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David Kinderlehrer - Publications

Affiliations: 
Carnegie Mellon University, Pittsburgh, PA 
Area:
Mathematics
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48 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2017 Kinderlehrer D, Monsaingeon L, Xu X. A Wasserstein gradient flow approach to Poisson−Nernst−Planck equations Esaim: Control, Optimisation and Calculus of Variations. 23: 137-164. DOI: 10.1051/Cocv/2015043  0.36
2015 Torres CE, Emelianenko M, Golovaty D, Kinderlehrer D, Ta'Asan S. Numerical analysis of the vertex models for simulating grain boundary networks Siam Journal On Applied Mathematics. 75: 762-786. DOI: 10.1137/140999232  0.337
2013 Barmak K, Eggeling E, Kinderlehrer D, Sharp R, Ta'Asan S, Rollett AD, Coffey KR. Grain growth and the puzzle of its stagnation in thin films: The curious tale of a tail and an ear Progress in Materials Science. 58: 987-1055. DOI: 10.1016/J.Pmatsci.2013.03.004  0.351
2012 Barmak K, Eggeling E, Sharp R, Roberts S, Shyu T, Sun T, Yao B, Ta'asan S, Kinderlehrer D, Rollett A, Coffey K. Grain growth and the puzzle of its stagnation in thin films: A detailed comparison of experiments and simulations Materials Science Forum. 715: 473-479. DOI: 10.4028/Www.Scientific.Net/Msf.715-716.473  0.368
2012 Barmak K, Eggeling E, Emelianenko M, Epshteyn Y, Kinderlehrer D, Sharp R, Ta'Asan S. A first approach toward a proper generalized decomposition based time parallelization Materials Science Forum. 715: 279-285. DOI: 10.4028/Www.Scientific.Net/Msf.715-716.279  0.371
2011 Barmak K, Eggeling E, Emelianenko M, Epshteyn Y, Kinderlehrer D, Sharp R, Ta'Asan S. An entropy based theory of the grain boundary character distribution Discrete and Continuous Dynamical Systems. 30: 427-454. DOI: 10.3934/Dcds.2011.30.427  0.414
2011 Barmak K, Eggeling E, Emelianenko M, Epshteyn Y, Kinderlehrer D, Sharp R, Ta'Asan S. Critical events, entropy, and the grain boundary character distribution Physical Review B - Condensed Matter and Materials Physics. 83. DOI: 10.1103/Physrevb.83.134117  0.413
2009 Chipot M, Hilhorst D, Kinderlehrer D, Olech M. Contraction In L 1 For A System Arising In Chemical Reactions And Molecular Motors Differential Equations and Applications. 1: 139-151. DOI: 10.5167/Uzh-21331  0.315
2008 Barmak K, Emelianenko M, Golovaty D, Kinderlehrer D, Ta'Asan S. Towards a statistical theory of texture evolution in polycrystals Siam Journal On Scientific Computing. 30: 3150-3169. DOI: 10.1137/070692352  0.388
2007 Kinderlehrer D. Mathematical physics: added dimensions to grain growth. Nature. 446: 995-6. PMID 17460656 DOI: 10.1038/446995A  0.309
2007 Hastings S, Kinderlehrer D, McLeod JB. Diffusion mediated transport in multiple state systems Siam Journal On Mathematical Analysis. 39: 1208-1230. DOI: 10.1137/060650994  0.347
2006 Kinderlehrer D, Livshits I, Ta'asan S. A variational approach to modeling and simulation of grain growth Siam Journal On Scientific Computing. 28: 1694-1715. DOI: 10.1137/030601971  0.384
2006 Barmak K, Kim J, Kim CS, Archibald WE, Rohrer GS, Rollett AD, Kinderlehrer D, Ta'Asan S, Zhang H, Srolovitz DJ. Grain boundary energy and grain growth in Al films: Comparison of experiments and simulations Scripta Materialia. 54: 1059-1063. DOI: 10.1016/J.Scriptamat.2005.11.060  0.331
