Special Session 157: Advances in PDE-Based and Data-Driven Approaches for Applied Sciences

Enhanced dissipation and applications to non-linear PDEs
Anna L Mazzucato
Penn State University
USA
Co-Author(s):    
Abstract:
I will discuss recent results concerning enhanced dissipation in drift-diffusion equations by the action of the drift. If time permits I will then give an application to global existence for the 2D Kuramoto-Sivashinsky equation, a model of front propagation in combustion. Enhanced dissipation has applications in speeding up Langevin dynamics and MCMC methods.