Three-dimensional nonlinear evolution equations of pseudoparabolic type in problems of mathematical physics. IIстатья
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Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:1942
Последняя страница:1948
Аннотация:We consider a mathematical model for real three-dimensional evolution processes, both dissipative and wave ones, for some problems of mathematical physics. We show that all these models are described by three-dimensional nonlinear evolution equations of pseudoparabolic type. We take into account the spatial dispersion of the electromagnetic media considered. The resulting three-dimensional model equations are of higher order with respect to the space variables, for example, of order four, or are nonlocal. Some of them are wave equations, and the other ones are dissipative. In many cases, they are nonlinear.