Geometry of generalized fluid flows
From MaRDI portal
Publication:6140821
DOI10.1007/s00526-023-02612-5zbMath1529.35356arXiv2206.01434OpenAlexW4388830943MaRDI QIDQ6140821
Boris A. Khesin, Anton Izosimov
Publication date: 2 January 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.01434
Three or more component flows (76T30) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Pseudogroups and differentiable groupoids (58H05) Foundations of fluid mechanics (76A02) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Unnamed Item
- Geometry of diffeomorphism groups, complete integrability and geometric statistics
- Riemannian geometry of Lie algebroids
- Generalized fluid flows, their approximation and applications
- A homogenized model for vortex sheets
- Topological methods in hydrodynamics
- Vortex sheets and diffeomorphism groupoids
- A variational interpretation of general relativity in a vacuum in terms of optimal transport
- Optimal transport of vector measures
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Poisson structures and their normal forms
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids
- Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
- On Optimal Transport of Matrix-Valued Measures
- ON THE GEOMETRY OF THE GROUP OF DIFFEOMORPHISMS AND THE DYNAMICS OF AN IDEAL INCOMPRESSIBLE FLUID