Ryzhkova I. Asymptotic dynamics of a thermoelastic von Karman plate in a gas flow

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U002742

Thesis Registration Form

0408U002742.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

06-06-2008

Specialized Academic Board

К64.051.11

Essay

Well-posedness of the full system "plate + gas" is proved. It is shown, that in the case of the subsonic gas flow every solution to the system tends to its set of stationary points. Reduction of the full system to the retarded equation system is carried out, and well-posedness of the problem obtained is proved. Conditions on the problem parameters, under which the corresponding dynamical system has a compact global attractor of finite fractal dimension, are found.

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Files

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