Title：Global solutions for the Cauchy problem of 2D compressible Navier-Stokes equations with energy equality

Speaaker：Liang Zhilei, Southwestern University of Finance and Economics

Date：14:00-15:00 2026-3-10 (Tuesday)

Venue：Room 617,Building 56, Shouxihu Campus

Abstract：This paper concerns the Cauchy problem of two dimensional(2D) compressible Navier-Stokes equations. Assume that the initial density belongs to L∞(R2)and the gradient of the initial velocity is in L2(R2), we prove that the solution exists globally defined and conserves the energy equality for all positive time, in the case of the bulk viscosity coefficient is large enough. We use weighted initial density to mend the failure of Sobolev embedding in critical space. The initial interior vacuum initial is allowed and the density can be torn and disappear fast at infinity.

Organizer：School of Mathematics

Students and teachers are welcome.