Sciex Postdoctoral Fellowship for Ondřej Kreml at University of Zurich (Host institution).
Objectives:
Ondřej Kreml will study the results of Camillo De Lellis and László Székelyhidi about ill-posedness of bounded weak solutions for the incompressible Euler equations and bounded admissible solutions for the compressible isentropic Euler system in multiple space dimensions. The objectives of the project are to generalize the ill-posedness results for compressible isentropic Euler system and to study the Riemann problem for this system. Another objective is to modify the method of De Lellis and Székelyhidi to be applicable in other systems of partial differential equations describing inviscid fluid flows.
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