Fokker - Planck equation for incompressible fluid
Igor A. Tanski
TL;DR
This paper derives the Fokker-Planck equation tailored for incompressible fluids and explores its properties, including symmetries and invariant solutions, contributing to the understanding of stochastic fluid dynamics.
Contribution
It introduces a novel Fokker-Planck formulation for incompressible fluids and analyzes its symmetries and solutions, advancing theoretical insights in stochastic fluid mechanics.
Findings
Derived Fokker-Planck equation for incompressible fluids
Identified symmetries of linearized equations
Presented examples of invariant solutions
Abstract
In this article we derive Fokker - Planck equation for incompressible fluid and investigate its properties. In version 2 symmetries of linearized equations and some examples of invariant solutions are added.
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Taxonomy
TopicsDiverse Scientific and Engineering Research · Statistical Mechanics and Entropy · Probabilistic and Robust Engineering Design