Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity

DOI10.3792/pjaa.96.001zbMath1437.35142OpenAlexW2998051431MaRDI QIDQ1988503

Yu Ichida, Takashi Okuda

Publication date: 23 April 2020

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1577264416

zbMATH Keywords

Poincaré compactification

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)

Related Items (9)

On global behavior of a some SIR epidemic model based on the Poincaré compactification ⋮ Radially symmetric stationary solutions for a MEMS type reaction–diffusion equation with fringing field ⋮ Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: a geometric approach ⋮ Geometric approach to the bifurcation at infinity: a case study ⋮ Unnamed Item ⋮ Traveling wave solutions for degenerate nonlinear parabolic equations ⋮ Radial symmetric stationary solutions for a MEMS type reaction-diffusion equation with spatially dependent nonlinearity ⋮ Stationary solutions for a 1D PDE problem with gradient term and negative powers nonlinearity ⋮ Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations

Cites Work

• Multiple time scale dynamics
• Applications of centre manifold theory
• Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs
• Qualitative theory of planar differential systems
• On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications

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