Asymptotic behavior of solutions of reaction-diffusion equations with varying drift coefficients

DOI10.1007/BF00276293zbMath0618.35058OpenAlexW2038525717MaRDI QIDQ1822269

Kôhei Uchiyama

Publication date: 1985

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276293

zbMATH Keywords

blow uptravelling frontsspherically symmetric solutionsinitial-boundary-value problemone- dimensional diffusionvarying drift coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (15)

Curvature-driven front propagation through planar lattices in oblique directions ⋮ Stability of radially symmetric travelling waves in reaction-diffusion equations ⋮ Spreading sets and one-dimensional symmetry for reaction-diffusion equations ⋮ Nonexistence of radial time-periodic solutions of reaction-diffusion equations with generic nonlinearities ⋮ A free boundary problem of nonlinear diffusion equation with positive bistable nonlinearity in high space dimensions. II: Asymptotic profiles of solutions and radial terrace solution ⋮ Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\) ⋮ Attractors in a density-dependent diffusion-reaction model ⋮ Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations ⋮ Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary ⋮ Spreading speed and profile for nonlinear Stefan problems in high space dimensions ⋮ The Freidlin-Gärtner formula for general reaction terms ⋮ Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice ⋮ Sharp large time behaviour in \(N\)-dimensional reaction-diffusion equations of bistable type ⋮ Localized and expanding entire solutions of reaction-diffusion equations ⋮ Reaction-diffusion fronts in funnel-shaped domains

Cites Work

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