Global existence versus blow up for some models of interacting particles

• Autorzy: Piotr Biler , Lorenzo Brandolese
• Języki publikacji: EN

Abstrakty

EN

We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst-Planck and Debye-Hückel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and oscillating complex-valued initial data, using a method due to S. Montgomery-Smith.

Kategorie tematyczne

• 82C21: Dynamic continuum models (systems of particles, etc.)
• 35K60: Nonlinear initial value problems for linear parabolic equations
• 35B40: Asymptotic behavior of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 106
• Numer: 2
• Strony: 293-303

Daty

wydano

2006

Twórcy

autor

Piotr Biler

• Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Lorenzo Brandolese

• Institut Camille Jordan, Université Claude Bernard-Lyon 1, 21 avenue Claude Bernard, 69622 Villeurbanne Cedex, France

Identyfikatory

DOI

10.4064/cm106-2-9