David Kinderlehrer
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American mathematician
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David Kinderlehrermathematics Degrees
Mathematics
#1958
World Rank
#3101
Historical Rank
#784
USA Rank
Measure Theory
#544
World Rank
#759
Historical Rank
#226
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Mathematics
David Kinderlehrer's Degrees
- Bachelors Mathematics University of California, Berkeley
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Why Is David Kinderlehrer Influential?
(Suggest an Edit or Addition)According to Wikipedia, David Samuel Kinderlehrer is an American mathematician, who works on partial differential equations and related mathematics applied to materials in biology and physics. Kinderlehrer received in 1963 his bachelor's degree from MIT and in 1968 his Ph.D. from the University of California, Berkeley under Hans Lewy with thesis Minimal surfaces whose boundaries contain spikes. He became in 1968 an instructor and in 1975 a full professor at the University of Minnesota in Minneapolis. For the academic year 1971–1972 he was a visiting professor at the Scuola Normale Superiore di Pisa. In 2003 he became a professor at Carnegie Mellon University.
David Kinderlehrer'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
- An introduction to variational inequalities and their applications (1980) (4427)
- THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION (1996) (1539)
- Existence and partial regularity of static liquid crystal configurations (1986) (344)
- Characterizations of young measures generated by gradients (1991) (308)
- Regularity in free boundary problems (1977) (285)
- Gradient Young measures generated by sequences in Sobolev spaces (1994) (247)
- Equilibrium configurations of crystals (1988) (245)
- Frustration in ferromagnetic materials (1990) (197)
- Homogenization and effective moduli of materials and media (1986) (186)
- The Smoothness of Solutions to Nonlinear Variational Inequalities (1974) (140)
- Theory of magnetostriction with applications to TbxDy1-xFe2 (1993) (134)
- Regularity in elliptic free boundary problems I (1978) (133)
- Weak convergence of integrands and the young measure representation (1992) (104)
- Stable defects of minimizers of constrained variational principles (1988) (93)
- Grain growth and the puzzle of its stagnation in thin films: The curious tale of a tail and an ear (2013) (88)
- Numerical approximation of the solution of variational problem with a double well potential (1991) (85)
- Potential methods in variational inequalities (1980) (84)
- The smoothness of the free boundary in the one phase stefan problem (1978) (81)
- Theory and Applications of Liquid Crystals (1987) (81)
- EVOLUTION OF GRAIN BOUNDARIES (2001) (77)
- Smoothness of linear laminates (1986) (76)
- Theory of diffusionless phase transitions (1989) (70)
- A Variational Approach to Modeling and Simulation of Grain Growth (2006) (68)
- Extracting Grain Boundary and Surface Energy from Measurement of Triple Junction Geometry (1999) (66)
- Minimum Energy Configurations for Liquid Crystals: Computational Results (1987) (66)
- Grain boundary energy and grain growth in Al films: Comparison of experiments and simulations (2006) (66)
- Remarks about Equilibrium Configurations of Crystals (1987) (65)
- Metastability and incompletely posed problems (1987) (62)
- Free energy and the Fokker-Planck equation (1997) (61)
- Mathematical Questions of Liquid Crystal Theory (1987) (60)
- Numerical analysis of oscillations in multiple well problems (1995) (57)
- Approximation of Parabolic Equations Using the Wasserstein Metric (1999) (56)
- Remarks about Signorini's problem in linear elasticity (1981) (53)
- Analyticity at the boundary of solutions of nonlinear second‐order parabolic equations (1978) (53)
- Oscillation theory, computation, and methods of compensated compactness (1986) (53)
- Extracting the relative grain boundary free energy and mobility functions from the geometry of microstructures (1998) (50)
- Elastic plastic deformation (1983) (48)
- A HYBRID VARIATIONAL PRINCIPLE FOR THE KELLER-SEGEL SYSTEM IN R 2 (2015) (47)
- Critical events, entropy, and the grain boundary character distribution (2011) (46)
- Mesoscale Simulation of the Evolution of the Grain Boundary Character Distribution (2004) (44)
- The Variety of Configurations of Static Liquid Crystals (1990) (43)
- Variational inequalities and free boundary problems (1978) (42)
- Existence, uniqueness, and regularity results for the two-body contact problem (1987) (42)
- Diffusion-Mediated Transport¶and the Flashing Ratchet (2002) (41)
- A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations (2015) (33)
