ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM

DOI10.1142/S0219199701000408zbMath0989.35031OpenAlexW2107075703MaRDI QIDQ2764513

Slim Tayachi, Seifeddine Snoussi

Publication date: 8 August 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199701000408

zbMATH Keywords

nonlinear heat equationsmall initial dataasymptotic spatial profileglobally decaying mild solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)

Related Items (9)

Universal bounds and blow-up estimates for a reaction-diffusion system ⋮ ASYMPTOTICALLY SELF-SIMILAR GLOBAL SOLUTIONS OF A DAMPED WAVE EQUATION ⋮ Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms ⋮ Different asymptotic behavior of global solutions for a parabolic system with nonlinear gradient terms ⋮ Global existence and asymptotic properties of the solution to a two-species chemotaxis system ⋮ Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel ⋮ Large time behavior of solutions for a complex-valued quadratic heat equation ⋮ Asymptotically self-similar global solutions for Hardy-Hénon parabolic systems ⋮ On the critical exponent for some semilinear reaction-diffusion systems on general domains

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