Vladimír Šverák
Czech mathematician
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Mathematics
Vladimír Šverák's Degrees
- PhD Mathematics Charles University
Why Is Vladimír Šverák Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vladimír Šverák is a Czech mathematician. Since 1990, he has been a professor at the University of Minnesota. Šverák made notable contributions to calculus of variations. Šverák obtained his doctorate from the Charles University in Prague in 1986, under supervision of Jindřich Nečas. He worked on problems in the theory of non-linear elasticity. In 1992, he won an EMS Prize for producing a counterexample to a problem first posed by Charles B. Morrey, Jr. in 1950, whether rank-one convexity implies quasiconvexity. In 1994, Šverák was an Invited Speaker of the International Congress of Mathematicians in Zurich.
Vladimír Šverák's Published Works
Published Works
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness (2003) (627)
- On Leray's self-similar solutions of the Navier-Stokes equations (1996) (297)
- Liouville theorems for the Navier–Stokes equations and applications (2007) (286)
- Rank-one convexity does not imply quasiconvexity (1992) (274)
- Convex integration for Lipschitz mappings and counterexamples to regularity (2004) (255)
- Regularity properties of deformations with finite energy (1988) (221)
- Backward Uniqueness for Parabolic Equations (2003) (211)
- Small scale creation for solutions of the incompressible two dimensional Euler equation (2013) (203)
- On mappings with integrable dilatation (1993) (189)
- Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions (2012) (152)
- Non-Lipschitz minimizers of smooth uniformly convex functionals (2002) (126)
- Convex integration with constraints and applications to phase transitions and partial differential equations (1999) (123)
- Navier-Stokes Equations with Lower Bounds on the Pressure (2002) (123)
- On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations (2008) (117)
- Studying Nonlinear pde by Geometry in Matrix Space (2003) (114)
- On divergence-free drifts (2010) (109)
- On the Problem of Two Wells (1993) (103)
- On optimal shape design (1992) (97)
- New examples of quasiconvex functions (1992) (89)
- A singular minimizer of a smooth strongly convex functional in three dimensions (2000) (86)
- The Navier-Stokes equations and backward uniqueness (2002) (82)
- On surfaces of finite total curvature (1995) (81)
- Quasiconvex functions with subquadratic growth (1991) (73)
- Minimal L3-Initial Data for Potential Navier-Stokes Singularities (2009) (64)
- On Tartar’s conjecture (1993) (64)
- BACKWARD UNIQUENESS FOR THE HEAT OPERATOR IN A HALF-SPACE (2004) (62)
- On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains (2007) (60)
- Minimal initial data for potential Navier-Stokes singularities (2009) (56)
- ON THE FINITE-TIME BLOWUP OF A 1D MODEL FOR THE 3D AXISYMMETRIC EULER EQUATIONS (2014) (55)
- On Landau’s solutions of the Navier–Stokes equations (2006) (54)
- Unexpected solutions of first and second order partial differential equations (1998) (47)
- On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations (2017) (47)
- Lower-Semicontinuity of Variational Integrals and Compensated Compactness (1995) (46)
- Singular and regular solutions of a nonlinear parabolic system (2003) (42)
- Local Structure of The Set of Steady-State Solutions to The 2d Incompressible Euler Equations (2010) (40)
- Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations (2015) (39)
- On self‐similar singular solutions of the complex Ginzburg‐Landau equation (2000) (38)
- On L 3,Infinity-solutions to the Navier-Stokes equations and backward uniqueness (2002) (37)
- On the Cauchy Problem for Axi-Symmetric Vortex Rings (2013) (36)
- On Inviscid Limits for the Stochastic Navier–Stokes Equations and Related Models (2013) (35)
- On the spatial decay of 3-D steady-state Navier-Stokes flows (2000) (32)
- Examples of rank-one convex functions (1990) (29)
- Parabolic Systems with Nowhere Smooth Solutions (2005) (27)
- A note on quasiconvexity and rank-one convexity for matrices. (1998) (27)
- On the De Gregorio Modification of the Constantin–Lax–Majda Model (2017) (25)
- Regularity criteria for navier-stokes solutions (2018) (24)
- The two-well problem in three dimensions (2000) (23)
- On a bounded shear flow in a half-space (2011) (20)
- Sharp stability results for almost conformal maps in even dimensions (1999) (20)
