Inviscid limits of the compressible Navier-stokes equation to small BV solutions to Euler
Next Wednesday May 03, 2023:
Organized by: FAU DCN-AvH, Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Title: Inviscid limits of the compressible Navier-stokes equation to small BV solutions to Euler
Speaker: Prof. Dr. Alexis Vasseur
Affiliation: University of Texas at Austin (USA)
Abstract. In 1D, small BV solutions to conservation laws were constructed by Glimm in the sixties. The uniqueness theory was developed much later by Bressan and his collaborators in the 00′. In a celebrated paper of 2005, Bianchini and Bressan showed that these solutions could be obtained as inviscid limits with artificial viscosity. in the same paper, they also describe the important open problem, now sometimes called the Bianchini-Bressan conjecture, asking whether this limit holds for physical regularizations as the Navier-Stokes equation.
In this talk, we will present a proof of the Bianchini-Bressan conjecture in the case of the barotropic Navier-Stokes equation. This is a joint work with Geng Chen and Moon-Jin Kang.
Zoom meeting link
Meeting ID: 614 4658 1599 | PIN code: 914397