Results 1 to 10 of about 44,398 (209)

Remarks on Geometric Mechanics [PDF]

, 1994
This paper gives a few new developments in mechanics, as well as some remarks of a historical nature. To keep the discussion focused, most of the paper is confined to equations of "rigid body", or "hydrodynamic" type on Lie algebras or their duals.
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

Bridging the computational gap between mesoscopic and continuum modeling of red blood cells for fully resolved blood flow

, 2019
We present a computational framework for the simulation of blood flow with fully resolved red blood cells (RBCs) using a modular approach that consists of a lattice Boltzmann solver for the blood plasma, a novel finite element based solver for the ...
Chopard, Bastien, Kotsalos, Christos, Latt, Jonas   +2 more
core   +2 more sources

Poisson integrators

, 2004
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Hamiltonian ode's, pde's and lattice equations are presented. Numerical integrators using generating functions, Hamiltonian splitting, symplectic Runge-Kutta
Karasözen, B.
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  

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  

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  

Searching for physical principles of morphogenesis. [PDF]

Development
Claussen N, Brauns F, Streichan SJ.
europepmc   +1 more source

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