2005 Barmak K, Archibald WE, Kim J, Kim CS, Rollett AD, Rohrer GS, Ta'asan S, Kinderlehrer D. Grain boundary energy and grain growth in highly-textured al films and foils: Experiment and simulation Materials Science Forum. 495: 1255-1260. DOI: 10.4028/Www.Scientific.Net/Msf.495-497.1255  0.363
2005 Kinderlehrer D, Tudorascu A. Transport via mass transportation Discrete and Continuous Dynamical Systems-Series B. 6: 311-338. DOI: 10.3934/Dcdsb.2006.6.311  0.643
2004 Kinderlehrer D, Livshits I, Rohrer GS, Ta'asan S, Yu P. Mesoscale Simulation of the Evolution of the Grain Boundary Character Distribution Materials Science Forum. 1063-1068. DOI: 10.4028/Www.Scientific.Net/Msf.467-470.1063  0.377
2004 Kinderlehrer D, Lee J, Livshits I, Rollett A, Ta'asan S. Mesoscale Simulation of Grain Growth Materials Science Forum. 1057-1062. DOI: 10.4028/Www.Scientific.Net/Msf.467-470.1057  0.412
2004 Barmak K, Archibald WE, Rollett AD, Ta'asan S, Kinderlehrer D. Grain boundary properties and grain growth: Al foils, al films Materials Research Society Symposium - Proceedings. 819: 225-236. DOI: 10.1557/Proc-819-N6.6  0.302
2004 Chipot M, Hastings S, Kinderlehrer D. Transport in a molecular motor system Mathematical Modelling and Numerical Analysis. 38: 1011-1034. DOI: 10.1051/M2An:2004048  0.302
2003 Chipot M, Kinderlehrer D, Kowalczyk M. A variational principle for molecular motors Meccanica. 38: 505-518. DOI: 10.1023/A:1024719028273  0.322
2002 Kinderlehrer D, Ta'asan S, Livshits I, Mason DE. The surface energy of MgO: Multiscale reconstruction from thermal groove geometry Interface Science. 10: 233-242. DOI: 10.1023/A:1015836532734  0.367
2001 Kinderlehrer D, Liu C. Evolution Of Grain Boundaries Mathematical Models and Methods in Applied Sciences. 11: 713-729. DOI: 10.1142/S0218202501001069  0.373
2000 Kinderlehrer D, Livshits I, Manolache F, Rollett AD, Ta'asan S. An Approach to the Mesoscale Simulation of Grain Growth Mrs Proceedings. 652. DOI: 10.1557/Proc-652-Y1.5  0.377
1999 Hardt R, Kinderlehrer D. Some Regularity Results In Ferromagnetism Communications in Partial Differential Equations. 25: 1235-1258. DOI: 10.1080/03605300008821549  0.316
1999 Jordan R, Kinderlehrer D, Otto F. Dynamics of the fokker-planck equation Phase Transitions. 69: 271-288. DOI: 10.1080/01411599908209295  0.344
1999 Kinderlehrer D, Walkington NJ. Approximation of Parabolic Equations Using the Wasserstein Metric Mathematical Modelling and Numerical Analysis. 33: 837-852. DOI: 10.1051/M2An:1999166  0.334
1999 Adams B, Ta'Asan S, Kinderlehrer D, Livshits I, Mason D, Wu C, Mullins W, Rohrer G, Rollett A, Saylor D. Interface Science. 7: 321-337. DOI: 10.1023/A:1008733728830  0.379
1999 Rollett AD, Yang C-, Mullins WW, Adams BL, Wu CT, Bauer CL, Kinderlehrer D, Ta'asan S, Manolache F, Liu C, Livshits I, Mason D, Talukder A, Ozdemir S, Casasent D, et al. Extraction of Grain Boundary Energies from Triple Junction Geometry Microscopy and Microanalysis. 5: 230-231. DOI: 10.1017/S1431927600014471  0.351
1999 Kinderlehrer D, Mason DE. Incoherence at heterogeneous interfaces Journal of the Mechanics and Physics of Solids. 47: 1609-1632. DOI: 10.1016/S0022-5096(98)00123-9  0.364
1998 Jordan R, Kinderlehrer D, Otto F. The variational formulation of the Fokker-Planck equation Siam Journal On Mathematical Analysis. 29: 1-17. DOI: 10.1137/S0036141096303359  0.303
