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Seminar on partial differential equations

Flows initiated by ripped densities

Piotr B. Mucha
University of Warsaw

 

Tuesday, 5. January 2021 - 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

We address the question: Are solutions to the equations of viscous flows that are initiated by a density function given by a characteristic function of a set regular and unique?  The positive answer is possible for the compressible Navier-Stokes equations if the bulk/volume viscosity is large. The limit case of the homogeneous incompressible NSEs will be discussed too.

The talk will be based on results with Raphael Danchin:
RD, PBM: Compressible NSEs with ripped density, arXiv;
RD, PBM: The incompressible NSEs in vacuum, CPAM2019.