The Existence and Uniqueness Theorem for Solution of Generalized Hydrodynamical Equation
Mathematical Physics
2011-12-14 v1 math.MP
Abstract
On the basis of the sequence of marginal observables the evolution equations of the microscopic phase density and its generalizations is discussed. We introduced dual BBGKY hierarchy for these microscopic observables and their average values. In the space of integrable functions, for initial-value problem of generalized hydrodynamical equation the existence and uniqueness theorem is proved.
Cite
@article{arxiv.1112.2900,
title = {The Existence and Uniqueness Theorem for Solution of Generalized Hydrodynamical Equation},
author = {V. O. Shtyk},
journal= {arXiv preprint arXiv:1112.2900},
year = {2011}
}