Search for dissertations about: "linear parabolic problems"

Showing result 1 - 5 of 28 swedish dissertations containing the words linear parabolic problems.

2. 1. Non-linear Free Boundary Problems

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

   Abstract : 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. READ MORE

4. 2. Parabolic problems on noncylindrical domains : the method of Rothe

   Author : Komil Kuliev; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Abstract : This Licentiate Thesis deals with parabolic problems on non-cylindrical domains. The existence and uniqueness of the corresponding initial- boundary value problem is proved by the method of Rothe, which - for the case of non-cylindrical domains - has to be appropriately generalized and applied. READ MORE

5. 3. Homogenization of Partial Differential Equations using Multiscale Convergence Methods

   Author : Pernilla Johnsen; Liselott Flodén; Anders Holmbom; Marianne Olsson Lindberg; Jens Persson; Niklas Wellander; Mittuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; homogenization theory; two-scale convergence; multiscale convergence; very weak multiscale convergence; evolution multiscale convergence; very weak evolution multiscale convergence; linear parabolic problems; linear hyperbolic-parabolic problems;

   Abstract : The focus of this thesis is the theory of periodic homogenization of partial differential equations and some applicable concepts of convergence. More precisely, we study parabolic problems exhibiting both spatial and temporal microscopic oscillations and a vanishing volumetric heat capacity type of coefficient. READ MORE

6. 4. Spatial and Physical Splittings of Semilinear Parabolic Problems

   Author : Erik Henningsson; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; splitting schemes; parabolic equations; semilinear; evolution equations; dissipative; convergence order; dimension splitting; domain decomposition; axonal growth;

   Abstract : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. READ MORE

7. 5. Numerical Analysis of Evolution Problems in Multiphysics

   Author : Anna Persson; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; regularity; generalized finite element; localized orthogonal decomposition; multiscale; finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations; Regularity; generalized finite element; localized orthogonal decomposition; multiscale finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations;

   Abstract : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. READ MORE