A Parabolic Free Boundary Problem Arising in a Model of Cell Polarization
DOI10.1137/20M1349114zbMath1477.35318arXiv2006.16155OpenAlexW3129323450MaRDI QIDQ4964805
Unnamed Author, Juan J. L. Velazquez, Barbara Niethammer, Matthias Röger
Publication date: 4 March 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16155
small parameterboundary-value problemconvergence of solutionPDEs on surfacessystem of quasilinear second order parabolic equations
Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Perturbations in context of PDEs (35B20) Cell biology (92C37) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)
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Cites Work
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- Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains
- Turing instabilities in a mathematical model for signaling networks
- Well-posedness and fast-diffusion limit for a bulk-surface reaction-diffusion system
- On the global existence and finite time blow-up of shadow systems
- Elliptic partial differential equations of second order
- A bulk-surface reaction-diffusion system for cell polarization
- Schrödinger operators with singular potentials
- Su un problema di frontiera libera connesso a questioni di idraulica
- Symmetry breaking in a bulk–surface reaction–diffusion model for signalling networks
- Shadow systems and attractors in reaction-diffusion equations
- Activators and Inhibitors in Pattern Formation
- An Introduction to Variational Inequalities and Their Applications
- Nonlinear partial differential equations with applications
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