TY - INPR
A1 - Dolbeault, Jean
A1 - Markowich, Peter A.
A1 - Unterreiter, Andreas
T1 - On singular limits of mean-field equations
N2 - Mean field equations arise as steady state versions of convection-diffusion systems where the convective field is determined as solution of a Poisson equation whose right hand side is affine in the solutions of the convection-diffusion equations. In this paper we consider the repulsive coupling case for a system of 2 convection-diffusion equations. For general diffusivities we prove the existence of a unique solution of the mean field equation by a variational technique. Also we analyse the small-Debye-length limit and prove convergence to either the so-called charge-neutral case or to a double obstacle problem for the limiting potential depending on the data.
T3 - Berichte der Arbeitsgruppe Technomathematik (AGTM Report) - 228
Y1 - 2000
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1054
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-10050
ER -