Events for 04/03/2018 from all calendars

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Jiahong Wu, Oklahoma State University

Title: Nonlinear PDEs seminar

Abstract:

Title: The magnetohydrodynamic equations with partial or fractional dissipation

Abstract:
The magnetohydrodynamic (MHD) equations govern the motion of electrically conducting fluids such as plasmas, liquid metals, and electrolytes. They consist of a coupled system of the Navier-Stokes equations of fluid dynamics and Maxwell's equations of electromagnetism. Besides their wide physical applicability, the MHD equations are also of great interest in mathematics. In the last few years there have been substantial developments on the global regularity problem concerning the MHD equations, especially when there is only partial or fractional dissipation. The talk presents recent results on the global well-posedness and stability problem for the MHD equations with various partial or fractional dissipation.