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Navier-Stokes equations from the point of view of the theory of ill-posed boundary value problems

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The Navier-Stokes Equations Theory and Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1431))

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References

  1. Fursikov A.V. Control problems and theorems, concerning the unique solvability of a initial boundary value problem for the three-dimensional Navier-Stokes and Euler equations.-Math USSR Sbornik, 43, (2), (1982), 251–273

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  2. Vishik M.I., Fursikov A.V. Mathematical problems of statisfical hydromechanics-Kluwer academic publishers, Dordrecht, Boston, London, 1988

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  3. Fursikov A.V. On the uniqueness of solutions of the chain of moment equations, corresponding to the three dimensional Navier-Stokes system. Mat.Sb. 134, (4), (1987), 472–495 (in Russian)

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  4. Tikhonov A.N., Arsenin V.Ia. Methods of solution of ill-posed problems, Nauka, Moscow, 1979 (in Russian)

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  5. Lavrentiev M.M., Romanov V.G., Shishatskiy S.P. Ill-posed problems of mathematical physic and analysis. Nauka, Moscow, 1980 (in Russian)

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  6. Sohr H., von Whal W. Generic solvability of the equations of Navier-Stokes. Hirosima Math. J. 17, (3), 613–625

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  7. Fursikov A.V. Some problems of the theory of optimal control of nonlinear systems with distributed parameters. Proc. of I.G. Petrovskiy's sem.9, (1983), 167–189 (in Russian)

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  8. Fursikov A.V. Analytic functionals and unique solvability to quasilinear dissipative systems for almost all initial conditions. Trans. Moscow Math.Soc. 1987, 1–55

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow University, Lenin Hills, 119899, Moscow, USSR

    A. V. Fursikov

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  1. A. V. Fursikov
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John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

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© 1990 Springer-Verlag

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Fursikov, A.V. (1990). Navier-Stokes equations from the point of view of the theory of ill-posed boundary value problems. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086052

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  • DOI: https://doi.org/10.1007/BFb0086052

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52770-1

  • Online ISBN: 978-3-540-47141-7

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