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- Title
Metastable solutions for the thin‐interface limit of a p‐Laplacian phase field model.
- Authors
Jiménez‐Casas, Ángela
- Abstract
We consider a generalization of the semilinear phase field model from G. Caginalp), A. Jiménez‐Casas, and Rodriguez‐Bernal using a nonlinear diffusion operator (p‐Laplacian) for the phase field function. The main objective of this work is to prove the existence of the metastable solutions of the generalized system in the one‐dimensional case, which evolve very slowly in time.
- Subjects
METASTABLE states; LAPLACIAN matrices; NONLINEAR systems; SEMILINEAR elliptic equations; DIFFUSION processes
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 16, p6851
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5197