ASYMPTOTIC PROFILES FOR A TRAVELING FRONT SOLUTION OF A BIOLOGICAL EQUATION

DOI10.1142/S0218202511005696zbMath1252.35061arXiv1005.1729WikidataQ113777326 ScholiaQ113777326MaRDI QIDQ2890983

Romain Joly, Guillemette Chapuisat

Publication date: 12 June 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1729

zbMATH Keywords

Sturm-Liouville theoryspreading depression

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Neural biology (92C20) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

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Cites Work

• Existence and nonexistence of curved front solution of a biological equation
• Extremal equilibria for reaction-diffusion equations in bounded domains and applications
• A permutation related to the dynamics of a scalar parabolic PDE
• Invariant foliations for \(C^1\) semigroups in Banach spaces
• Heteroclinic orbits of semilinear parabolic equations
• Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure
• Bifurcation and stability for a nonlinear parabolic partial differential equation
• Existence and Nonexistence of Traveling Wave Solutions for a Bistable Reaction-Diffusion Equation in an Infinite Cylinder Whose Diameter is Suddenly Increased

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