J. Filo, S. Luckhaus, “Coupling the equation for filtration flow to a first order conservation law on the boundary”, Zap. Nauchn. Sem. POMI, 1996, Volume 233,Pages <nobr>53

Coupling the equation for filtration flow to a first order conservation law on the boundary

J. Filo^a, S. Luckhaus^b

^a Institute of Applied Mathematics, Commenius University, Slovakia
^b Institute of Applied Mathematics, University of Bonn, Germany

Abstract: 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.

UDC: 517.9

Received: 03.11.1995

Language: English