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The Existence and Uniqueness Theorem for Solution of Generalized Hydrodynamical Equation

2011/12/13 by V. O. Shtyk, Shtyk, V. O.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1112.2900

arxiv created 2011/12/13 · arxiv updated 2011/12/14

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.

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