Long-time behavior of the one-phase Stefan problem in periodic and random media
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Publication:1713272
DOI10.3934/dcdss.2018058OpenAlexW2745026779MaRDI QIDQ1713272
Giang Thi Thu Vu, Norbert Požár
Publication date: 24 January 2019
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.07119
Structured surfaces and interfaces, coexistent phases (74A50) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- Long-time behavior of a Hele-Shaw type problem in random media
- Rates of convergence for the homogenization of fully nonlinear uniformly elliptic PDE in random media
- Error estimates on homogenization of free boundary velocities in periodic media
- Homogenization of a Hele-Shaw problem in periodic and random media
- The regularity of free boundaries in higher dimensions
- Uniqueness and existence results on the Hele-Shaw and the Stefan problems
- Homogenization of the Hele-Shaw problem in periodic spatiotemporal media
- Homogenization of the free boundary velocity
- Homogenization of a Model Problem on Contact Angle Dynamics
- Homogenization of one-phase Stefan-type problems in periodic and random media
- A variational inequality approach to Hele-Shaw flow with a moving boundary
- The smoothness of the free boundary in the one phase stefan problem
- Asymptotic convergence of the Stefan problem to Hele-Shaw
- Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media
- The perturbed test function method for viscosity solutions of nonlinear PDE
- Free Boundary Convergence in the Homogenization of the One Phase Stefan Problem
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