Existence of traveling domain solutions for a two-dimensional moving boundary problem

DOI10.1090/S0002-9947-09-04562-0zbMath1167.35053OpenAlexW2082531248MaRDI QIDQ5322883

Roger Lui, Yung-Sze Choi

Publication date: 23 July 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04562-0

zbMATH Keywords

moving boundary problemcell motilitytraveling domain solutions

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Cell movement (chemotaxis, etc.) (92C17)

Related Items (5)

One-dimensional viscoelastic cell motility models ⋮ Multiple existence of traveling waves of a free boundary problem describing cell motility ⋮ Traveling wave solutions with convex domains for a free boundary problem ⋮ Global existence of solutions to a coupled parabolic-hyperbolic system with moving boundary ⋮ Compact traveling waves for anisotropic curvature flows with driving force

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• On the existence of finger solutions of the Hele-Shaw equation
• Linearized stability of traveling cell solutions arising from a moving boundary problem
• On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions

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