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Visar resultat 1 - 5 av 6 avhandlingar som matchar ovanstående sökkriterier.
1. Symmetries and conservation laws
Sammanfattning : Conservation laws play an important role in science. The aim of this thesis is to provide an overview and develop new methods for constructing conservation laws using Lie group theory. The derivation of conservation laws for invariant variational problems is based on Noether’s theorem. LÄS MER
2. Simulation of Chemical Reactors
Sammanfattning : This thesis consists basically of two parts. They are, however, interrelated by the fact that both parts concerns modelling of catalytic reaction systems and also by the fact that in both parts, spectral methods are used for simulation. The first part describes the numerical treatment of the dispersion model. LÄS MER
3. The Dirac Equation: Numerical and Asymptotic Analysis
Sammanfattning : The thesis consists of three parts, although each part belongs to a specific subject area in mathematics, they are considered as subfields of the perturbation theory. The main objective of the presented work is the study of the Dirac operator; the first part concerns the treatment of the spurious eigenvalues in the computation of the discrete spectrum. LÄS MER
4. Homogenization of elliptic equations in thin cylinders and related qualitative problems
Sammanfattning : The thesis consists of four closely related papers (A, B, C and D). Paper A concerns the study of the behaviour at infinity of solutions to second order elliptic equation with first order terms stated in a half-cylinder. LÄS MER
5. Higher order differential operators on graphs
Sammanfattning : This thesis consists of two papers, enumerated by Roman numerals. The main focus is on the spectral theory of -Laplacians. Here, an -Laplacian, for integer , refers to a metric graph equipped with a differential operator whose differential expression is the -th derivative. LÄS MER