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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Displaying similar documents to “On blowup of a solution to a Sobolev-type equation with a nonlocal source.”
Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.
Blowup of solutions for evolution equations with nonlinear damping.
Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Blow-up versus global existence of solutions to aggregation equations
Grzegorz Karch, Kanako Suzuki (2011)
Applicationes Mathematicae
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A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.
Blow up for a nonlinear degenerate parabolic equation
Fila, M., Filo, J.
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Some applications of parabolic comparison principles to the study of decay estimates.
Danet, C.-P. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Recent results and open problems on parabolic equations with gradient nonlinearities.
Souplet, Philippe (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Global existence and nonexistence for semiliniear parabolic systems with nonlinear boundary conditions.
Joachim Escher (1989)
Mathematische Annalen
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Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
Changchun Liu (2013)
Annales Polonici Mathematici
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We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
Integro-differential systems with variable exponents of nonlinearity
Oleh Buhrii, Nataliya Buhrii (2017)
Open Mathematics
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Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
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...