Seminar on partial differential equations
Global existence of weak solutions to the quantum Navier-Stokes equations
Tong Tang
Hohai University, Nanjing
Tuesday, 8. December 2020 - 9:00 to 10:00
The lecture will be delivered on Zoom (only). The link to the seminar is:
https://cesnet.zoom.us/j/98914987846?pwd=YU9TZnRZdHV4NnhDVUpoZEgwZGtCdz09
Meeting ID: 989 1498 7846
Passcode: 889147
In this talk, we proved the global existence of weak solutions to the quantum Navier-Stokes equations with non-monotone pressure. Motivated by the work of Antonell-Spirito (2017, Arch. Ration. Mech. Anal., 1161-1199) and Ducomet-Necasova-Vasseur (2010, Z. Angew. Math. Phys., 479-491), we construct the suitable approximate system and obtain the corresponding compactness by B-D entropy estimate and Mellet-Vasseur inequality.