Stability properties of spatially periodic solutions for nonlinear diffusion equations with a singular integral term

DOI10.1007/BF03167755zbMath0641.35032OpenAlexW2019794884MaRDI QIDQ3782126

Junkichi Satsuma, Masayasu Mimura

Publication date: 1987

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167755

zbMATH Keywords

aggregationperiodic solutionssingular integrallinearizationpattern formationperturbationsexact solutionsStabilitysteady statenonlinear diffusionperiodic wavesneutrally stablen-pulse solutionssingle pulsespatially distributing populations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

A new perturbative technique for solving integro-partial differential equations

Cites Work

• Liquid Instability and Freezing –Reductive Perturbation Approach–
• Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics

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