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Algebra i Analiz, 2002, Volume 14, Issue 1, Pages 71–98 (Mi aa834)  

This article is cited in 11 scientific papers (total in 12 papers)

Research Papers

Classical solvability of a problem governing the motion of an isolated mass of a compressible fluid

I. V. Denisovaa, V. A. Solonnikovb

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Received: 11.05.2001
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Denisova, V. A. Solonnikov, “Classical solvability of a problem governing the motion of an isolated mass of a compressible fluid”, Algebra i Analiz, 14:1 (2002), 71–98; St. Petersburg Math. J., 14:1 (2002), 53–74
Citation in format AMSBIB
\Bibitem{DenSol02}
\by I.~V.~Denisova, V.~A.~Solonnikov
\paper Classical solvability of a~problem governing the motion of an isolated mass of a~compressible fluid
\jour Algebra i Analiz
\yr 2002
\vol 14
\issue 1
\pages 71--98
\mathnet{http://mi.mathnet.ru/aa834}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1893321}
\zmath{https://zbmath.org/?q=an:1037.35103}
\transl
\jour St. Petersburg Math. J.
\yr 2002
\vol 14
\issue 1
\pages 53--74
Linking options:
  • https://www.mathnet.ru/eng/aa834
  • https://www.mathnet.ru/eng/aa/v14/i1/p71
  • This publication is cited in the following 12 articles:
    1. G. I. Bizhanova, I. V. Denisova, A. I. Nazarov, K. I. Pileckas, V. V. Pukhnachev, S. I. Repin, J.-F. Rodrigues, G. A. Seregin, N. N. Uraltseva, E. V. Frolova, “On the 90th birthday of Vsevolod Alekseevich Solonnikov”, Russian Math. Surveys, 78:5 (2023), 971–981  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. Saito H., “Global Solvability of the Navier–Stokes Equations With a Free Surface in the Maximal l-P-l-Q Regularity Class”, J. Differ. Equ., 264:3 (2018), 1475–1520  crossref  mathscinet  zmath  isi  scopus
    3. Maryani S., Nonlinear Anal.-Theory Methods Appl., 141 (2016), 109–129  crossref  mathscinet  zmath  isi  scopus
    4. Kubo T., Shibata Y., Soga K., “On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface”, Discret. Contin. Dyn. Syst., 36:7 (2016), 3741–3774  crossref  mathscinet  zmath  isi  scopus
    5. Maryani S., “Global well-posedness for free boundary problem of the Oldroyd-B model fluid flow”, Math. Meth. Appl. Sci., 39:9 (2016), 2202–2219  crossref  mathscinet  zmath  isi  scopus
    6. Shibata Y., “On the global well-posedness of some free boundary problem for a compressible barotropic viscous fluid flow”, Recent Advances in Partial Differential Equations and Applications, Contemporary Mathematics, 666, eds. Radulescu V., Sequeira A., Solonnikov V., Amer Mathematical Soc, 2016, 341–356  crossref  mathscinet  zmath  isi
    7. Goetz D., Shibata Y., “On the R-Boundedness of the Solution Operators in the Study of the Compressible Viscous Fluid Flow With Free Boundary Conditions”, Asymptotic Anal., 90:3-4 (2014), 207–236  crossref  mathscinet  zmath  isi  scopus
    8. Koehne M. Pruss J. Wilke M., “Qualitative Behaviour of Solutions for the Two-Phase Navier–Stokes Equations with Surface Tension”, Math. Ann., 356:2 (2013), 737–792  crossref  mathscinet  zmath  isi  scopus
    9. Coutand D., Hole J., Shkoller S., “Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit”, SIAM J. Math. Anal., 45:6 (2013), 3690–3767  crossref  mathscinet  zmath  isi  elib  scopus
    10. I. V. Denisova, K. I. Pileckas, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Solonnikov's jubilee”, J. Math. Sci. (N. Y.), 159:4 (2009), 385–390  mathnet  crossref  zmath
    11. J. Math. Sci. (N. Y.), 127:2 (2005), 1849–1868  mathnet  crossref  mathscinet  zmath
    12. I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee”, J. Math. Sci. (N. Y.), 130:4 (2005), 4775–4779  mathnet  crossref  mathscinet  zmath
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    Алгебра и анализ St. Petersburg Mathematical Journal
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