Display Abstract

Title Well-posedness of an Euler-like scalar model and nonlocal maximum principle

Name Roman Shvydkoy
Country USA
Email shvydkoy@uic.edu
Co-Author(s) F. Vigneron, C. Imbert
Submit Time 2014-02-26 15:53:56
Session
Special Session 11: Dynamics of fluids and nonlinear waves
Contents
We study a conservative scalar model that shares many similar properties with the classical Euler equation (energy conservation, structure of the nonlinearity). In the viscous case it has been proposed as a model for the Navier-Stokes system. We show that the inviscid model is globally well-posed for positive initial data using the nonlocal maximum principle developed recently by Constantin and Vicol in the context of the critical SQG.