Hydrodynamic Equations for Microscopic Phase Densities
V.I. Gerasimenko, V.O. Shtyk, A.G. Zagorodny
TL;DR
This paper introduces evolution equations for microscopic phase densities and derives their average values, providing a hydrodynamic hierarchy solution for initial-value problems in microscopic systems.
Contribution
It presents new hydrodynamic equations for microscopic phase densities and constructs solutions for their initial-value problems.
Findings
Derived evolution equations for microscopic phase densities
Established a hierarchy for hydrodynamic type equations
Constructed solutions for initial-value problems
Abstract
The evolution equations for the generalized microscopic phase densities are introduced. The evolution equations of average values of microscopic phase densities are derived and a solution of the initial-value problem of the obtained hydrodynamic type hierarchy is constructed.
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