Results 21 to 30 of about 43,282 (101)

Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape

, 2017
Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow to a two ...
A.M. Mancho, B. Maelfeyt, B. Sandstede, C. C. Martens, C. Jaffé, C. Jaffé, D. Babyuk, D. Beigie, D. Beigie, D. G. Dritschel, E. E. Zotos, E. E. Zotos, F. A. McRobie, F. Lekien, Francois Lekien, H. Aref, H. Aref, J. Duan, J. O’Rourke, J.M.T. Thompson, K. A. Mitchell, K. A. Mitchell, K. A. Mitchell, M. Dellnitz, M. I. Shamos, M. Toda, M.A. Sepulveda, R. Barrio, R. E. Gillilan, R. S. Mackay, S. Balasuriya, S. Balasuriya, S. Balasuriya, S. Wiggins, S. Wiggins, Sh. D. Ross, Sh. Naik, Shane D. Ross, Shibabrat Naik, V. Rom-Kedar, V. Rom-Kedar, V. Rom-Kedar, W. S. Koon, W. S. Koon, W. S. Koon   +44 more
core   +1 more source

Cascades and transitions in turbulent flows

, 2018
Turbulence is characterized by the non-linear cascades of energy and other inviscid invariants across a huge range of scales, from where they are injected to where they are dissipated.
Alexakis, A., Biferale, L.
core   +1 more source

Geometry of the Madelung transform

, 2018
The Madelung transform is known to relate Schr\"odinger-type equations in quantum mechanics and the Euler equations for barotropic-type fluids. We prove that, more generally, the Madelung transform is a K\"ahler map (i.e.
Khesin, Boris, Misiolek, Gerard, Modin, Klas   +2 more
core   +1 more source

A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher order linking numbers

, 2019
In this article a homotopy co-momentum map (\`a la Callies-Fr\'egier-Rogers-Zambon) trangressing to the standard hydrodynamical co-momentum map of Arnol'd, Marsden and Weinstein and others is constructed and then generalized to a special class of ...
Miti, Antonio Michele, Spera, Mauro
core  

Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation

, 2003
We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the {\it Euler-Poincar\'e equations associated with the diffeomorphism group (of $\mathbb{R}^n$ or an $n$-dimensional manifold $M$)}. Our main focus will
Holm, Darryl D., Marsden, Jerrold E.
core  

A Nonlinear Analysis of the Averaged Euler Equations

, 1998
This paper develops the geometry and analysis of the averaged Euler equations for ideal incompressible flow in domains in Euclidean space and on Riemannian manifolds, possibly with boundary.
Holm, Darryl D., Kouranbaeva, Shinar, Marsden, Jerrold E., Ratiu, Tudor, Shkoller, Steve   +4 more
core   +1 more source

A new approach to Kaluza-Klein Theory

, 2017
We propose in this paper a new approach to the Kaluza-Klein idea of a five dimensional space-time unifying gravitation and electromagnetism, and extension to higher-dimensional space-time.
Collion, Stephane, Vaugon, Michel
core  

Jean-Marie Souriau's Symplectic Foliation Model of Sadi Carnot's Thermodynamics. [PDF]

Entropy (Basel)
Barbaresco F.
europepmc   +1 more source

Kinetic Theory with Casimir Invariants-Toward Understanding of Self-Organization by Topological Constraints. [PDF]

Entropy (Basel)
Yoshida Z.
europepmc   +1 more source

The Port-Hamiltonian Structure of Continuum Mechanics. [PDF]

J Nonlinear Sci
Rashad R, Stramigioli S.
europepmc   +1 more source