FUJITA CRITICAL CURVE FOR A COUPLED DIFFUSION SYSTEM WITH INHOMOGENEOUS NEUMANN BOUNDARY CONDITIONS∗

DOI10.3846/13926292.2016.1150904zbMath1488.35318OpenAlexW2303815865MaRDI QIDQ5011618

Runmei Du, Minghao Guo

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2016.1150904

zbMATH Keywords

blow-upglobal existencediffusion equationsinhomogeneous termFujita critical curve

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Cites Work

• Fujita phenomenon in inhomogeneous fast diffusion system
• Global and nonglobal weak solutions to a degenerate parabolic system
• The critical exponents for the quasi-linear parabolic equations with inhomogeneous terms
• Critical exponents for a nonlinear diffusion system
• Existence and non-existence of global solutions for a semilinear heat equation
• Boundedness and blow up for a semilinear reaction-diffusion system
• Diffraction problems for quasilinear reaction--diffusion systems.
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• An asymptotic analysis of a self-similar solution for the double nonlinear reaction-diffusion system
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Unnamed Item