Sökning: "nonlinear PDEs"
Visar resultat 1 - 5 av 10 avhandlingar innehållade orden nonlinear PDEs.
1. Two Problems in non-linear PDE’s with Phase Transitions
Sammanfattning : This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. LÄS MER
2. Painlevé analysis and transformations for nonlinear partial differential equations
Sammanfattning : Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. LÄS MER
3. Conservation Laws, Numerical Schemes and Control Strategies for Sedimentation and Wastewater Treatment
Sammanfattning : A consistent theme throughout this thesis is quasilinear partial differential equations (PDEs) appearing in one-dimensional models of sedimentation for solid-liquid separation of suspensions. We mainly focus on continuous sedimentation in so-called clarifier-thickeners (CTs), which are found in mineral processing and wastewater treatment. LÄS MER
4. Oversampled radial basis function methods for solving partial differential equations
Sammanfattning : Partial differential equations (PDEs) describe complex real-world phenomena such as weather dynamics, object deformations, financial trading prices, and fluid-structure interaction. The solutions of PDEs are commonly used to enhance the understanding of these phenomena and also as leverage to make technological improvements to consumer products. LÄS MER
5. Selected Topics in Mathematical Modelling: Machine Learning and Tugs-of-War
Sammanfattning : This thesis concerns selected topics in mathematical modelling, namely in machine learning and stochastic games called tugs-of-war. It consists of four scientific articles. The first and second are about machine learning topics, while the third and fourth articles are about tug-of-war games. LÄS MER