Sökning: "non-linear equations"

Visar resultat 1 - 5 av 122 avhandlingar innehållade orden non-linear equations.

1. 1. Non-linear Free Boundary Problems

   Författare :Andreas Minne; Henrik Shahgholian; Herbert Koch; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; free boundary; elliptic; fully non-linear; Mathematics; Matematik;

   Sammanfattning : This thesis consists of an introduction and four research papers related to free boundary problems and systems of fully non-linear elliptic equations.Paper A and Paper B prove optimal regularity of solutions to general elliptic and parabolic free boundary problems, where the operators are fully non-linear and convex. LÄS MER

3. 2. Non-Linear Spatio-Temporal Dynamics of Optical Beams and Pulses in Kerr and Ionizable Media

   Författare :Manuel López Quiroga Teixeiro; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; self-focussing; wave-breaking; optical Kerr effect; autowaves; fast adiabatic compression; non-linear modes conversion; non-linear optics; blue-shift; solitons; full wave numerical simulations; optical fibers; ionization non-linearities; pulse compressioni;

   Sammanfattning : The present thesis includes results of several investigations concerning the propagation of optical pulses in optical fibers and spatio-temporal beams in optical Kerr media and ionizable media. Both numerical and analytical methods play an important role in the investigations. LÄS MER

4. 3. Mean Field Games for Jump Non-Linear Markov Process

   Författare :Rani Basna; Astrid Hilbert; Rainer Buckdahn; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mean-field games; Optimal Control; Non-linear Markov Processes; Mathematics; Matematik;

   Sammanfattning : The mean-field game theory is the study of strategic decision making in very large populations of weakly interacting individuals. Mean-field games have been an active area of research in the last decade due to its increased significance in many scientific fields. LÄS MER

5. 4. Boundary Estimates for Solutions to Parabolic Equations

   Författare :Olow Sande; Kaj Nyström; Maciej Klimek; Juha Kinnunen; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Uniformly parabolic equations; non-linear parabolic equations; linear growth; degenerate parabolic equations; fractional heat equations; complex coefficients; Lipschitz domain; NTA domain; boundary behaviour; boundary Harnack; parabolic measure; Riesz measure; Dirichlet to Neumann map; single layer potentials.; Mathematics; Matematik;

   Sammanfattning : This thesis concerns the boundary behavior of solutions to parabolic equations. It consists of a comprehensive summary and four scientific papers. The equations concerned are different generalizations of the heat equation.Paper I concerns the solutions to non-linear parabolic equations with linear growth. LÄS MER

7. 5. Two Problems in non-linear PDE’s with Phase Transitions

   Författare :Karl Jonsson; Henrik Shahgholian; Tomas Sjödin; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Conductivity jump; Free boundary problem; Quasilinear elliptic equation; Mathematical techniques; Nonlinear analysis; Free boundary; Free-boundary problems; Quasi-linear elliptic; Quasilinear elliptic equations; Hele-Shaw flow; non-local; implicit function theorem; Heterogeneous Multi Scale; HMM; Finite Element; FEM; FE; Mathematics; Matematik;

   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