A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities in a channel with decreasing cross section

DOI10.1016/j.na.2018.03.004zbMath1433.35191OpenAlexW2789236789WikidataQ130079924 ScholiaQ130079924MaRDI QIDQ1748241

Simon Eberle

Publication date: 9 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.03.004

zbMATH Keywords

heteroclinic orbittraveling wavereaction diffusion equation

Mathematics Subject Classification ID

Traveling wave solutions (35C07) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (5)

Front blocking versus propagation in the presence of drift term varying in the direction of propagation ⋮ Entire solutions for an inhomogeneous bistable discrete diffusive equation ⋮ Front blocking in the presence of gradient drift ⋮ Propagation dynamics of nonlocal dispersal equations with inhomogeneous bistable nonlinearity ⋮ Reaction-diffusion fronts in funnel-shaped domains

Cites Work

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• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities
• Travelling fronts in cylinders
• Generalized traveling waves in disordered media: existence, uniqueness, and stability
• Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation
• Front blocking and propagation in cylinders with varying cross section
• Bistable traveling waves around an obstacle
• Stability of Planar Waves in the Allen–Cahn Equation
• Front propagation in periodic excitable media
• Generalized Transition Waves and Their Properties

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