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Journal of Automation and Information Sciences

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ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Extremal Regularization of Hydrodynamic Multidimensional Equations

Volumen 28, Ausgabe 1-2, 1996, pp. 26-35
DOI: 10.1615/JAutomatInfScien.v28.i1-2.30
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ABSTRAKT

The application of the operator deformation method to the regularization of multidimensional hydrodynamic nonlinear equations is examined. The existence and uniqueness of a solution of the linearized Navier-Stokes equation are proven, and a method for finding one of the solutions of the nonlinear Navier-Stokes equation is presented.

REFERENZEN
  1. Trudy Matematicheskogo instituta im. V. A. Steklova AN SSSR, (Papers ofSteklov Inst, of Mathematics of the Academy of Sciences of the USSR).

  2. Danilov, V. Ya., and Mel'nik, V. S., Optimization Problems for Hydrodynamic Equations.

  3. Ivanenko, V. I., and Mel'nik, V. S., Variatsionnoyye metody v zadachakh upravleniya dlya sistem s raspredelennymi parametrami (Variational Methods in Control Problems for Distributed-Parameters Systems).

  4. Fursikov, A. V., Control Problems and Theorems on the Unique Solvability of a Mixed Boundary Problem for Three-Dimensional Navier-Stokes and Euler Equations.

  5. Lions, J.-L., Certain Methods of Solving Nonlinear Boundary Problems (original title could not be ascertained).

  6. Goebel, M., On the Existence of Optimal Control.

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