Travelling Wave Solutions to a Gradient System

DOI10.2307/2001187zbMath0696.35081OpenAlexW4240959596MaRDI QIDQ3472508

James F. Reineck

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001187

zbMATH Keywords

gradient systemreaction-diffusion equationstravelling wave solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Variational problems in infinite-dimensional spaces (58E99)

Related Items (10)

Front propagation in both directions and coexistence of traveling fronts and pulses ⋮ A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System ⋮ Traveling wave solutions to the Allen-Cahn equation ⋮ Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders ⋮ Traveling pulse solutions to Fitzhugh-Nagumo equations ⋮ Homoclinic orbits in Hamiltonian systems and heteroclinic orbits in gradient and gradient-like systems ⋮ The Connection Matrix in Morse-Smale Flows ⋮ The Continuation Theory for Morse Decompositions and Connection Matrices ⋮ On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation ⋮ Traveling Wave Solutions of a Gradient System: Solutions with a Prescribed Winding Number. I

Cites Work

• Unnamed Item
• Index Filtrations and the Homology Index Braid for Partially Ordered Morse Decompositions
• The Connection Matrix Theory for Morse Decompositions
• Connected Simple Systems and The Conley Index of Isolated Invariant Sets
• Infinitely Many Traveling Wave Solutions of a Gradient System
• Connecting orbits in one-parameter families of flows

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