- On weak solutions to a viscoelasticity model (1990) (19)
- Zeros of complex caloric functions and singularities of complex viscous Burgers equation (2006) (19)
- On Backward Uniqueness for Parabolic Equations (2004) (18)
- Well-Posedness of Nematic Liquid Crystal Flow in L 3uloc ( R 3 ) (2013) (18)
- Backward Uniqueness for the Heat Equation in Cones (2010) (18)
- On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large $L_3$-initial data (2016) (18)
- On Smoothness of Suitable Weak Solutions to the Navier-Stokes Equations (2005) (17)
- On lower-semicontinuity of variational integrals (1994) (17)
- On stability of weak Navier–Stokes solutions with large L3,∞ initial data (2018) (17)
- Rescalings at possible singularities of Navier-Stokes equations in half space (2013) (15)
- Uniqueness of axisymmetric viscous flows originating from circular vortex filaments (2016) (12)
- On regularity of solutions of nonlinear parabolic systems (2018) (11)
- On self-similar solutions of the Navier-Stokes equations (1995) (11)
- A Liouville theorem for the Stokes system in a half-space (2013) (9)
- Self-Similar Solutions to the Nonstationary Navier-Stokes Equations (2016) (8)
- Arnold's variational principle and its application to the stability of planar vortices (2021) (7)
- Harmonic maps on planar lattices (1997) (7)
- Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions (2013) (7)
- On 2d Incompressible Euler Equations with Partial Damping (2015) (6)
- On solutions to the Navier-Stokes equations with lower bounds on pressure (2001) (5)
- Measure filters: An extension of Weiner's Theorem (1996) (4)
- Nonexistence of solutions in nonconvex multidimensional variational problems (2000) (4)
- Vector-Valued Partial Differential Equations and Applications (2017) (3)
- Asymptotics of Stationary Navier Stokes Equations in Higher Dimensions (2018) (3)
- Self-similar solutions to the nonstationary (2018) (3)
- On the weak compactness of solutions to the equations of compressible flow (1989) (3)
- The quasiconvexification of a cubic polynomial at the origin (1997) (2)
- Hybridizable discontinuous Galerkin method for curved domains (2011) (2)
- On scale-invariant solutions of the Navier-Stokes equations (2012) (2)
- On certain models in the PDE theory of fluid flows (2017) (2)
- Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics (2015) (2)
- Vanishing viscosity limit for axisymmetric vortex rings (2023) (2)
- Selected works of Jindřich Nečas : PDEs, continuum mechanics and regularity (2015) (1)
- Aspects of PDEs related to fluid flows (2017) (1)
- Selected Works of Jindřich Nečas (2015) (0)
- On singularities in the quaternionic Burgers equation (2022) (0)
- On the Cauchy Problem for Axi-Symmetric Vortex Rings (2014) (0)
- Asymptotics of Stationary Navier Stokes Equations in Higher Dimensions (2017) (0)
- Selected Papers on Regularity Theory (2015) (0)
- A Liouville theorem for the Stokes system in a half-space (2013) (0)
- Non-Lipschitz minimizers of convex functionals (2016) (0)
- Selected Papers on Solid Mechanics, Elasticity, Thermoelasticity, and Plasticity (2015) (0)
- On the De Gregorio Modification of the Constantin–Lax–Majda Model (2018) (0)
- On singularities in the quaternionic Burgers equation (2021) (0)
- Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics (2018) (0)
- On Inviscid Limits for the Stochastic Navier–Stokes Equations and Related Models (2015) (0)
- PDE Aspects of the Navier-Stokes Equations (2009) (0)
- V.1. The Navier–Stokes Equation – Theory (2014) (0)
- Complete Bibliography of Jindřich Nečas (2015) (0)
- Selected Papers on Fluid Mechanics (2015) (0)
- Editorial (2020) (0)
- Some Notable Personal Correspondence (2015) (0)
- Angular Momenta in a Planar Field Theory (1991) (0)
- Selected Papers on Nonlinear Functional Analysis and Calculus of Variations (2015) (0)
- Comments and Recollections by Collaborators and Students (2015) (0)
- Selected Papers on Linear Elliptic Operators (2015) (0)
- On 2d Incompressible Euler Equations with Partial Damping (2017) (0)
- Abstracts Workshop on Regularity Problems in Hydrodynamics August 3-7 , 2009 Mini-Course 1 Examples of hidden convexity in hydrodynamics (0)
- Editorial (2020) (0)
- Ninth international school on mathematical theory in fluid mechanics (2006) (0)
- Local Structure of The Set of Steady-State Solutions to The 2d Incompressible Euler Equations (2012) (0)
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