A variational property of critical speed to travelling waves in the presence of nonlinear diffusion

DOI10.1016/j.aml.2015.03.011zbMath1322.49005OpenAlexW2055396826MaRDI QIDQ494549

Luís Sanchez, Andrea Gavioli

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.011

zbMATH Keywords

travelling wavesnonlinear diffusioncritical speedconstrained minimum problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence theories for optimal control problems involving partial differential equations (49J20) Traveling wave solutions (35C07)

Related Items (6)

The Fisher-KPP problem with doubly nonlinear ``fast diffusion ⋮ The Fisher-KPP problem with doubly nonlinear diffusion ⋮ Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form ⋮ Singular integral equations with applications to travelling waves for doubly nonlinear diffusion ⋮ Homoclinic and heteroclinic solutions for non-autonomous Minkowski-curvature equations ⋮ Monotone wave fronts for \((p, q)\)-Laplacian driven reaction-diffusion equations

Cites Work

• Hölder continuity for Trudinger's equation in measure spaces
• Travelling fronts in cylinders
• Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation
• A class of singular first order differential equations with applications in reaction-diffusion

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