Phase transitions and generalized motion by mean curvature

Communications on Pure and Applied Mathematics

Volumn 45, Issue 9, 1992, Pages 1097-1123

  Evans, L C ^a   Soner, H M ^b   Souganidis, P E ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84990617538     PISSN: 00103640     EISSN: 10970312     Source Type: Journal    
DOI: 10.1002/cpa.3160450903     Document Type: Article

References (47)

1. A macroscopic theory for antiphase boundary motion and its application to antiphase domain coarsing
2. Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface
3. Front propagation for reaction‐diffusion equations of bistable type
4. Front propagation and phase field theory
5. Motion by mean curvature as the singular limit of Ginzburg‐Landau model
6. The role of microscopic anisotry in the macroscopic behavior of a phase boundary
7. Mathematical models of phase boundaries
8. Free energy of nonuniform system, I: Interfacial energy
9. Uniqueness and existence of viscosity solutions of generalized mean cuvature flow equations
10. Generation and propagation of the interface for reaction‐diffusion equation
11. Some properties of viscosity solutions of Hamilton‐Jacobi equations
12. User's guide to viscosity solutions of second‐order partial differential equations
13. Viscosity solutions of Hamilton‐Jacobi equations
14. Evolution géometrique d'interface
15. N
16. Motion of level sets by mean curvature I
17. Motion of level sets by mean curvature II
18. Motion of level sets by mean curvature III
19. The approach of solutions of nonlinear diffusion equations to travelling front solutions
20. The theory of phase transitions for systems with two potential wells
21. Bistable reaction‐diffusion equations and excitable media
22. A short note on the evolution of surfaces via mean curvature
23. The dynamics of first‐order phase transitions
24. Multiphase thermomechanics with interfacial structure 1. Heat conduction and the capillary balance law
25. Multiphase thermomechanics with interfacial structure. Towards a nonequilibrium thermomechanics of two phase materials
26. On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDEs
27. The maximum principle for viscosity solutions of second‐order fully nonlinear partial differential equations
28. A uniqueness result for viscosity solutions of second‐order fully nonlinear partial differential equations
29. Optimal control of diffusion processes and Hamilton‐Jacobi‐Bellman equations, I
30. Optimal control of diffusion processes and Hamilton‐Jacobi‐Bellman equations, II: viscosity solutions and uniqueness
31. Gradient theory of phase transitions and minimal interphase criterion
32. Universal scaling in the motion of random interfaces
33. Fronts propagation with curvature dependent speed: algorithms based on Hamilton‐Jacobi formulations
34. Front migration for the nonlinear Cahn‐Hillard equation
35. Fast reaction, slow diffusion and curve shortening
36. Curvature and evolution of fronts
37. Recent numerical algorithms for hypersurfaces moving with curvature dependent speed: Hamilton‐Jacobi equations and conservation laws
38. Motion of a set by the curvature of its boundary
39. Uniqueness and singularities of cylindrically symmetric surfaces by mean curvature
40. The effect of singular perturbation on nonconvex variational problems
41. Vector‐valued local minimizers of nonconvex variational problems