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Grant GJ17-01694Y     1.1.2017 - 31.12.2019
Grantor: Czech Science Foundation

Mathematical analysis of partial differential equations describing inviscid flows


The investigator and his team will develop the theory of Camillo De Lellis and Lászlo Székelyhidi which allows to prove surprising results for incompressible Euler equations in multiple space dimensions. They will focus mainly on development and applications of the theory in the field of compressible flow, both in the isentropic case and in the case of full system of partial differential equations. They will study and propose criteria to choose "physical" solutions among the infinitely many weak solutions of appropriate systems of equations. The investigator and his team will maintain already established scientific cooperations (De Lellis, Chiodaroli, Wiedemann) and establish new ones. The results of the project will be presented on international conferences and will be published as articles in impacted journals.

 Main investigator:

Kreml Ondřej

 IM team members:  
Al Baba Hind
Mácha Václav
 Participating institutions:

Institute of Mathematics, Czech Academy of Sciences, Coordinator