Fastovska T. The asymptotic behavior of solutions to the Mindlin plates thermoelastic problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000013

Thesis Registration Form

0408U000013.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

28-12-2007

Specialized Academic Board

К64.051.11

Essay

In cases of classical heat conduction, second sound and the system with memory, it is proved that the Mindlin-Timoshenko systems possess finite dimensional global compact attractors. The semi-continuity of the family of the attractors with respect to the shear modulus and relaxation time is shown. The existence of exponentially attracting invariant manifold for an abstract system describing also Mindlin-Timoshenko thermoelasticity is proved.

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