Sökning: "vanishing thin domains"

Hittade 3 avhandlingar innehållade orden vanishing thin domains.

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

   Författare :Vishnu Raveendran; Adrian Muntean; Emilio N.M. Cirillo; Claudia Timofte; Karlstads universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

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

   Författare :Arthur J. Vromans; Adrian Muntean; Claudia Timofte; Karlstads universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

4. 3. Envelopes of holomorphy for bounded holomorphic functions

   Författare :Ulf Backlund; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; holomorphicfunction; boundedholomorphic function; domain of holo¬ morphy; envelope of holomorphy; Gleason’s problem; convex set; plurisubharmonic function; pluripolar set; poly normally convex set;

   Sammanfattning : Some problems concerning holomorphic continuation of the class of bounded holo­morphic functions from bounded domains in Cn that are domains of holomorphy are solved. A bounded domain of holomorphy Ω in C2 with nonschlicht H°°-envelope of holomorphy is constructed and it is shown that there is a point in D for which Glea­son’s Problem for H°°(Ω) cannot be solved. LÄS MER