Soldatov M. Mathematical aspects oscillations theory of an fluid in а basin partially closed by ice

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U002972

Applicant for

Specialization

  • 01.01.03 - Математична фізика

04-09-2003

Specialized Academic Board

Д 64.175.01

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

The dissertation deals with the investigation of the problems on small oscillations of an ideal fluid in а basin, partially covered by elastic and crumb ice. By using functional analysis methods theorems on strong solvability of corresponding initial boundary value problems are proved. The corresponding spectral problems are studied. Basis property of eigen- functions system is proved. Asymptotic formulas are also investigated.

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