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Grantor: Czech Science Foundation (GAČR)

**Objectives**:

Mathematical and numerical analysis and numerical solution of fluid flows belong to the most often studied problems of the theory of partial differential equations and their numerical solution. During the last decades, a big progress has been achieved in these fields which enables us to study models of complex fluids including the possibility to consider their dependence on temperature. This project is focused on the study of such models of fluid thermodynamics and mechanics with the aim to extend the knowledge in the field of the theoretical analysis of the corresponding systems of partial differential equations and numerical analysis of the methods for their solution. Computational simulations using specific numerical methods will be performed to support the analytical results concerning the well-posedness of the model problems and qualitative properties of their solutions. The proposed projects assumes a tight collaboration of specialists in these fields which is an important prerequisite for further development of mathematical and computational fluid thermodynamics.

Main investigator:

IM team members:

Řezníček Hynek Al Baba Hind Bodnár Tomáš Caggio Matteo Kračmar Stanislav |
Kreml Ondřej Mácha Václav Medková Dagmar Neustupa Jiří She Bangwei |

Participating institutions:

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

Faculty of Mathematics and Physics, Charles University