Mathematical theory and numerical analysis for equations of viscous newtonian compressible fluids
Description: Equations of compressible viscous fluids are important models in many applications. We will study the corresponding systems of partial differential equations from several points of view: existence theory and qualitative properties of solutions for different choices of boundary conditions (including open system), different types of domains (in particular varying in time), different types of solutions (weak, strong, dissipative) and different simplified models (in particular, compressible primitive equations) as well as from the point of view of numerical mathematics (construction of benchmarks, numerical analysis of some methods, comparision of different numerical methods). The proposal of the project is based on a close collaboration of specialists from different mathematical disciplines.
Amount: CZK 10,480,000
Funding type: grant
Funder scheme: Standard Projects
Start date: 2022-01-01
End date: 2024-12-31
Institution: Matematický ústav AV ČR, v. v. i.
Funded outputs count: 66
Funder award ID: GA22-01591S
OpenAlex ID: G191069342