Recent progress in the theory of inertial manifolds
Thursday, June 23, 2016 - 2:00pm - 2:50pm
Sergey Zelik (University of Surrey)
We will discuss classical and new results on the existence or non-existence of inertial manifolds (IMs) for semilinear parabolic equation. In particular, we report on the existence of IMs for the 1D reaction-diffusion-advection systems with Dirichlet or Neumann boundary conditions and give the counterexamples for the case of periodic boundary conditions.