Gauge Theoretic Approach to Fluid Dynamics
Subir Ghosh (Indian Statistical Inst., Calcutta)
TL;DR
This paper formulates the Hamiltonian dynamics of a compressible inviscid fluid as a gauge theory, enabling a unified approach to different physical problems and generating new solutions from existing fluid velocity profiles.
Contribution
It introduces a gauge theoretic framework for fluid dynamics, providing a novel perspective and methods for deriving solutions.
Findings
Unified treatment of fluid dynamics problems using gauge theory
Generation of new fluid solutions from known velocity profiles
Potential for applying gauge concepts to other fluid models
Abstract
The Hamiltonian dynamics of a compressible inviscid fluid is formulated as a gauge theory. The idea of gauge equivalence is exploited to unify the study of apparantly distinct physical problems and solutions of new models can be generated from known fluid velocity profiles.
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Taxonomy
TopicsFluid Dynamics and Vibration Analysis · Vibration and Dynamic Analysis · Fluid Dynamics Simulations and Interactions