- Frustration and microstructure : an example in magnetostriction (1991) (33)
- A Variational Principle for Molecular Motors (2003) (32)
- Discrete and continuous ratchets: from coin toss to molecular motor (2002) (32)
- Recent Developments in Liquid Crystal Theory (1989) (31)
- Mesoscale Simulation of Grain Growth (2004) (30)
- The coincidence set of solutions of certain variational inequalities (1971) (30)
- Theory of magnetostriction with application to Terfenol-D (1994) (30)
- The shape and smoothness of stable plasma configurations (1978) (30)
- Microstructure and phase transition (1993) (27)
- Some Regularity Results In Ferromagnetism (1999) (26)
- How a minimal surface leaves an obstacle (1972) (26)
- Energy Functionals Depending on Elastic Strain and Chemical Composition (2005) (25)
- Transport in a molecular motor system (2004) (23)
- The elementary defects of the Oseen-Frank energy for a liquid crystal (1993) (23)
- Computational hysteresis in modeling magnetic systems (1994) (23)
- Second variation of liquid crystal energy at x/|x| (1992) (21)
- Towards a Statistical Theory of Texture Evolution in Polycrystals (2008) (21)
- Twinning of Crystals (II) (1987) (21)
- An entropy based theory of the grain boundary character distribution (2011) (20)
- Remarks about the Flashing Rachet (2004) (20)
- Energy functional depending on elastic strain and chemical composition (1994) (20)
- Mathematical approaches to the study of smart materials (1993) (19)
- The hysteretic event in the computation of magnetization (1997) (19)
- Remarks about the mathematical theory of liquid crystals (1988) (18)
- Variational inequalities with lower dimensional obstacles (1971) (18)
- An Extended Variational Principle (1995) (17)
- Diffusion Mediated Transport in Multiple State Systems (2007) (15)
- An Approach to the Mesoscale Simulation of Grain Growth (2000) (14)
- Numerical Analysis of the Vertex Models for Simulating Grain Boundary Networks (2014) (14)
- Grain Growth and the Puzzle of its Stagnation in Thin Films a Detailed Comparison of Experiments and Simulations (2012) (12)
- Remarks about gradient Young measures generated by sequences in Soblev [i.e., Sobolev] spaces (1992) (12)
- Towards a gradient flow for microstructure (2017) (12)
- Mathematical physics: Added dimensions to grain growth (2007) (11)
- Simulation of hysteresis in nonlinear systems (1994) (11)
- The relaxation of functionals with surface energies (1989) (11)
- The boundary regularity of minimal surfaces (1969) (11)
- Dynamics of the fokker-planck equation (1999) (11)
- An Example of Frustration in a Ferromagnetic Material (1991) (10)
- DIFFUSION MEDIATED TRANSPORT WITH A LOOK AT MOTOR PROTEINS (2008) (10)
- Estimates for the solution and its stability in Signorini's problem (1982) (9)
- The Janossy effect and hybrid variational principles (2008) (9)
- Geometric growth and character development in large metastable networks (2008) (9)
- Some methods of analysis in the study of microstructure (1992) (9)
- Variational Principles with Linear Growth (1989) (9)
- Predictive Theory for the Grain Boundary Character Distribution (2012) (8)
- Remarks on a multiscale approach to grain growth in polycrystals (2006) (8)
- Grain Boundary Properties and Grain Growth: Al Foils, Al Films (2004) (8)
- The Surface Energy of MgO: Multiscale Reconstruction from Thermal Groove Geometry (2002) (8)
- The partially supported elastic beam (1983) (8)
- On a statistical theory of critical events in microstructural evolution (2007) (8)
- 8. A One Phase Stefan Problem (2000) (7)
- Transport via mass transportation (2005) (7)
- Amorphous Polymers and Non-Newtonian Fluids (1987) (7)
- Grain Boundary Energy and Grain Growth in Highly-Textured Al Films and Foils: Experiment and Simulation (2005) (7)
- CONTRACTION IN L 1 FOR A SYSTEM ARISING IN CHEMICAL REACTIONS AND MOLECULAR MOTORS (2009) (7)
- A class of parabolic quasi-variational inequalities (1976) (6)
- Remarks About Diffusion Mediated Transport: Thinking About Motion in Small Systems (2005) (6)
- A free boundary value problem in potential theory (1975) (6)
- Grain Boundary Property Determination through Measurement of Triple Junction Geometry and Crystallography (2006) (6)
- A remark about the stability of smooth equilibrium configurations of static liquid crystals (1986) (6)
- The regularity of minimal surfaces defined over slit domains. (1971) (6)
- Spurious oscillations in computing microstructures (1993) (6)
- A hybrid variational principle for the Keller-Segel system in $\mathbb R^2$ (2014) (6)
- Dynamical Problems in Continuum Physics (1987) (5)
- Metastability and hysteresis in active materials (1997) (4)
- Relaxation in BV x L[infinity] of functionals depending on strain and composition (1993) (4)
