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Grantor: Czech Science Foundation

**Objectives**:

Partial differential equations in mechanics and thermodynamics of fluids are a mathematical tool which models the time evolution of basic physical quantities. The goal of this project is to study these systems of partial differential equations from the point of view of mathematical and numerical analysis and to compare these results with the properties of their numerical solutions. We will mostly deal with solvability of the problems (existence of solutions for different formulations, possibly their uniqueness), qualitative properties of the solutions, analysis of the adequate numerical methods and numerical solutions of these problems. The proposal of the project assumes a close collaboration of specialists from different branches. Such a collaboration stimulates positively the developement of all participating mathematical disciplines.

Main investigator:

IM team members:

Bodnár Tomáš Caggio Matteo Kalousek Martin Kračmar Stanislav Kreml Ondřej |
Mácha Václav Neustupa Jiří Radoševič Ana Roy Arnab |

Participating institutions:

Institute of Mathematics, Czech Academy of Sciences (**Coordinator**)

Faculty of Mathematics and Physics, Charles University, Prague