Taranets R. Solvability and qualitative properties of solutions of capillary thin-film equations with nonlinear diffusion, convection and absorption

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U003661

Thesis Registration Form

0405U003661.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

28-09-2005

Specialized Academic Board

Д 11.193.01

Essay

The dissertation is devoted to study of solvability and qualitative properties of solutions for capillary thin-film equations with nonlinear diffusion, convection and absorption. We get the upper bound for the speed of support propagation for an arbitrary strong solution for the Cauchy problem. A condition on the local behavior of initial data, to ensure appearance of the waiting time phenomenon of support propagation of solution, was obtained for arbitrary strong solution of the Cauchy problem for thin-film equation with nonlinear diffusion and absorption in multi-dimensional domains.

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Диссертация.pdf

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