Simultaneous versus nonsimultaneous blowup for a system of heat equations coupled boundary flux.
Fan, Mingshu, Du, Lili (2007)
Boundary Value Problems [electronic only]
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Displaying similar documents to “The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.”
Simultaneous versus nonsimultaneous blowup for a system of heat equations coupled boundary flux.
Non-simultaneous blow-up for a reaction-diffusion system with absorption and coupled boundary flux.
Zhou, Jun, Mu, Chunlai (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Blow up for a nonlinear degenerate parabolic equation
Fila, M., Filo, J.
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On blow-up at space infinity for semilinear heat equations
Giga, Y., Umeda, N.
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Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions
Youpeng Chen, Baozhu Zheng (2015)
Annales Polonici Mathematici
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This paper deals with the blow-up properties of positive solutions to a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions. Under certain conditions, criteria of global existence and finite time blow-up are established. Furthermore, when q=1, the global blow-up behavior and the uniform blow-up profile of the blow-up solution are described; we find that the blow-up set is the whole domain [0,a], including the boundary, in contrast to the case of...
A quasilinear parabolic system with nonlocal boundary condition.
Chen, Botao, Mi, Yongsheng, Mu, Chunlai (2011)
Boundary Value Problems [electronic only]
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Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients
Marras, M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35K55, 35K60. We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients. We derive sufficient conditions on the nonlinearities and the initial data in order to obtain explicit lower and upper bounds for the blow up time t*.