The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations

Alkis S Tersenov

Displaying similar documents to “The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations”

Instantaneous shrinking of the support for solutions to certain parabolic equations and systems

Anatolii S. Kalashnikov (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The paper contains conditions ensuring instantaneous shrinking of the support for solutions to semilinear parabolic equations with compactly supported coefficients of nonlinear terms and reaction-diffusion systems.

Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.

Zhou, Jun (2007)

Surveys in Mathematics and its Applications

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Non-simultaneous blow-up for a reaction-diffusion system with absorption and coupled boundary flux.

Zhou, Jun, Mu, Chunlai (2010)

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Fila, M., Filo, J.

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On the global attractors for a class of semilinear degenerate parabolic equations

Cung The Anh, Nguyen Dinh Binh, Le Thi Thuy (2010)

Annales Polonici Mathematici

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We prove the existence and upper semicontinuity with respect to the nonlinearity and the diffusion coefficient of global attractors for a class of semilinear degenerate parabolic equations in an arbitrary domain.

Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients

Marras, M. (2011)

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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*.

A quasilinear parabolic system with nonlocal boundary condition.

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Transition from decay to blow-up in a parabolic system.

Quittner, Pavol (1998)

Archivum Mathematicum

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Boundary behaviour in strongly degenerate parabolic equations.

Winkler, M. (2003)

Acta Mathematica Universitatis Comenianae. New Series

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Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source

Ji Liu, Jia-Shan Zheng (2015)

Czechoslovak Mathematical Journal

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We study a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, under homogeneous Neumann boundary conditions in a smooth bounded domain. By establishing proper a priori estimates we prove that, with both the diffusion function and the chemotaxis sensitivity function being positive, the corresponding initial boundary value problem admits a unique global classical solution which is uniformly bounded. The result of this paper is a generalization of that of...