A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis.

Kuiper, Hendrik J.

Displaying similar documents to “A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis.”

An $L^{p}$ -approach for the study of degenerate parabolic equations.

Labbas, Rabah, Medeghri, Ahmed, Sadallah, Boubaker-Khaled (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Blowup and life span bounds for a reaction-diffusion equation with a time-dependent generator.

Kolkovska, Ekaterina T.;Lopez-Mimbela, Jose Alfredo, Perez, Aroldo (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Qualitative properties of solutions to semilinear heat equations with singular initial data.

Li, Junjie (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

Blow-up rate for parabolic problems with nonlocal source and boundary flux.

Rougirel, Arnaud (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Similarity:

A class of nonlocal parabolic problems occurring in statistical mechanics

Piotr Biler, Tadeusz Nadzieja (1993)

Colloquium Mathematicae

Similarity:

We consider parabolic equations with nonlocal coefficients obtained from the Vlasov-Fokker-Planck equations with potentials. This class of equations includes the classical Debye system from electrochemistry as well as an evolution model of self-attracting clusters under friction and fluctuations. The local in time existence of solutions to these equations (with no-flux boundary conditions) and properties of stationary solutions are studied.