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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Displaying similar documents to “Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions”
The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition.
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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*.
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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.
Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source
Yuya Tanaka (2023)
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This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.