Special Session 3: Analysis of diffuse and sharp interface models

Finite-dimensional attractors to 2D NSE-Allen-Cahn equations with irregular potentials
Dalibor Prazak
Charles University, Faculty of Mathematics and Physics
Czech Rep
Co-Author(s):    
Abstract:
We consider 2D Navier-Stokes system coupled to Allen-Cahn equation with irregular potentials. This leads to a differential inclusion with maximal monotone term. Existence of finite-dimensional attractor is shown using the method of l-trajectories, where the key step is an L^1-estimate of the difference of discontinuous terms.