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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 233, Pages 131–141 (Mi znsl3665)  
On the analysis of an endothermal/exothermal saturation problem

B. Louro, J.-F. Rodrigues

Univereidade Nova de Lisboa, Monte da Caparica, Portugal
Full-text PDF (476 kB)
Abstract: In this paper we consider an endo or exo-thermal saturation problem that corresponds to a parabolic quasi-variational inequality. By using regularity results and inequalities of Lewy–Stampacchia type we prove the solvability of a modified problem (including the Steklov averaging and the mollification of the saturation velocity) for the nonlinear case and also of the exact problem for the linear case with a small coefficient in the temperature equation. Bibl. 8 titles.
Received: 12.11.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 5, Pages 711–718
DOI: https://doi.org/10.1007/BF02366849
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: B. Louro, J.-F. Rodrigues, “On the analysis of an endothermal/exothermal saturation problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Zap. Nauchn. Sem. POMI, 233, POMI, St. Petersburg, 1996, 131–141; J. Math. Sci. (New York), 93:5 (1999), 711–718
Citation in format AMSBIB
\Bibitem{LouRod96}
\by B.~Louro, J.-F.~Rodrigues
\paper On the analysis of an endothermal/exothermal saturation problem
\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 131--141
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1699120}
\zmath{https://zbmath.org/?q=an:0933.35117}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 5
\pages 711--718
\crossref{https://doi.org/10.1007/BF02366849}
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