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Heating in lossy waveguide
Tichý, Jakub ; Horák, Jiří (referee) ; Raida, Zbyněk (advisor)
This thesis deals with modeling of a waveguide with the rectangular cross-section in Comsol Multiphysics and optimization with PSO algorithm in MATLAB. The practical section describes electromagnetic wave excitation at different frequencies; and the influence of changes of basic characteristics, proportions and the location of an inserted dielectric slide on passing electromagnetic wave in a single-mode band. In next phase of the project, changes of basic characteristics on heating structure at electromagnetic field excitation by this waveguides are discussed. The last part deals with optimizing waveguide filter with particle swarm optimization and research his new electric and thermal character. Modeled phenomena are illustrated by pictures of a waveguide from the axial upper projection, and on rectangular charts.
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Surface acoustic wave filter
Tichý, Jakub ; Dědková, Jarmila (referee) ; Raida, Zbyněk (advisor)
The theoretical part of this thesis deals with principles and characteristics of the surface acoustic wave filter. It explained the principle of magnetostriction and piezoelectric effect, which uses a filter. In the practical part in the program Comsol Multiphysics are made three simple models of SAW filter. Some modes are founded and are compared to previously known results. In the next phase of project is further studied using the parametric analysis. In the last phase of project is applied global optimization PSO at admittance characteristic from simple 2D structure. The results are compared with the commercially produced devices.
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Qualitative properties of solutions to equations of fluid mechanics
Tichý, Jakub
Qualitative properties of solutions to equations of fluid mechanics Mgr. Jakub Tichý Supervisor: doc. Mgr. Petr Kaplický, Ph.D. Department: Department of Mathematical Analysis Abstract This thesis is devoted to the boundary regularity of weak solutions to the system of nonlinear partial differential equations describing incompressible flows of a certain class of generalized Newtonian fluids in bounded domains. Equations of motion and continuity equation are complemented with perfect slip boundary conditions. For stationary generalized Stokes system in Rn with growth condi- tion described by N-function Φ the existence of the second derivatives of velocity and their regularity up to the boundary are shown. For the same system of equa- tions integrability of velocity gradients is proven. Lq estimates are obtained also for classical evolutionary Stokes system via interpolation-extrapolation scales. Hölder continuity of velocity gradients and pressure is shown for evolutionary generalized Navier-Stokes equations in R2 . Keywords Generalized Stokes and Navier - Stokes equations, incompressible fluids, perfect slip boundary conditions, regularity up to the boundary
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Importance of Augustine's Rule for the spiritual life in the course of time
Tichý, Jakub Štěpán ; Ventura, Václav (advisor) ; Vopřada, David (referee)
Importance of Augustine's Rule for the spiritual life in the course of time RNDr. Jakub Štěpán Tichý, Ph.D. Supervisor: doc. ThDr. Václav Ventura, Th.D. Department: Department of systematic Theology and Philosophy Abstract The goal of this thesis is to introduce Augustine's concept of religious life and to highlight the originality of this concept in the context of the existing monasticism and of the culture, in which Augustine lived. Furthermore, the thesis aims to present the current state of research of Augustine's rule and to illustrate the value of the rule for today's spiritual life on the basis of selected topics. Keywords Augustin of Hippo, Rule, Spirituality of Religious State
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Qualitative properties of solutions to equations of fluid mechanics
Tichý, Jakub
Qualitative properties of solutions to equations of fluid mechanics Mgr. Jakub Tichý Supervisor: doc. Mgr. Petr Kaplický, Ph.D. Department: Department of Mathematical Analysis Abstract This thesis is devoted to the boundary regularity of weak solutions to the system of nonlinear partial differential equations describing incompressible flows of a certain class of generalized Newtonian fluids in bounded domains. Equations of motion and continuity equation are complemented with perfect slip boundary conditions. For stationary generalized Stokes system in Rn with growth condi- tion described by N-function Φ the existence of the second derivatives of velocity and their regularity up to the boundary are shown. For the same system of equa- tions integrability of velocity gradients is proven. Lq estimates are obtained also for classical evolutionary Stokes system via interpolation-extrapolation scales. Hölder continuity of velocity gradients and pressure is shown for evolutionary generalized Navier-Stokes equations in R2 . Keywords Generalized Stokes and Navier - Stokes equations, incompressible fluids, perfect slip boundary conditions, regularity up to the boundary
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Qualitative properties of solutions to equations of fluid mechanics
Tichý, Jakub ; Kaplický, Petr (advisor) ; Bulíček, Miroslav (referee) ; Diening, Lars (referee)
Qualitative properties of solutions to equations of fluid mechanics Mgr. Jakub Tichý Supervisor: doc. Mgr. Petr Kaplický, Ph.D. Department: Department of Mathematical Analysis Abstract This thesis is devoted to the boundary regularity of weak solutions to the system of nonlinear partial differential equations describing incompressible flows of a certain class of generalized Newtonian fluids in bounded domains. Equations of motion and continuity equation are complemented with perfect slip boundary conditions. For stationary generalized Stokes system in Rn with growth condi- tion described by N-function Φ the existence of the second derivatives of velocity and their regularity up to the boundary are shown. For the same system of equa- tions integrability of velocity gradients is proven. Lq estimates are obtained also for classical evolutionary Stokes system via interpolation-extrapolation scales. Hölder continuity of velocity gradients and pressure is shown for evolutionary generalized Navier-Stokes equations in R2 . Keywords Generalized Stokes and Navier - Stokes equations, incompressible fluids, perfect slip boundary conditions, regularity up to the boundary
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