Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 53-54
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J. Filo; S. Luckhaus. Coupling the equation for filtration flow to a first order conservation law on the boundary. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 53-54. http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a3/
@article{ZNSL_1996_233_a3,
author = {J. Filo and S. Luckhaus},
title = {Coupling the equation for filtration flow to a~first order conservation law on the boundary},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {53--54},
year = {1996},
volume = {233},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a3/}
}
TY - JOUR
AU - J. Filo
AU - S. Luckhaus
TI - Coupling the equation for filtration flow to a first order conservation law on the boundary
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 53
EP - 54
VL - 233
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a3/
LA - en
ID - ZNSL_1996_233_a3
ER -
%0 Journal Article
%A J. Filo
%A S. Luckhaus
%T Coupling the equation for filtration flow to a first order conservation law on the boundary
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 53-54
%V 233
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a3/
%G en
%F ZNSL_1996_233_a3
A parabolic-elliptic equation in a domain $\Omega$ is solved coupled to a first-order (hyperbolic) equation on $\partial\Omega$. The coupling is given via a nonlinear Neumann condition or if the first-order equation is linear by a variational inequality.
