Asymptotic Behavior of a Nonlocal Diffusive Logistic Equation
Language
en
Article de revue
This item was published in
SIAM Journal on Mathematical Analysis. 2014, vol. 46, n° 3, p. 1731-1753
Society for Industrial and Applied Mathematics
English Abstract
The long time behavior of a logistic-type equation modeling the motion of cells is investigated. The equation we consider takes into account birth and death processes using a simple logistic effect as well as a nonlocal ...Read more >
The long time behavior of a logistic-type equation modeling the motion of cells is investigated. The equation we consider takes into account birth and death processes using a simple logistic effect as well as a nonlocal motion of cells using a nonlocal Darcy's law with regular kernel. Using the periodic framework we first investigate the well-posedness of the problem before deriving some information about its long time behavior. The lack of asymptotic compactness of the system is overcome by making use of the Young measure theory. This allows us to conclude that the semiflow converges for the Young measure topology.Read less <
Origin
Hal imported