National Repository of Grey Literature 5 records found  Search took 0.01 seconds. 
Existence and Qualitative Properties of Solutions to Certain Systems of Fluid Mechanics
Mácha, Václav
anglicky In the presented work, we study the existence and uniqueness of solutions to the generalized Stokes problem. We, further, focus on the higher differentiability and the Hölder continuity of solutions to the generalized Stokes and generalized Navier-Stokes system. We reach the full regularity in an arbitrary dimension for a linear case, while in a nonlinear case we work only in dimensions d = 2, 3. In dimension d = 2 we are able to proof the full regularity of solution, in dimension d = 3 we obtain only a partial regularity. All main results are introduced in the first section. 1
Existence and Qualitative Properties of Solutions to Certain Systems of Fluid Mechanics
Mácha, Václav ; Stará, Jana (advisor) ; Pražák, Dalibor (referee) ; Skalák, Zdeněk (referee)
anglicky In the presented work, we study the existence and uniqueness of solutions to the generalized Stokes problem. We, further, focus on the higher differentiability and the Hölder continuity of solutions to the generalized Stokes and generalized Navier-Stokes system. We reach the full regularity in an arbitrary dimension for a linear case, while in a nonlinear case we work only in dimensions d = 2, 3. In dimension d = 2 we are able to proof the full regularity of solution, in dimension d = 3 we obtain only a partial regularity. All main results are introduced in the first section. 1
Existence and Qualitative Properties of Solutions to Certain Systems of Fluid Mechanics
Mácha, Václav
anglicky In the presented work, we study the existence and uniqueness of solutions to the generalized Stokes problem. We, further, focus on the higher differentiability and the Hölder continuity of solutions to the generalized Stokes and generalized Navier-Stokes system. We reach the full regularity in an arbitrary dimension for a linear case, while in a nonlinear case we work only in dimensions d = 2, 3. In dimension d = 2 we are able to proof the full regularity of solution, in dimension d = 3 we obtain only a partial regularity. All main results are introduced in the first section. 1
Analytical solution of rotationally symmetric Stokes flow near corners
Burda, P. ; Novotný, Jaroslav ; Šístek, Jakub
We present analytical solution of the Stokes problem in rotationally symmetric domains. This is then used to find the asymptotic behaviour of the solution in the vicinity of corners, also for Navier-Stokes equations. We apply this to construct very precise numerical finite element solution.
Některé poznámky o asymptotickém chování volného pádu tělesa ve vazkých tekutinách
Nečasová, Šárka
The article deals with the motion of a rigid body through a liqvid. We consider Stokes, Oseen and Navier-Stokes fluid. We investigate the exterior domain in3D case. The rotational motion is included in the consideration.

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