Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation.

DOI10.1006/jdeq.2000.3984zbMath1109.35361OpenAlexW1984697281MaRDI QIDQ5955186

C. Eugene Wayne, Vivi Rottschäfer

Publication date: 22 April 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3984

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35)

Related Items

Optimal control problem for the extended Fisher-Kolmogorov equation, Instabilities and propagation properties in a fourth-order reaction-diffusion equation, Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto-Sivashinsky equation, Universal selection of pulled fronts, Spectral stability of the critical front in the extended Fisher-KPP equation, Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation, Front propagation into unstable states, Attractor bifurcation for the extended Fisher-Kolmogorov equation with periodic boundary condition, Asymptotic stability of the critical Fisher-KPP front using pointwise estimates, Asymptotic Stability of Critical Pulled Fronts via Resolvent Expansions Near the Essential Spectrum, Series solutions and bifurcation of traveling waves in the Benney-Kawahara-Lin equation, Traveling waves in a bio-reactor model

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