Sökning: "two-scale coupled system"

Hittade 3 avhandlingar innehållade orden two-scale coupled system.

  1. 1. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

    Författare :Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

    Sammanfattning : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. 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

  4. 3. Models for capturing the penetration of a diffusant concentration into rubber : Numerical analysis and simulation

    Författare :Surendra Nepal; Adrian Muntean; Nadja Ray; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; transport of diffusants; moving-boundary problem; finite element method; a priori and a posteriori error estimates; random walk method; two-scale coupled system; Matematik; Mathematics;

    Sammanfattning : Understanding the transport of diffusants into rubber plays an important role in forecasting the material's durability. In this regard, we study different models, conduct numerical analysis, and present simulation results that predict the evolution of the penetration front of diffusants. LÄS MER