned martensite configurations arising as ground states of a two‐well discrete Hamiltonian (2012) (0)
Mathematik in den Naturwissenschaften Leipzig Two scale hydrodynamic limit for a model of malignant tumor cells (2005) (0)
Mini-Workshop: Scales in Plasticity (2015) (0)
Material Theories (2018) (0)
Coupling the equation for filtration flow to a first-order conservation law on the boundary (1999) (0)
Rigidity estimates for isometric and conformal maps from $${\mathbb {S}}^{n-1}$$ S n - (2021) (0)
Langevin Dynamics with a Tilted Periodic Potential (2013) (0)
A Compactness and Structure Result for a Discrete Multi-well Problem with SO(n) Symmetry in Arbitrary Dimension (2018) (0)
Stability estimates for the conformal group of $\mathbb{S}^{n-1}$ in dimension $n\geq 3$ (2019) (0)
A variational problem arising from Mullins-Sekerka problem (2001) (0)
A free boundary problem-in time-for the spread of Covid-19 (2023) (0)
Extension of a regularity result concerning the dam problem (1991) (0)

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Other Resources About Stephan Luckhaus

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What Schools Are Affiliated With Stephan Luckhaus?

Stephan Luckhaus is affiliated with the following schools:

Stephan Luckhaus's Academic­Influence.com Rankings