Minenko O. Mathematical modeling of fluid and thermophysical processes motion in media with free boundary

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0509U000333

Thesis Registration Form

0509U000333.pdf

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

22-05-2009

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

The manuscript is devoted to the problems with free boundaries, which evolve in many spheres of sciences and have the nature of variations. This makes it possible to investigate a wide range of non-linear border problems on the basis of unique methodology foundation: problems of Bernoulli type in flat and asymmetric cases; double – measured problems of Stephan type in a stationary regime and a quasi-stationary one. With the help of the developed mathematical means the properties of smoothness of solving boundaries problems is defined and analogy of free boundaries is proved. Grounding application of method for building approximate problem solving by Reitz , coming down to precise ones, in different metrics is given in the work. The optimal management problem of free boundaries is studied. Analysis of the problem by Stephan with taking into consideration convection types of movement on flatness and in space is also offered.

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Files

автореферат Миненко А.С.doc

по главам--1 ГЛАВА.doc

по главам--2 ГЛАВА.doc

по главам--3 ГЛАВА.doc

по главам--4 ГЛАВА.doc

по главам--5 ГЛАВА.doc

по главам--6 ГЛАВА.doc

по главам--6 ГЛАВА.doc

по главам--Введение.doc

по главам--Вывод.doc

по главам--ПРИЛОЖЕНИЕ А.doc

по главам--ПРИЛОЖЕНИЕ В.doc

по главам--ПРИЛОЖЕНИЕ С.doc

по главам--Содержание.doc

по главам--Сп_лит.doc

по главам--титл_дисс.doc

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