Moving boundary problem for a one-dimensional crawling nematode sperm cell model

DOI10.1016/J.NONRWA.2004.11.005zbMath1078.35125OpenAlexW2082485928MaRDI QIDQ2572108

Roger Lui, Patrick Groulx, Yung-Sze Choi

Publication date: 14 November 2005

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2004.11.005

zbMATH Keywords

local existenceglobal existencetraveling wave solutionscoupled hyperbolic parabolic system

Mathematics Subject Classification ID

Cell biology (92C37) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35)

Related Items (7)

Existence of traveling domain solutions for a two-dimensional moving boundary problem ⋮ 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 ⋮ Linearized stability of traveling cell solutions arising from a moving boundary problem ⋮ Emergence of traveling waves and their stability in a free boundary model of cell motility

Cites Work

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• Existence of traveling wave solutions for a one-dimensional cell motility model
• A simple 1-D physical model for the crawling nematode sperm cell
• Traveling wave solutions for a one-dimensional crawling nematode sperm cell model

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