Sökning: "Euler equations"
Visar resultat 1 - 5 av 81 avhandlingar innehållade orden Euler equations.
1. Group theoretical methods for solving multidimensional nonlinear partial differential equations
Sammanfattning : New methods for constructing both exact and approximate solutions of multidimensional nonlinear partial differential equations are developed. The basis of the methods is taken from the classical Lie transformation group theory. LÄS MER
2. Symplectic methods for Hamiltonian isospectral flows and 2D incompressible Euler equations on a sphere
Sammanfattning : The numerical solution of non-canonical Hamiltonian systems is an active and still growing field of research. At the present time, the biggest challenges concern the realization of structure preserving algorithms for differential equations on infinite dimensional manifolds. Several classical PDEs can indeed be set in this framework. LÄS MER
3. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions
Sammanfattning : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. LÄS MER
4. The Skorohod problem and weak approximation of stochastic differential equations in time-dependent domains
Sammanfattning : This thesis consists of a summary and four scientific articles. All four articles consider various aspects of stochastic differential equations and the purpose of the summary is to provide an introduction to this subject and to supply the notions required in order to fully understand the articles. LÄS MER
5. Computer-Assisted Proofs and Other Methods for Problems Regarding Nonlinear Differential Equations
Sammanfattning : This PhD thesis treats some problems concerning nonlinear differential equations. In the first two papers computer-assisted proofs are used. The differential equations there are rewritten as fixed point problems, and the existence of solutions are proved. LÄS MER