Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part II: Generic nonlinearities

DOI10.1080/03605302.2019.1700273zbMath1439.35200OpenAlexW3003992177MaRDI QIDQ3296351

Peter Poláčik, Hiroshi Matano

Publication date: 7 July 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2019.1700273

zbMATH Keywords

convergencetraveling frontspropagating terracesquasiconvergencelocalized initial dataparabolic equations \(\mathbb{R}\)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Spreading sets and one-dimensional symmetry for reaction-diffusion equations ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. III: Unstable limit at infinity ⋮ Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts ⋮ Weak and strong interaction of excitation kinks in scalar parabolic equations ⋮ Reaction-diffusion equations in the half-space ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. II: Equal limits at infinity ⋮ Localized and expanding entire solutions of reaction-diffusion equations ⋮ Periodic motions for multi-wells potentials and layers dynamic for the vector Allen-Cahn equation

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