Gordevskyy V. Bimodal approximate solutions of the Boltzmann equation

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0504U000356

Thesis Registration Form

0504U000356.pdf

Applicant for

Gordevskyy Vyacheslav Dmitrievich

Specialization

01.01.03 - Математична фізика

Date of defense

26-05-2004

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

Bimodal approximate solutions of the non-linear kinetic Boltzmann equation. Construction of explicit approximate solutions of the Boltzmann equation for the models of hard and rough spheres which differ from the Maxwellians. Methods of research are theory of distributions and special functions, vector analysis, asymptotical methods. A number of classes of the bimodal distributions with global and local modes are obtained, which minimize remainders between sides of the Boltzmann equation with some accordant behaviour of hydrodynamical parameters. The properties of non-stationary solutions of this equation of the most general form are investigated. Sphere of use is the theory of non-linear kinetic equations, hydro- and aerodynamics, meteorology, oceanology, astrophysics.

Official opponents

Петрина Д.Я.
Білоколос Є.Д.
Бобильов О.В.

Files

Автореферат1.doc

Автореферат2.doc

Автореферат3.doc

Автореферат4.doc

ВВЕДЕНИЕ.doc

Выводы.doc

Раздел 1.doc

Раздел 2.doc

Раздел 3-1.doc

Раздел 3-10.doc

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Раздел 4-1.doc

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Раздел 4-6.doc

Раздел 5-1.doc

Раздел 5-2.doc

Раздел 5-3.doc

Раздел 5-4.doc

СОДЕРЖАНИЕ.doc

Список литературы.doc

Титульный лист.doc

титул.doc

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