Search for dissertations about: "weak solvability"

Found 5 swedish dissertations containing the words weak solvability.

2. 1. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation

   Author : Arthur Vromans; Adrian Muntean; Martin Lind; Mohammad Asadzadeh; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; reaction-diffusion-mechanics model; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; Matematik; Mathematics;

   Abstract : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. READ MORE

4. 2. Homogenization of pseudoparabolic reaction-diffusion-mechanics systems : Multiscale modeling, well-posedness and convergence rates

   Author : Arthur J. Vromans; Adrian Muntean; Claudia Timofte; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Reaction-diffusion-mechanics system; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; corrector estimates; vanishing thin domains; Matematik; Mathematics;

   Abstract : In this dissertation, parabolic-pseudoparabolic equations are proposed to couple chemical reactions, diffusion, flow and mechanics in heterogeneous materials using the framework of mixture theory. The weak solvability is obtained in a one dimensional setting for the full system posed in a homogeneous domain - a formulation which we have obtained using the classical mixture theory. READ MORE

5. 3. Homogenization of reaction-diffusion problems with nonlinear drift in thin structures

   Author : Vishnu Raveendran; Adrian Muntean; Emilio N.M. Cirillo; Claudia Timofte; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Thin layer; homogenization; dimension reduction; reaction-diffusion-convection problem; two-scale convergence; effective transmission condition; fast drift; weak solvability of quasi-linear parabolic systems in unbounded domains.; Matematik; Mathematics;

   Abstract : We study the question of periodic homogenization of a variably scaled reaction-diffusion equation with non-linear drift of polynomial type. The non-linear drift was derived as hydrodynamic limit of a totally asymmetric simple exclusion process (TASEP) for a population of interacting particles crossing a domain with obstacle. READ MORE

6. 4. On parabolic equations of Kolmogorov-Fokker-Planck type

   Author : Malte Litsgård; Kaj Nyström; Ugo Gianazza; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Kolmogorov equation; degenerate parabolic; ultraparabolic; Lipschitz domain; Dirichlet problem; boundary behaviour; parabolic measure.; Mathematics; Matematik;

   Abstract : In this thesis solutions to Kolmogorov-Fokker-Planck type equations are studied. It consists of a comprehensive summary and four scientific articles.In the first article a potential theory for certain strongly degenerate parabolic operators in unbounded domains of Lipschitz type is developed. READ MORE

7. 5. Solution to boundary-contact problems of elasticity in mathematical models of the printing-plate contact system for flexographic printing

   Author : Nikolai Kotik; Yury Shestopalov; Stig Larsson; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; boundary-contact problem; elasticity; integral equation; approximate decomposition; Applied mathematics; Tillämpad matematik; Matematik; Mathematics;

   Abstract : Boundary-contact problems (BCPs) are studied within the frames ofclassical mathematical theory of elasticity and plasticityelaborated by Landau, Kupradze, Timoshenko, Goodier, Fichera andmany others on the basis of analysis of two- and three-dimensionalboundary value problems for linear partial differential equations.A great attention is traditionally paid both to theoreticalinvestigations using variational methods and boundary singularintegral equations (Muskhelishvili) and construction of solutionsin the form that admit efficient numerical evaluation (Kupradze). READ MORE