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A remark on the existence proof of Hopf's solution of the Navier-Stokes Equation

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References

  1. E. Hopf, Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Math. Nachr.4, 213–231 (1951).

    Google Scholar 

  2. O. A. Ladyzenskaya, V. A. Solonnikov andN. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type. Translation from the Russian, Amer. Math. Soc. Providence, Rhode Island 1968.

    Google Scholar 

  3. R.Landes and V.Mustonen, A Strongly Nonlinear Parabolic Initial Boundary Value Problem. To appear in Arkiv för Matematik.

  4. J. Leray, Etude de diverses équations intégrales nonlinéaries et de quelques problèmes que posent l'hydrodynamique. J. Math. Pures Appl.12, 1–82 (1933).

    Google Scholar 

  5. J. Leray, Essai sur le mouvement plan d'un liquide visqueux que limitent des parois. J. Math. Pures Appl.13, 331–418 (1934).

    Google Scholar 

  6. J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math.63, 193–248 (1934).

    Google Scholar 

  7. J. L. Lions, Sur certains problèmes differentiels nonlinéaires. C. R. Acad. Si. Paris,252, 657–659 (1961).

    Google Scholar 

  8. J. L.Lions, Quelques méthodes de résolution des problèmes aux limites nonlinéaires. Paris 1969.

  9. R.Teman, Navier-Stokes Equation: Theory and Numerical Analysis. Amsterdam-New York 1977.

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  1. R. Landes

    Present address: Department of Mathematics, The University of Oklahoma, 73019, Norman, OK, USA

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    Landes, R. A remark on the existence proof of Hopf's solution of the Navier-Stokes Equation. Arch. Math 47, 367–371 (1986). https://doi.org/10.1007/BF01191364

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