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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2005, Volume 12, Number 2, Pages 230–245 (Mi jmag185)  
This article is cited in 1 scientific paper (total in 1 paper)

Dissipative Zakharov system in two-dimensional thin domain

A. S. Shcherbina

Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
Full-text PDF (274 kB) Citations (1)
Abstract: We study the dissipative case of the Zakharov system with periodic boundary conditions in the two-dimensional thin domain. We prove that this system has a unique strong solution. Our proof is based on the Galerkin method of approximations.
Received: 21.06.2004
Bibliographic databases:
Document Type: Article
MSC: 35Q55
Language: English
Citation: A. S. Shcherbina, “Dissipative Zakharov system in two-dimensional thin domain”, Mat. Fiz. Anal. Geom., 12:2 (2005), 230–245
Citation in format AMSBIB
\Bibitem{Shc05}
\by A.~S.~Shcherbina
\paper Dissipative Zakharov system in two-dimensional thin domain
\jour Mat. Fiz. Anal. Geom.
\yr 2005
\vol 12
\issue 2
\pages 230--245
\mathnet{http://mi.mathnet.ru/jmag185}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2152648}
\zmath{https://zbmath.org/?q=an:1075.35081}
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  • https://www.mathnet.ru/eng/jmag/v12/i2/p230
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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