A Hamiltonian formalism for hydrodynamics of ideal fluids is developed with the help of Seliger and Whitham's variational principle. It is shown that a density distribution function in the phase space of the mass-density, momentum-density and energy-density fields obeys a Liouville-equation. 1
FAPESP, the Sao Paulo State Research Foundation[04/04611-5]CNPq, the Brazilian National Research Cou...
The goal of this paper is to investigate the foundations of the mathematical modelling for turbolent...
This note is an introduction to the variational formulation of fluid dy-namics and the geometrical s...
The hydrodynamical equations for an ideal fluid with vorticity are derived, in the Eulerian picture,...
The Hamiltonian viewpoint of fluid mechanical systems with few and infinite number of degrees of fre...
A new Hamiltonian density formulation of a perfect fluid with or without a magnetic field is present...
Summary A variational formulation is given for flows of a compressible ideal fluid by defining a Gal...
The book describes Fluid Dynamics, Magnetohydrodynamics, and Classical Thermodynamics as branches of...
I. One-dimensional systems of hydrodynamic type. Poisson brackets and Riemannian geometry. From a pu...
The velocity-potential version of the hydrodynamics of a relativistic perfect fluid is put into Hami...
A variational principle is proposed that allows to derive the equations of motion for a fluid with a...
We prove existence and uniqueness for solutions to Liouville's equation for Hamiltonians of bounded ...
We suggest the Hamiltonian approach for fluid mechanics based on the dynamics, formulated in terms o...
This thesis is devoted to the description of fluids and gases from a Hamiltonian point of view. The ...
The first part of this thesis is concerned with certain extensions of a formal technique devised by ...
FAPESP, the Sao Paulo State Research Foundation[04/04611-5]CNPq, the Brazilian National Research Cou...
The goal of this paper is to investigate the foundations of the mathematical modelling for turbolent...
This note is an introduction to the variational formulation of fluid dy-namics and the geometrical s...
The hydrodynamical equations for an ideal fluid with vorticity are derived, in the Eulerian picture,...
The Hamiltonian viewpoint of fluid mechanical systems with few and infinite number of degrees of fre...
A new Hamiltonian density formulation of a perfect fluid with or without a magnetic field is present...
Summary A variational formulation is given for flows of a compressible ideal fluid by defining a Gal...
The book describes Fluid Dynamics, Magnetohydrodynamics, and Classical Thermodynamics as branches of...
I. One-dimensional systems of hydrodynamic type. Poisson brackets and Riemannian geometry. From a pu...
The velocity-potential version of the hydrodynamics of a relativistic perfect fluid is put into Hami...
A variational principle is proposed that allows to derive the equations of motion for a fluid with a...
We prove existence and uniqueness for solutions to Liouville's equation for Hamiltonians of bounded ...
We suggest the Hamiltonian approach for fluid mechanics based on the dynamics, formulated in terms o...
This thesis is devoted to the description of fluids and gases from a Hamiltonian point of view. The ...
The first part of this thesis is concerned with certain extensions of a formal technique devised by ...
FAPESP, the Sao Paulo State Research Foundation[04/04611-5]CNPq, the Brazilian National Research Cou...
The goal of this paper is to investigate the foundations of the mathematical modelling for turbolent...
This note is an introduction to the variational formulation of fluid dy-namics and the geometrical s...