Matematik Semineri

We will host Dr. Dmitry Vorotnikov from University of Coimbra, Portugal, at OzU next week. He is going to give a talk on 5th June, Wednesday, at 11 am.

You are all invited (in fact expected!!).

Title: Weak solutions and generalized attractors for coupled PDEs of Navier-Stokes-Keller-Segel type

Abstract: We consider the initial-boundary value problem for the coupled Navier-Stokes-Keller-Segel-Fisher-Kolmogorov-Petrovskii-Piskunov system in two- and three-dimensional domains. The problem describes oxytaxis and growth of Bacillus subtilis in moving water. We prove existence of global weak solutions to the problem, study the long-time behaviour of the problem, find dissipative estimates, and construct trajectory and global attractors.