The aim of the present research project is to establish a coherent mathematical theory of viscous heat conducting fluids based on a suitable variational formulation of the problem consistent with the second law of thermodynamics. The main topics include: 1. The existence of solutions on arbitrarily large time intervals with no restriction on the size of data. 2. The questions of uniqueness, boundedness, and stability of solutions with respect to the initial conditions and other parameters as the case may be. 3. The long time behavior, convergence towards equilibria, and attractors. 4. Sensitivity analysis with respect to the shape of the underlying spatial domain.
IM leaders:
Participating institutions:
Institute of Mathematics, AS CR,
Mathematical Institute of Charles University, Prague , MU UK
IM team members:
|
Petzeltová Hana Pokorný Milan |
Pražák Dalibor Straškraba Ivan |
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