AbstractMotivated from Arnold's variational characterization of the Euler equation in terms of geodesic families of diffeomorphisms, a variational principle for the motion of incompressible viscous fluids is presented. A volume preserving diffusion process with drift velocity field subject to the Navier-Stokes equation is shown to extremize the energy functional of the fluid under a certain class of stochastic variations
Abstract:- An approach to modeling channel and pipe flows of incompressible viscous fluid based on a...
The paper describes a finite element formulation of the incompressible viscous fluid without inertia...
In this article we study a variational formulation, proposed by V. I. Arnold and by Y. Brenier, for ...
AbstractMotivated from Arnold's variational characterization of the Euler equation in terms of geode...
Summary A variational formulation is given for flows of a compressible ideal fluid by defining a Gal...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
AbstractWe prove a variational principle for stochastic flows on manifolds. It extends V.I. Arnoldʼs...
The hydrodynamical equations for an ideal fluid with vorticity are derived, in the Eulerian picture,...
We review and connect different variational principles that have been proposed to settle the dynamic...
A variational principle is derived for two-dimensional incompressible rotational fluid flow with a ...
We present a new variational framework for dissipative general relativistic fluid dynamics. The mode...
Abstract. In this note we report on a new variational principle for Gradient Flows in metric spaces....
Abstract. In this article we study a variational formulation, proposed by V. I. Arnold and by Y. Bre...
For physical systems, the dynamics of which is formulated within the framework of Lagrange formalism...
The work described here shows that the known variational principle for the Navier- Stokes equations ...
Abstract:- An approach to modeling channel and pipe flows of incompressible viscous fluid based on a...
The paper describes a finite element formulation of the incompressible viscous fluid without inertia...
In this article we study a variational formulation, proposed by V. I. Arnold and by Y. Brenier, for ...
AbstractMotivated from Arnold's variational characterization of the Euler equation in terms of geode...
Summary A variational formulation is given for flows of a compressible ideal fluid by defining a Gal...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
AbstractWe prove a variational principle for stochastic flows on manifolds. It extends V.I. Arnoldʼs...
The hydrodynamical equations for an ideal fluid with vorticity are derived, in the Eulerian picture,...
We review and connect different variational principles that have been proposed to settle the dynamic...
A variational principle is derived for two-dimensional incompressible rotational fluid flow with a ...
We present a new variational framework for dissipative general relativistic fluid dynamics. The mode...
Abstract. In this note we report on a new variational principle for Gradient Flows in metric spaces....
Abstract. In this article we study a variational formulation, proposed by V. I. Arnold and by Y. Bre...
For physical systems, the dynamics of which is formulated within the framework of Lagrange formalism...
The work described here shows that the known variational principle for the Navier- Stokes equations ...
Abstract:- An approach to modeling channel and pipe flows of incompressible viscous fluid based on a...
The paper describes a finite element formulation of the incompressible viscous fluid without inertia...
In this article we study a variational formulation, proposed by V. I. Arnold and by Y. Brenier, for ...
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