A quasilinear parabolic system with nonlocal boundary condition.
Chen, Botao, Mi, Yongsheng, Mu, Chunlai (2011)
Boundary Value Problems [electronic only]
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Displaying similar documents to “Uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources.”
A quasilinear parabolic system with nonlocal boundary condition.
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Applied Mathematics E-Notes [electronic only]
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Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary.
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International Journal of Mathematics and Mathematical Sciences
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The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation
Juan Luis Vázquez (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We review the main mathematical questions posed in blow-up problems for reaction-diffusion equations and discuss results of the author and collaborators on the subjects of continuation of solutions after blow-up, existence of transient blow-up solutions (so-called peaking solutions) and avalanche formation as a mechanism of complete blow-up.
The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.
Rossi, J.D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Blowup for degenerate and singular parabolic system with nonlocal source.
Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)
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Blowup properties for a semilinear reaction-diffusion system with nonlinear nonlocal boundary conditions.
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Abstract and Applied Analysis
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Pavol Quittner (2001)
Mathematica Bohemica
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In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global solutions.