. "V projektu bylo dosa\u017Eeno kvalitn\u00EDch v\u00FDsledk\u016F v teorii parci\u00E1ln\u00EDch diferenci\u00E1ln\u00EDch rovnic, kter\u00E9 modeluj\u00ED proud\u011Bn\u00ED v nestla\u010Diteln\u00FD i stla\u010Diteln\u00FDch tekutin\u00E1ch. Pokrok ve v\u00FDzkumu byl dosa\u017Een v teoretick\u00E9 i numerick\u00E9 \u010D\u00E1sti projektu. Jako v\u00FDstupy projektu byly vytvo\u0159eny kvalitn\u00ED publikace a prezentace na konferenc\u00EDch. Ze spoluautorstv\u00ED sepsan\u00FDch \u010Dl\u00E1nk\u016F je vid\u011Bt v\u00FDznamn\u00E1 mezin\u00E1rodn\u00ED spolupr\u00E1ce."@cs . "1"^^ . . . . . "2"^^ . . . "2011-01-01+01:00"^^ . . . "Flow of fluids in domains with variable geometry"@en . . . "0"^^ . . "Proud\u011Bn\u00ED tekutin v oblastech s m\u011Bn\u00EDc\u00ED se geometri\u00ED" . "2014-07-01+02:00"^^ . . . . "http://www.isvav.cz/projectDetail.do?rowId=GAP201/11/1304"^^ . . "45"^^ . "C\u00EDlem projektu je z\u00EDskat nov\u00E9 v\u00FDsledky t\u00FDkaj\u00EDc\u00ED se proud\u011Bn\u00ED v oblastech s m\u011Bn\u00EDc\u00ED se geometri\u00ED. Z pohledu teoretick\u00E9 anal\u00FDzy budeme uva\u017Eovat jednak proud\u011Bn\u00ED tekutin (nestla\u010Diteln\u00FDch i stla\u010Diteln\u00FDch) kolem rotuj\u00EDc\u00EDho t\u011Blesa (existence slab\u00E9ho \u010Di velmi slab\u00E9ho \u0159e\u0161en\u00ED, asymptotick\u00E9 chov\u00E1n\u00ED \u0159e\u0161en\u00ED, um\u011Bl\u00E9 okrajov\u00E9 podm\u00EDnky) v p\u0159\u00EDpad\u011B, \u017Ee osa rotace t\u011Blesa a rychlost tekutiny v nekone\u010Dnu jsou rovnob\u011B\u017En\u00E9, tak i v p\u0159\u00EDpad\u011B, \u017Ee osa rotace t\u011Blesa a rychlost v nekone\u010Dnu rovnob\u011B\u017En\u00E9 nejsou. Budeme t\u00E9\u017E studovat souvisej\u00EDc\u00ED hydrodynamickou potenci\u00E1ln\u00ED teorii. D\u00E1le budeme vy\u0161et\u0159ovat p\u0159\u00EDpad pohybuj\u00EDc\u00EDch se pevn\u00FDch t\u011Bles ve vazk\u00FDch tekutin\u00E1ch (p\u0159edev\u0161\u00EDm nenewtonovsk\u00FDch nestla\u010Diteln\u00FDch a newtonovsk\u00FDch stla\u010Diteln\u00FDch), v n\u011Bkter\u00FDch p\u0159\u00EDpadech budeme zahrnovat i p\u0159\u00EDpadn\u00E9 zm\u011Bny teploty. \u010C\u00E1st v\u00FD\u0161e uveden\u00FDch probl\u00E9m\u016F budeme tak\u00E9 \u0159e\u0161it numericky. D\u00E1le bude provedena numerick\u00E1 simulace proud\u011Bn\u00ED v oblastech s komplikovanou geometri\u00ED odpov\u00EDdaj\u00EDc\u00ED proud\u011Bn\u00ED krve ve zdrav\u00FDch c\u00E9v\u00E1ch a v p\u0159\u00EDpadech kardiovaskul\u00E1rn\u00EDch onemocn\u011Bn\u00ED." . . "The goal of the projectis to get new relevant results concerning flow in domains with varying geometry. From the viewpoint of theoretical analysis, we will deal with flow of fluids (incompressible and compressible) around a rotating body (existence of weak or very weak solutions, asymptotic behaviour of solutions, artificial boundary conditions) in case that the axis of rotation of the body and the velocity at infinity are parallel or not parallel. We will also investigate the related hydrodynamical potential theory. Moreover, we will investigate the case of motion of rigid bodies in viscous fluids (mostly non-Newtonian incompressible and newtonian compressible), in several cases we include the changes of temperature. Part of the problems mentioned above will be solved numerically. Finally, we perform the numerical simulation of flow of fluids in domains with complicated geometry corresponding to the flow of blood in healthy veins as well as in cases of cardiovascular diseases."@en . "The team obtained quality results in the theory of partial differential equations, which model the motion in an incompressible and compressible fluid. The results concern both theoretical and practical part of the project. As the outcome the members produced scientific publications and presentations at the conferences. The co-authorship in the publications shows a strong international cooperation."@en . . "45"^^ . "Navier-Stokes equtions rotating body motion of several rigid bodies viscous fluids domains with varying geometry numerical solution"@en . . "2013-06-12+02:00"^^ . "GAP201/11/1304" . "2013-12-31+01:00"^^ .