1997 Adams B, Kinderlehrer D, Ta'asan S, Mullins W, Costiner S. Extracting the Grain Boundary Character/Free Energy Relationship from the Microstructure: Pure <100> and <111> Tilt Boundaries Mrs Proceedings. 472. DOI: 10.1557/Proc-472-105  0.388
1997 Jordan R, Kinderlehrer D, Otto F. Free energy and the Fokker-Planck equation Physica D: Nonlinear Phenomena. 107: 265-271. DOI: 10.1016/S0167-2789(97)00093-6  0.38
1995 Chipot M, Collins C, Kinderlehrer D. Numerical analysis of oscillations in multiple well problems Numerische Mathematik. 70: 259-282. DOI: 10.1007/S002110050119  0.339
1992 Kinderlehrer D, Pedregal P. Weak convergence of integrands and the young measure representation Siam Journal On Mathematical Analysis. 23: 1-19. DOI: 10.1137/0523001  0.327
1991 Collins C, Kinderlehrer D, Luskin M. Numerical approximation of the solution of variational problem with a double well potential Siam Journal On Numerical Analysis. 28: 321-332. DOI: 10.1137/0728018  0.363
1989 Kinderlehrer D, Vergara-Caffarelli G. The relaxation of functionals with surface energies Asymptotic Analysis. 2: 279-298. DOI: 10.3233/Asy-1989-2402  0.306
1988 Hardt R, Kinderlehrer D, Lin F. Stable defects of minimizers of constrained variational principles Annales De L Institut Henri Poincare-Analyse Non Lineaire. 5: 297-322. DOI: 10.1016/S0294-1449(16)30340-7  0.325
1987 Boieri P, Gastaldi F, Kinderlehrer D. Existence, uniqueness, and regularity results for the two-body contact problem Applied Mathematics and Optimization. 15: 251-277. DOI: 10.1007/Bf01442654  0.305
1986 Kinderlehrer D. A relation between semi-inverse and Saint-Venant solutions for prisms Siam Journal On Mathematical Analysis. 17: 626-640. DOI: 10.1137/0517046  0.309
1986 Hardt R, Kinderlehrer D, Lin FH. Existence and partial regularity of static liquid crystal configurations Communications in Mathematical Physics. 105: 547-570. DOI: 10.1007/Bf01238933  0.305
1986 Chipot M, Kinderlehrer D, Caffarelli GV. Smoothness of Linear Laminates Archive For Rational Mechanics and Analysis. 96: 383-398. DOI: 10.1007/978-3-642-83743-2_19  0.363
1982 Kinderlehrer D. Estimates for the solution and its stability in Signorini's problem Applied Mathematics and Optimization. 8: 159-188. DOI: 10.1007/Bf01447756  0.3
1978 Kinderlehrer D. Variational inequalities and free boundary problems Bulletin of the American Mathematical Society. 84: 7-26. DOI: 10.1090/S0002-9904-1978-14397-3  0.347
1978 Kinderlehrer D, Nirenberg L, Spruck J. Regularity in elliptic free boundary problems I Journal D'Analyse MathéMatique. 34: 86-119. DOI: 10.1007/Bf02790009  0.349
1978 Kinderlehrer D, Nirenberg L. Analyticity at the boundary of solutions of nonlinear second‐order parabolic equations Communications On Pure and Applied Mathematics. 31: 283-338. DOI: 10.1002/Cpa.3160310303  0.366
1978 Kinderlehrer D, Nirenberg L. The smoothness of the free boundary in the one phase stefan problem Communications On Pure and Applied Mathematics. 31: 257-282. DOI: 10.1002/Cpa.3160310302  0.318
1975 Stampacchia G, Kinderlehrer D. A free boundary value problem in potential theory Annales De L'Institut Fourier. 25: 323-344. DOI: 10.5802/Aif.587  0.323
1971 Kinderlehrer D. Variational inequalities with lower dimensional obstacles Israel Journal of Mathematics. 10: 339-348. DOI: 10.1007/Bf02771651  0.321
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