Results 11 to 20 of about 43,282 (101)
Integration of D-dimensional 2-factor spaces cosmological models by reducing to the generalized Emden-Fowler equation [PDF]
, 1998 The D-dimensional cosmological model on the manifold $M = R \times M_{1} \times M_{2}$ describing the evolution of 2 Einsteinian factor spaces, $M_1$ and $M_2$, in the presence of multicomponent perfect fluid source is considered. The barotropic equation
A. Chodos +37 more
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Hydrodynamic Flows on Curved Surfaces: Spectral Numerical Methods for Radial Manifold Shapes
, 2018 We formulate hydrodynamic equations and spectrally accurate numerical methods for investigating the role of geometry in flows within two-dimensional fluid interfaces.
Atzberger, Paul J., Gross, Ben J.
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Hamiltonian structure of thermodynamics with gauge
, 2000 The state of a thermodynamic system being characterized by its set of extensive variables $q^{i}(i=1,...,n) ,$ we write the associated intensive variables $\gamma_{i},$ the partial derivatives of the entropy $ S(q^{1},...,q^{n}) \equiv q_{0},$ in the ...
F- Gif +4 more
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From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective
, 2018 In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the infinite dimensional case of continuum systems.
Gay-Balmaz, François +1 more
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Travelling waves in two-dimensional plane Poiseuille flow [PDF]
, 2015 The asymptotic structure of laminar modulated travelling waves in two-dimensional high-Reynolds-number plane Poiseuille flow is investigated on the upper-energy branch.
Smith, WR, Wissink, JG
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Swelling of particle-encapsulating random manifolds
, 2008 We study the statistical mechanics of a closed random manifold of fixed area and fluctuating volume, encapsulating a fixed number of noninteracting particles. Scaling analysis yields a unified description of such swollen manifolds, according to which the
D. M. Kroll +5 more
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Higher-order surface FEM for incompressible Navier-Stokes flows on manifolds
, 2018 Stationary and instationary Stokes and Navier-Stokes flows are considered on two-dimensional manifolds, i.e., on curved surfaces in three dimensions. The higher-order surface FEM is used for the approximation of the geometry, velocities, pressure, and ...
Fries, Thomas-Peter
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Fluid structure interaction with curved space lattice Boltzmann
, 2018 We present a novel method for fluid structure interaction (FSI) simulations where an original 2nd-order curved space lattice Boltzmann fluid solver (LBM) is coupled to a finite element method (FEM) for thin shells.
Debus, Jens-Daniel +5 more
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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.
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Basic Types of Coarse-Graining [PDF]
, 2006 We consider two basic types of coarse-graining: the Ehrenfests' coarse-graining and its extension to a general principle of non-equilibrium thermodynamics, and the coarse-graining based on uncertainty of dynamical models and Epsilon-motions (orbits). Non-
Gorban, A. N.
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