Sökning: "Jonatan Lenells"
Hittade 4 avhandlingar innehållade orden Jonatan Lenells.
Sammanfattning : A number of results related to the geometric interpretation of some dispersive nonlinear wave equations are presented. It is first described how some well-known shallow water equations arise geometrically as Euler equations for the geodesic flow on the Virasoro group endowed with certain right-invariant metrics. LÄS MER
Sammanfattning : The thesis at hand consists of three papers as well as an introductory chapter and a summary of results. The topic of the thesis is the study of the defocusing nonlinear Schrödinger equation with step-like oscillatory data. LÄS MER
Sammanfattning : The aim of this work is to present new contributions to the theory of peaked solitons. The thesis consists of two papers,which are named “Newsolutionswith peakon creation in the Camassa–HolmandNovikov equations” and “Peakon-antipeakon solutions of the Novikov equation” respectively. LÄS MER
Sammanfattning : This thesis focuses on problems in general relativity and random matrix theory that can be solved by means of Riemann-Hilbert techniques. The first part of the thesis is dedicated to solving boundary value problems related to colliding plane waves in vacuum in general relativity. LÄS MER