The existence of dendritic fronts

DOI10.1007/BF01206953zbMath0629.35062OpenAlexW2091794025MaRDI QIDQ5903475

Pierre Collet, Jean-Pierre Eckmann

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206953

zbMATH Keywords

existencetravelling wavesperturbationuniquenesssmall parameterpattern formationstationary solutiontrailing edgefourth-ordersemilinearestimates on weighted spacesstable manifold theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20)

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Cites Work

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• Multidimensional nonlinear diffusion arising in population genetics
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Invariant manifolds