On the motion of rigid bodies in a compressible viscous fluid under the action of gravitational forces

summary:The global existence of weak solution is proved for the problem of the motion of several rigid bodies in a barotropic compressible fluid, under the influence of gravitational forces

Shape Optimization of hemolysis for shear thinning flows in moving domains

We consider the $3$D problem of hemolysis minimization in blood flows, namely the minimization of red blood cells damage, through the shape optimization of moving domains. Such a geometry is adopted to take into account the modeling of rotating systems and blood pumps. The blood flow is described by generalized Navier-Stokes equations, in the particular case of shear thinning flows. The velocity and stress fields are then used as data for a transport equation governing the hemolysis index, aimed to measure the red blood cells damage rate. For a sequence of converging moving domains, we show that a sequence of associated solutions to blood equations converges to a solution of the problem written on the limit moving domain. Thus, we extended the result given in (Soko\l{}owski, Stebel, 2014, in \textit{Evol. Eq. Control Theory}) for $q \geq 11/5$, to the range $6/5< q < 11/5$, where $q$ is the exponent of the rheological law. We then show that the sequence of hemolysis index solutions also converges to the limit solution. This shape continuity properties allows us to show the existence of minimal shapes for a class of functionals depending on the hemolysis index

Valuation of Exterier Beton, s.r.o.

Cílem této diplomové práce je stanovení hodnoty podniku Exterier Beton, s.r.o. na základě metod založených na diskontovaném peněžním toku. Teoretická část práce je zaměřena na vymezení základních pojmů, definici hodnoty a na důvody oceňování. Součástí teoretických východisek je rovněž rozdělení metod oceňování a specifikace postupu při oceňování podniku. Praktická část diplomové práce se zabývá charakteristikou společnosti, strategickou analýzou, zhodnocením finančního zdraví podniku, sestavením návrhu finančního plánu a aplikací vybraných metod oceňování.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.