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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 233, Pages 53–54 (Mi znsl3660)  
Coupling the equation for filtration flow to a first order conservation law on the boundary

J. Filoa, S. Luckhausb

a Institute of Applied Mathematics, Commenius University, Slovakia
b Institute of Applied Mathematics, University of Bonn, Germany
Full-text PDF (106 kB)
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.
Received: 03.11.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 5, Pages 653–654
DOI: https://doi.org/10.1007/BF02366844
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: J. Filo, S. Luckhaus, “Coupling the equation for filtration flow to a first order conservation law on the boundary”, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Zap. Nauchn. Sem. POMI, 233, POMI, St. Petersburg, 1996, 53–54; J. Math. Sci. (New York), 93:5 (1999), 653–654
Citation in format AMSBIB
\Bibitem{FilLuc96}
\by J.~Filo, S.~Luckhaus
\paper Coupling the equation for filtration flow to a~first order conservation law on the boundary
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 233
\pages 53--54
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3660}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1699115}
\zmath{https://zbmath.org/?q=an:0928.76112}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 5
\pages 653--654
\crossref{https://doi.org/10.1007/BF02366844}
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