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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22), Pages 47–52 (Mi vsgtu901)  

This article is cited in 2 scientific papers (total in 2 papers)

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

Weak and strong convergence of solutions to linearized equations of low compressible fluid

N. A. Gusev

Dept. of Higher Mathematics, Moscow Institute of Physics and Technology, Dolgoprudniy, Moskovskaya obl.

Abstract: Initial-boundary value problem for linearized equations of viscous barotropic low compressible fluid in a bounded domain is considered. Convergence of solutions of this problem at withincompressible limit approaching to zero is studied. Sufficient conditions for the weak and strong convergence of this problem for uncompressible liquid are given.

Keywords: linearized equations of compressible fluid, compressibility factor, low compressible fluid

DOI: https://doi.org/10.14498/vsgtu901

Full text: PDF file (559 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 532.51+517.956.6+517.972.5
MSC: 35D30, 76N10
Original article submitted 21/XII/2010
revision submitted – 16/III/2010

Citation: N. A. Gusev, “Weak and strong convergence of solutions to linearized equations of low compressible fluid”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 47–52

Citation in format AMSBIB
\Bibitem{Gus11}
\by N.~A.~Gusev
\paper Weak and strong convergence of~solutions to~linearized equations of~low compressible fluid
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 47--52
\mathnet{http://mi.mathnet.ru/vsgtu901}
\crossref{https://doi.org/10.14498/vsgtu901}


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    This publication is cited in the following articles:
    1. I. I. Lipatov, A. D. Polyanin, “Decomposition and exact solutions of equations of a weakly compressible barotropic fluid”, Dokl. Physics, 58:3 (2013), 116–120  crossref  crossref  mathscinet  isi  elib  elib  scopus
    2. Polyanin A.D., Lychev S.A., “Decomposition Methods For Coupled 3D Equations of Applied Mathematics and Continuum Mechanics: Partial Survey, Classification, New Results, and Generalizations”, Appl. Math. Model., 40:4 (2016), 3298–3324  crossref  mathscinet  isi  elib  scopus
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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