Eternal solutions to a singular diffusion equation with critical gradient absorption

DOI10.1088/0951-7715/26/12/3169zbMath1295.35165arXiv1201.3196OpenAlexW2093557085MaRDI QIDQ5403451

Philippe Laurençot, Razvan Gabriel Iagar

Publication date: 26 March 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3196

zbMATH Keywords

exponential self-similar solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Growth and boundedness of solutions to ordinary differential equations (34C11) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Quasilinear parabolic equations with (p)-Laplacian (35K92) Self-similar solutions to PDEs (35C06) Axially symmetric solutions to PDEs (35B07)

Related Items (7)

Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption ⋮ Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction ⋮ Large time behavior for a quasilinear diffusion equation with critical gradient absorption ⋮ Eternal solutions in exponential self-similar form for a quasilinear reaction-diffusion equation with critical singular potential ⋮ Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction ⋮ Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids ⋮ Eternal solutions for a reaction-diffusion equation with weighted reaction

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