Global existence of solutions for a strongly coupled population system

• Autorzy: Gonzalo Galiano , Ansgar Jüngel
• Języki publikacji: EN

Abstrakty

EN

A strongly coupled cross-diffusion model for two competing species in a heterogeneous environment is analyzed. We sketch the proof of an existence result for the evolution problem with non-flux boundary conditions in one space dimension, completing previous results [4]. The proof is based on a symmetrization of the problem via an exponential transformation of variables and the use of an entropy functional.

Kategorie tematyczne

• 65N40: Method of lines
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 63
• Numer: 1
• Strony: 209-216

Daty

wydano

2003

Twórcy

autor

Gonzalo Galiano

• Departamento de Matemáticas, Universidad de Oviedo, 33007 Oviedo, Spain

autor

Ansgar Jüngel

• Fachbereich Mathematik und Statistik, Universität Konstanz, 78457 Konstanz, Germany

Identyfikatory

DOI

10.4064/bc63-0-9