Chemotaxis models with a threshold cell density

• Autorzy: Dariusz Wrzosek
• Języki publikacji: EN

Abstrakty

EN

We consider a quasilinear parabolic system which has the structure of Patlak-Keller-Segel model of chemotaxis and contains a class of models with degenerate diffusion. A cell population is described in terms of volume fraction or density. In the latter case, it is assumed that there is a threshold value which the density of cells cannot exceed. Existence and uniqueness of solutions to the corresponding initial-boundary value problem and existence of space inhomogeneous stationary solutions are discussed. In the 1D case a classification of stationary solutions for some model example is provided.

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 35K55: Nonlinear parabolic equations
• 34C25: Periodic solutions
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 553-566

Daty

wydano

2008

Twórcy

autor

Dariusz Wrzosek

• Institute of Applied Mathematics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc81-0-35