Homogenization and concentration for a diffusion equation with large convection in a bounded domain
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Grégoire Allaire | Andrey L. Piatnitski | Andrey Piatnitski | G. Allaire | Irina Pankratova | I. Pankratova
[1] U. Hornung. Homogenization and porous media , 1996 .
[2] Wendelin Werner,et al. A counterexample to the “hot spots” conjecture , 1998 .
[3] Andrey L. Piatnitski,et al. Averaging a transport equation with small diffusion and oscillating velocity , 2001 .
[4] Grégoire Allaire,et al. Homogenization of a convection–diffusion model with reaction in a porous medium , 2007 .
[5] T. F. Russell,et al. NUMERICAL METHODS FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OR FINITE DIFFERENCE PROCEDURES* , 1982 .
[6] Panagiotis E. Souganidis,et al. Asymmetric potentials and motor effect: a homogenization approach , 2009 .
[7] K. Burdzy,et al. On the “Hot Spots” Conjecture of J. Rauch , 1999 .
[8] O. Ladyženskaja. Linear and Quasilinear Equations of Parabolic Type , 1968 .
[9] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[10] Yves Capdeboscq. Homogenization of a neutronic critical diffusion problem with drift , 2002, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[11] J. Rauch. Lecture #1. Five problems: An introduction to the qualitative theory of partial differential equations , 1975 .
[12] M. Avellaneda,et al. Homogenization of Poisson's kernal and applications to boundary control , 1989 .
[13] ASYMPTOTICS OF FUNDAMENTAL SOLUTIONS OF SECOND-ORDER DIVERGENCE DIFFERENTIAL EQUATIONS , 1982 .
[14] Andrey L. Piatnitski,et al. Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer , 2012 .
[15] Andrey L. Piatnitski,et al. On the behaviour at infinity of solutions to stationary convection-diffusion equations in a cylinder , 2009 .
[16] I. Aleksandrova. The spectral method in asymptotic diffusion problems with drift , 1996 .
[17] V. Zhikov,et al. Homogenization of Differential Operators and Integral Functionals , 1994 .
[18] A. Pyatnitskii,et al. Averaging a Singularly Perturbed Equation with Rapidly Oscillating Coefficients in a Layer , 1984 .
[19] G. Allaire,et al. Homogenization of a one-dimensional spectral problem for a singularly perturbed elliptic operator with Neumann boundary conditions , 2011 .
[20] O. Pironneau. On the transport-diffusion algorithm and its applications to the Navier-Stokes equations , 1982 .
[21] Andrey L. Piatnitski,et al. Averaging of nonstationary parabolic operators with large lower order terms , 2005 .
[22] Yves Capdeboscq. Homogenization of a diffusion equation with drift , 1998 .
[23] M. Vanninathan. Homogenization of eigenvalue problems in perforated domains , 1981 .
[24] D. Aronson,et al. Non-negative solutions of linear parabolic equations , 1968 .
[25] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[26] M. Avellaneda,et al. Compactness methods in the theory of homogenization , 1987 .