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Boundary-value problem for a degenerate system of parabolic equations in boundary-layer theory

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Abstract

A problem is considered for the system describing gas flows with plate boundary layer separation in Mises variables in boundary-layer theory. The existence of generalized solutions of the problem is proved.

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References

  1. N. V. Khusnutdinova, “Thermal boundary layer on a plate,” Dokl. Akad. Nauk SSSR, 285, No. 3, 605–608 (1985).

    MathSciNet  Google Scholar 

  2. S. A. Kalashnikov, “On the occurrence of singularities in solutions of the equations of unsteady filtration,” Zh. Vychisl. Mat. Mat. Fiz., 7, 440–444 (1967).

    Google Scholar 

  3. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Uraltseva, Linear and Quasilinear Equations of the Parabolic Type [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  4. N. V. Khusnutdinova, “Boundedness conditions for the gradient of solutions of degenerate parabolic equations,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 72, Inst. of Hydrodynamics, Sib. Div., Acad. of Sci. of the USSR, Novosibirsk (1985), pp. 120–123.

    Google Scholar 

  5. S. N. Kruzhkov, “Quasilinear parabolic equations and systems with two independent variables,” in: Proc. Petrovskii Seminar [in Russian], No. 6, Izd. Mosk. Gos. Univ., Moscow (1979), p. 217.

    Google Scholar 

  6. S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Izd. Leningr. Gos. Univ., Leningrad (1950).

    Google Scholar 

  7. N. V. Khusnutdinova, “Conditions of global solvability of boundary-value problems for the steady-state boundary-layer equations for a compressible fluid,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 75, Inst. of Hydrodynamics, Sib. Div., Acad. of Sci. of the USSR, Novosibirsk (1982), pp. 113–130.

    Google Scholar 

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Correspondence to N. V. Khusnutdinova.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 36–41, July–August, 2008.

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Khusnutdinova, N.V. Boundary-value problem for a degenerate system of parabolic equations in boundary-layer theory. J Appl Mech Tech Phy 49, 548–552 (2008). https://doi.org/10.1007/s10808-008-0072-9

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  • DOI: https://doi.org/10.1007/s10808-008-0072-9

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