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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.