A Spray Theory for the Geometric Method in Hydrodynamics
Emanuel Ciprian Cismas
TL;DR
This paper develops a spray theory essential for applying the geometric method in hydrodynamics, utilizing convenient calculus to unify and extend previous approaches.
Contribution
It introduces a comprehensive spray theory for hydrodynamics using convenient calculus, building on and unifying prior work by Michor and Kriegl.
Findings
Provides a foundational spray framework for hydrodynamics.
Completes a unified approach to the geometric method.
Facilitates future research in geometric hydrodynamics.
Abstract
We present a brief spray theory necessary for the geometric method in hydrodynamics. We make use of the convenient calculus to complete a unitary approach started by P. Michor and A. Kriegl.
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Taxonomy
TopicsNonlinear Waves and Solitons · Quantum chaos and dynamical systems · Algebraic and Geometric Analysis