Long-time behavior of the one-phase Stefan problem in periodic and random media

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

zbMATH Keywords

homogenizationlong-time behaviorStefan problemviscosity solutionsHele-Shaw problem

Mathematics Subject Classification ID

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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