Sökning: "Vishnu Raveendran"

Hittade 2 avhandlingar innehållade orden Vishnu Raveendran.

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. Scaling effects and homogenization of reaction-diffusion problems with nonlinear drift

   Författare :Vishnu Raveendran; Adrian Muntean; Irina Pettersson; Karlstads universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; homogenization; asymptotic expansion with drift; two-scale convergence with drift; effective transmission condition; dimension reduction; two-scale system; nonlinear dispersion; Matematik; Mathematics;

   Sammanfattning : We study the periodic homogenization of reaction-diffusion problems with nonlinear drift describing the transport of interacting particles in composite materials. The microscopic model is derived as the hydrodynamic limit of a totally asymmetric simple exclusion process for a population of interacting particles crossing a domain with obstacles. LÄS MER