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  • The project deals with the study of selected qualitative properties (especially existence and uniqueness) of solution of partial diferential equations describing the flow of viscous incompressible fluid through a cascade of profiles. We will consider various boundary conditions on the boundary of the domain, with stress on the boundary condition on the outflow. (Here we have in mind the extension and generalization of results of the disertation thesis. We will especially pay the attention to an arbitrarily large velocity profile on the inflow in the stationary case.) The next goal of the project is to create an appropriate numerical model (based on the finite element method), to make its analysis and to create a computer program for solution of the flow through the cascade of profiles. (en)
  • 1. Matematický model proudění profilovou mříží. Obzvláště problém okrajových podmínek a s ním související problém existence slabého řešení. 2. Vytvoření numerického modelu a programu k výpočtu proudění profilovou mříží. (cs)
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  • Matematická analýza a numerické řešení proudění profilovou mříží (cs)
  • Matematical analysis and numerical solution of the flow through cascade of profiles (en)
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  • Navierovy-Stokesovy rovnice; do-nothing okrajové podmínky; profilová mříž (en)
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