Shcherbina A. The asymptotic behavior of solutions of the dissipative Zakharov system

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U003721

Thesis Registration Form

0406U003721.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

08-09-2006

Specialized Academic Board

К64.051.11

Essay

In the case of one spatial variable it is proved that the dissipative Zakharov system possessing a global attractor. In the case of analytic external forces it is shown that the elements of the attractor are analytic functions. In the case of two-dimensional domains it is shown that problem is globally well-posed. It is also shown that the Zakharov system possesses a global attractor. Тhe regularized system is constructed and it is proved that the attractor of the regularized system tends to the attractor of the Zakharov system.

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Files

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dis.pdf

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