Blow up for a nonlinear degenerate parabolic equation
Fila, M., Filo, J.
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Displaying similar documents to “Blow-up versus global existence of solutions to aggregation equations”
Blow up for a nonlinear degenerate parabolic equation
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*.
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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On blowup of a solution to a Sobolev-type equation with a nonlocal source.
Korpusov, M.O., Sveshnikov, A.G. (2005)
Sibirskij Matematicheskij Zhurnal
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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...
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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Growth and accretion of mass in an astrophysical model, II
Piotr Biler, Tadeusz Nadzieja (1995)
Applicationes Mathematicae
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Radially symmetric solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles in a bounded container are studied. Conditions ensuring either global-in-time existence of solutions or their finite time blow up are given.
Existence and uniqueness result for a class of nonlinear parabolic equations with L¹ data
Kaouther Ammar, Jaouad Bennouna, Hicham Redwane (2014)
Applicationes Mathematicae
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We prove the existence and uniqueness of a renormalized solution for a class of nonlinear parabolic equations with no growth assumption on the nonlinearities.
Observations on Blow Up and Dead Cores for Nonlinear Parabolic Equations.
L.A. Peletier, B. Kawohl (1989)
Mathematische Zeitschrift
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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...
Self-similar solutions for a nonlinear degenerate parabolic equation.
Liu, Changchun (2006)
Lobachevskii Journal of Mathematics
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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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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.
Existence of solutions for a model of self-gravitating particles with external potential
Andrzej Raczyński (2004)
Banach Center Publications
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We study the existence of solutions to a nonlinear parabolic equation describing the temporal evolution of a cloud of self-gravitating particles with a given external potential. The initial data are in spaces of (generalized) pseudomeasures. We prove existence of local and global-in-time solutions, and also a kind of stability of global solutions.