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Mortality in the czech countries in the years 1920-1937 with emphasis on selected infectious diseases
Skalák, Zdeněk ; Fialová, Ludmila (advisor) ; Kurtinová, Olga (referee)
Mortality in the Czech countries in the years 1920-1937 with emphasis on selected infectious diseases Abstract The aim of this work is to analyze mortality rates in the czech countries in the years 1920-1937. We focus on a group of infectious diseases that had in this period in terms of cause of death still a high proportion. The rate of mortality due to infectious diseases is dependent on many aspects, such as the correct detection of the disease, effective vaccines and the level of medicine. It is these causes that brought about the sharp decline in mortality due to infectious diseases in the late 19th century. Hovewer, the First World War interupted this permanent decline and the newly created Czechoslovak state had to deal with relatively high mortality due to these diseases. The inter-war period saw recurrent epidemies of infectious deseases, nevertheless until the Second World War we can see the change in mortality due to causes. The infectious diseases are gradually replaced by modern diseases, especially cancers and diseases of the circulatory system. Key words: mortality, causes of death, infectious diseases, decomposition, classification of causes of death, medical discoveries, the level of health
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Mathematical Analysis of Models for Viscoelastic Fluids
Kreml, Ondřej ; Pokorný, Milan (advisor) ; Skalák, Zdeněk (referee) ; Neustupa, Jiří (referee)
1 Title: Mathematical analysis of models for viscoelastic fluids Author: Ondřej Kreml Department: Mathematical Institute of Charles University Supervisor: Doc. Mgr. Milan Pokorný, Ph.D. Abstract: We consider several problems in the thesis. First we summarize key ideas of fluid mechanics theory and introduce several models describ- ing nonnewtonian behaviour of fluids. In the second chapter we prove local existence of solutions to the Oldroyd-type system achieved as a limit case with infinite relaxation and retardation times. We work with three types of boundary conditions, namely homogenous Dirichlet and periodic conditions and whole space, in 2D and 3D. We study also related system of PDE's which is equivalent to the Oldroyd-type system in 2D. In the third chapter we prove local existence of solutions to the system of PDE's describing the flow of a polymeric liquid. The polymer molecules are modeled as elastic dumbbells with spring force having the so-called FENE potential. Arising system con- sists of Navier-Stokes equations coupled with Fokker-Planck equation. In the fourth chapter we study asymptotic behaviour of solutions to equations desribing steady flow of a second grade fluid past an obstacle in three dimen- sions with prescribed nonzero velocity at infinity. Key point in the proof is using results of...
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Evolutionary differential equations in unbounded domains
Slavík, Jakub ; Pražák, Dalibor (advisor) ; Miranville, Alain (referee) ; Skalák, Zdeněk (referee)
We study asymptotic properties of evolution partial differential equations posed in unbounded spatial domain in the context of locally uniform spaces. This context allows the use of non-integrable data and carries an inherent non-compactness and non-separability. We establish the existence of a lo- cally compact attractor for non-local parabolic equation and weakly damped semilinear wave equation and provide an upper bound on the Kolmogorov's ε-entropy of these attractors and the attractor of strongly damped wave equation in the subcritical case using the method of trajectories. Finally we also investigate infinite dimensional exponential attractors of nonlinear reaction-diffusion equation in its natural energy setting. 1
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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
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Mortality in the czech countries in the years 1920-1937 with emphasis on selected infectious diseases
Skalák, Zdeněk ; Fialová, Ludmila (advisor) ; Kurtinová, Olga (referee)
Mortality in the Czech countries in the years 1920-1937 with emphasis on selected infectious diseases Abstract The aim of this work is to analyze mortality rates in the czech countries in the years 1920-1937. We focus on a group of infectious diseases that had in this period in terms of cause of death still a high proportion. The rate of mortality due to infectious diseases is dependent on many aspects, such as the correct detection of the disease, effective vaccines and the level of medicine. It is these causes that brought about the sharp decline in mortality due to infectious diseases in the late 19th century. Hovewer, the First World War interupted this permanent decline and the newly created Czechoslovak state had to deal with relatively high mortality due to these diseases. The inter-war period saw recurrent epidemies of infectious deseases, nevertheless until the Second World War we can see the change in mortality due to causes. The infectious diseases are gradually replaced by modern diseases, especially cancers and diseases of the circulatory system. Key words: mortality, causes of death, infectious diseases, decomposition, classification of causes of death, medical discoveries, the level of health
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Mathematical Analysis of Models for Viscoelastic Fluids
Kreml, Ondřej ; Pokorný, Milan (advisor) ; Skalák, Zdeněk (referee) ; Neustupa, Jiří (referee)
1 Title: Mathematical analysis of models for viscoelastic fluids Author: Ondřej Kreml Department: Mathematical Institute of Charles University Supervisor: Doc. Mgr. Milan Pokorný, Ph.D. Abstract: We consider several problems in the thesis. First we summarize key ideas of fluid mechanics theory and introduce several models describ- ing nonnewtonian behaviour of fluids. In the second chapter we prove local existence of solutions to the Oldroyd-type system achieved as a limit case with infinite relaxation and retardation times. We work with three types of boundary conditions, namely homogenous Dirichlet and periodic conditions and whole space, in 2D and 3D. We study also related system of PDE's which is equivalent to the Oldroyd-type system in 2D. In the third chapter we prove local existence of solutions to the system of PDE's describing the flow of a polymeric liquid. The polymer molecules are modeled as elastic dumbbells with spring force having the so-called FENE potential. Arising system con- sists of Navier-Stokes equations coupled with Fokker-Planck equation. In the fourth chapter we study asymptotic behaviour of solutions to equations desribing steady flow of a second grade fluid past an obstacle in three dimen- sions with prescribed nonzero velocity at infinity. Key point in the proof is using results of...
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