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On a variational method for solving hydrodynamical free boundary problems

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References

  1. Weinstein A., “Ein hydrodynamischer Unitatsatz,” Math. Z.,19, 265–274 (1924).

    Article  Google Scholar 

  2. Leray J. andWeinstein, A., “Sur un probleme de representation conforme pose par la theorie de Helmholtz,” C. R. Acad. Sci. Paris,198, 430–433 (1934).

    MATH  Google Scholar 

  3. Leray, J., “Les problems de representation conforme de Helmholtz theorie des sillages et des proues,” Comm. Math. Helvetici,8, No. 2, 149–180; 250–263 (1935–1936).

    Article  Google Scholar 

  4. Lavrent’ev M. A., “On some properties of univalent functions with applications to jet theory,” Mat. Sb.,4, 391–458 (1938).

    MATH  Google Scholar 

  5. Lavrent’ev M. A., “On some boundary problems in the theory of univalent functions,” Mat. Sb.,1, 815–846 (1936).

    MATH  Google Scholar 

  6. Serrin J. B., “Existence theorems for some hydrodynamical free boundary problems,” J. Rational Mech. Anal.,1, 1–48 (1952).

    Google Scholar 

  7. Lavrent’ev M. A. andShabat B. V. Hydrodynamical Problems and Their Mathematical Models [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  8. Monakhov V. N., Boundary Value Problems with Free Boundaries for Elliptic Systems of Equations [in Russian], Nauka, Novosibirsk (1977).

    MATH  Google Scholar 

  9. Polubarinova-Kochina P. Ya., The Theory of Motion of Ground Waters [in Russian], GITTL, Moscow (1952).

    Google Scholar 

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Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 5, pp. 1106–1121, September–October, 2000.

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Monakhov, V.N. On a variational method for solving hydrodynamical free boundary problems. Sib Math J 41, 907–920 (2000). https://doi.org/10.1007/BF02674747

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  • DOI: https://doi.org/10.1007/BF02674747

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