Danevych T. Nonlinear mathеmatical media models with temporal and spatial non-localities

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U004257

Applicant for

Specialization

  • 01.04.01 - Фізика приладів, елементів і систем

03-09-2010

Specialized Academic Board

Д 41.052.06

Essay

The dissertation is devoted to construction and investigation of continual non-linear media models with intrinsic variables accounting the temporal and spatial non-locality. There are obtained non-linear dynamical equations of state, describing the structure manifestation on macrolevel. The hierarchy of nested non-linear models as the Tate equation, the Liahov equation of state with relaxation, the high orders equations of state with spatial and temporal non-localities, the generalized non-locality equations of state is obtained. In the context of constructed models the influence of a spatial non-locality on the characteristics of linear and non-linear wave processes has been investigation.

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