- Extraction of Grain Boundary Energies from Triple Junction Geometry (1999) (4)
- Extracting the Grain Boundary Character/Free Energy Relationship from the Microstructure: Pure and Tilt Boundaries (1997) (3)
- Second variation of liquid crystal energy at x [absolute value of x] (1991) (3)
- A relation between semi-inverse and Saint-Venant solutions for prisms (1986) (3)
- Revisiting the focal conic structures in smetic [i.e, smectic] A (1996) (3)
- MATERIALS MICROSTRUCTURES: ENTROPY AND CURVATURE-DRIVEN COARSENING (2013) (3)
- Characterizations of Young measures (1990) (3)
- A Theory and Challenges for Coarsening in Microstructure (2013) (3)
- Existence et regularite des configurations statiques des cristaux liquides (French): [Existence and smoothness of static liquid crystal configurations] (1985) (2)
- A Mathematical Tribute to ENNIO DE GIORGI (2016) (2)
- Contraction in L 1 and large time behavior for a system arising in chemical reactions and molecular motors (2008) (2)
- Some open questions about variational inequalities (1972) (2)
- The flashing ratchet: long time behavior and dynamical systems interpretation (2002) (2)
- Mathematics and Materials (2017) (2)
- TEXTURE EVOLUTION VIA CONTINUOUS TIME RANDOM WALK THEORY (2006) (2)
- A mathematical afterthought (1984) (2)
- 4. Problems of Regularity (2000) (1)
- The simulation of magnetoelastic configurations (1997) (1)
- Phase transitions in crystals: towards the analysis of microstructure (1987) (1)
- 3. Variational Inequalities for Monotone Operators (2000) (1)
- Remarks about metastability (1997) (1)
- Minimum Energy for Liquid Crystals: Computational Results (1986) (1)
- Modeling magnetostrictive microstructure under loading : and, Simulation of magnetoelastic systems (1996) (1)
- Analysis and computation in non-convex well problems (1996) (1)
- Remarks about Gradient Young Measures Generated by Sequences in Soblev Spaces (2005) (1)
- Incoherence at heterogeneous interfaces (1999) (1)
- TOWARDS A STATISTICAL THEORY OF TEXTURE EVOLUTION (2007) (1)
- Diffusion Mediated Transport and the Brownian Motor (2004) (1)
- From deterministic curvature driven grain growth to stochastic models (2003) (1)
- GRAIN BOUNDARY EVOLUTION: NEW PERSPECTIVES (2006) (1)
- Simulation of magnetoelastic systems (1996) (1)
- Comparison of simulated and measured grain volume changes during grain growth (2022) (1)
- Recent Developments in Material Microstructure: a Theory of Coarsening (2015) (1)
- 6. Free Boundary Problems Governed by Elliptic Equations and Systems (2000) (0)
- On mass transportation and transport equations (2004) (0)
- Remarks about the dynamics of the Fokker–Planck equation ☆ (2000) (0)
- Transitions, Defects, and Whiskered Microstructures. (1995) (0)
- 2. Variational Inequalities in Hilbert Space (2000) (0)
- The Analyticity of the Coincidence Set in Variational Inequalities (2010) (0)
- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS (1984) (0)
- Book Review: Weak convergence methods for nonlinear partial differential equations (1992) (0)
- A Brief Overview on The Obstacle Problem (2012) (0)
- Research in Nonlinear Material Behavior (2000) (0)
- Remarks About the Free Boundaries Occurring in Variational Inequalities (2011) (0)
- Aspects of Modeling Transport in Small Systems with a Look at Motor Proteins (2008) (0)
- 9 The Hysteric Event in the Computation of Magentization (2005) (0)
- %'OOS Revisiting the Focal Conic Structures in Smetic A (2005) (0)
- MATERIALS MICROSTRUCTURES : ENTROPY AND CURVATURE-DRIVEN COARSENING (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications) (2014) (0)
- Calculus of variations and partial differential equations : proceedings of a conference held in Trento, Italy, June 16-21, 1986 (1988) (0)
- Periodic Motions of Stokes and Navier – Stokes Flows Around a Rotating Obstacle Thieu Huy Nguyen (0)
- T Theory of Magnetostriction with Applications to TbxDyi-x Fe 2 (2005) (0)
- Hans Lewy selecta (2002) (0)
- Biographical Sketch (2016) (0)
- NMAT MICROSTRUCTURAL EVOLUTION AND METASTABILITY IN ACTIVE MATERIALS (2015) (0)
- 7. Applications of Variational Inequalities (2000) (0)
- Louis Nirenberg (1925–2020) (2021) (0)
- Some Smoothness Properties of Linear Laminates (1985) (0)
- Elementary Problems: E2797-E2802 (1979) (0)
- 1. Variational Inequalities in ℝN (2000) (0)
- Computational hysteresis in magnetoelastic systems (1996) (0)
- Nonlinear Analysis in the Science of Materials (2001) (0)
- 5. Free Boundary Problems and the Coincidence Set of the Solution (2000) (0)
- Multiscale modeling and simulation of grain boundary evolution (2003) (0)
- Microstructural evolution and metastability in active materials (1998) (0)
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