Homogenization and concentration for a diffusion equation with large convection in a bounded domain
From MaRDI portal
Publication:652438
DOI10.1016/j.jfa.2011.09.014zbMath1233.35013OpenAlexW2000500477MaRDI QIDQ652438
Grégoire Allaire, Andrey L. Piatnitski, Iryna L. Pankratova
Publication date: 14 December 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2011.09.014
Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows, Fast drift effects in the averaging of a filtration combustion system: A periodic homogenization approach, Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift, A multiscale MD-FE model of diffusion in composite media with internal surface interaction based on numerical homogenization procedure, Concentration phenomena for neutronic multigroup diffusion in random environments, Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer, A priori error estimate of a multiscale finite element method for transport modeling
Uses Software
Cites Work
- Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer
- Homogenization of a one-dimensional spectral problem for a singularly perturbed elliptic operator with Neumann boundary conditions
- Homogenization of a convection-diffusion model with reaction in a porous medium
- On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
- Asymmetric potentials and motor effect: a homogenization approach
- Homogenization of eigenvalue problems in perforated domains
- A counterexample to the ``hot spots conjecture
- On the ``hot spots conjecture of J. Rauch
- The spectral method in asymptotic diffusion problems with drift
- Homogenization of Poisson's kernel and applications to boundary control
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Homogenization and porous media
- AVERAGING A SINGULARLY PERTURBED EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A LAYER
- Compactness methods in the theory of homogenization
- ASYMPTOTICS OF FUNDAMENTAL SOLUTIONS OF SECOND-ORDER DIVERGENCE DIFFERENTIAL EQUATIONS
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Homogenization of a diffusion equation with drift
- Homogenization of a neutronic critical diffusion problem with drift
- Averaging a transport equation with small diffusion and oscillating velocity
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item