 
 
 

Qualitative properties of radiation magnetohydrodynamics.
Kobera, Marek ; Nečasová, Šárka (advisor) ; Franců, Jan (referee) ; Neustupa, Jiří (referee)
We consider a simplified model based on the NavierStokesFourier system coupled to a transport equation and the Maxwell system, proposed to describe radiative flows in stars. We establish global intime existence for the associated initialboundary value problem in the framework of weak solutions. Next, we study a hydrodynamical model describing the motion of internal stellar layers based on compressible NavierStokesFourierPoisson system. We suppose that the medium is electrically charged, we include energy exchanges through radiative transfer and we assume that the system is steadily rotating. We analyze the singular limit of this system when the Mach number, the Alfven number, the Peclet number and the Froude number go to zero in a certain way and prove convergence to a 3D incompressible MHD system with a stationary linear transport equation for transport of radiation intensity. Finally, we show that the energy equation reduces to a steady equation for the temperature corrector.


Recent results on the problem of motion of viscous fluid around a rotating rigid body
Deuring, P. ; Kračmar, Stanislav ; Nečasová, Šárka
We consider the linearized incompressible flow around rotating and translating body in the exterior domain R³D‾, where D⊂R³ is open and bounded, with Lipschitz boundary. We derive the pointwise estimates for the pressure. Further, we consider the linearized problem in a truncation domain DR:=BRD‾ of the exterior domain R³D‾ under certain artificial boundary conditions on the truncating boundary ∂BR, and then compare this solution with the solution in the exterior domain R³D‾ to get the truncation error estimate.


Note on the problem of compressible nonNewtonian fluids
Caggio, M. ; Nečasová, Šárka
The aim of the paper is to consider the compressible nonNewtonian fluids of power law type when the viscosity coeffcients depend not only on invariants of velocity field but also on the density. We introduce approximation scheme using model of multipolar fluids. After then passing with higher viscosity to zero we get the measure valued solution of the problem.


Qualitative properties of radiation magnetohydrodynamics.
Kobera, Marek ; Nečasová, Šárka (advisor) ; Franců, Jan (referee) ; Neustupa, Jiří (referee)
We consider a simplified model based on the NavierStokesFourier system coupled to a transport equation and the Maxwell system, proposed to describe radiative flows in stars. We establish global intime existence for the associated initialboundary value problem in the framework of weak solutions. Next, we study a hydrodynamical model describing the motion of internal stellar layers based on compressible NavierStokesFourierPoisson system. We suppose that the medium is electrically charged, we include energy exchanges through radiative transfer and we assume that the system is steadily rotating. We analyze the singular limit of this system when the Mach number, the Alfven number, the Peclet number and the Froude number go to zero in a certain way and prove convergence to a 3D incompressible MHD system with a stationary linear transport equation for transport of radiation intensity. Finally, we show that the energy equation reduces to a steady equation for the temperature corrector.

 

Valuation of Exterier Beton, s.r.o.
Nečasová, Šárka ; Jandásek, Radek (referee) ; Zinecker, Marek (advisor)
Goal of this Diploma thesis is determination of the value of Exterier Beton, s.r.o. company on the methods based of discounted cash flow. Theoretical part is focused on primary definitions, definition of value and the reasons why to carry out of valuation. There are also mentioned parts of valuation method and specification process during valuation in diploma thesis. The practical part deals with the characteristics of the company, strategic analysis, evaluation of the financial health of the company, setting up of financial plan and application of selected methods of valuation.

 