Sökning: "Parabolic system"
Visar resultat 1 - 5 av 48 avhandlingar innehållade orden Parabolic system.
1. Mathematical analysis and approximation of a multiscale elliptic-parabolic system
Sammanfattning : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. LÄS MER
2. Asymptotic analysis of solutions to elliptic and parabolic problems
Sammanfattning : In the thesis we consider two types of problems. In Paper 1, we studysmall solutions to a time-independent nonlinear elliptic partial differential equation of Emden-Fowler type in a semi-infnite cylinder. The asymptotic behaviour of these solutions at infnity is determined. First, the equation under the Neumann boundary condition is studied. LÄS MER
3. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation
Sammanfattning : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. LÄS MER
4. Qualitative Aspects of Nonlinear Parabolic Partial Differential Equations and Systems
Sammanfattning : This thesis contains four papers about some aspects of nonlinear parabolic equations and systems. Paper 1. A note on quenching for parabolic equations with dynamic boundary conditions We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary. Paper 2. LÄS MER
5. Optical Efficiency of Low-Concentrating Solar Energy Systems with Parabolic Reflectors
Sammanfattning : Solar electricity is a promising energy technology for the future, and by using reflectors for concentrating solar radiation onto photovoltaic cells, the cost per produced kWh can be significantly reduced. The optical efficiency of a concentrating system determines the fraction of the incident energy that is transferred to the cells and depends on the optical properties of the system components. LÄS MER