DMS Applied and Computational Mathematics Seminar

Title: Global existence  and asymptotic behavior of classical solutions of chemotaxis systems with logistic source and consumption on \(R^n \).

Abstract: The current talk is concerned with the global existence and asymptotic behavior of classical solutions of chemotaxis systems with logistic source and consumption on the whole space \(R^n\). We will first consider the global existence of positive classical solutions. We then discuss the asymptotic behavior of solutions with strictly positive initials,  and the effect of chemotaxis on the rate of spread of the mobile species when the initial have compact support.