Add to ORKGNew conservation laws are obtained for the equations of dispersive continuum mechanics describing Euler-van der Waals-Korteweg's fluids, fluids containing small gas bubbles, and long-free surface gravity waves (Serre-Green-Naghdi equations). The corresponding mathematical models are characterized by the dependence of the energy on spatial and temporal derivatives of the density. In particular, analogs of helicity invariants are deduced
We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as descri...
Helicity is the scalar product between velocity and vorticity and, just like energy, its integral is...
The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the...
International audienceBy using the Hamilton principle of stationary action, we derive the governing ...
ABSTRACT. By means of a direct approach, a complete set of conservation laws for incompressible flui...
Starting from the continuum definition of helicity, we derive from first principles its different co...
The conserved vectors from a system of coupled Kortewegde Vries equations that have modelled the pro...
(Communicated by Yan Guo) Abstract. The purpose of this paper is to study the relations between dif-...
"It is clarified that the so-called ""helicity conservation law"" is never ""the conservation equati...
Our present understanding of statistical 3D turbulence dynamics in the large wave number limit (or s...
This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservat...
One of the main problems in statistical mechanics is the mathematical derivation, through space-tim...
The derivation of the equations of motion for liquid helium II usually involves the notional separat...
International audienceThis work is devoted to the numerical resolution in multidimensional framework...
Concepts of hydrodynamics and hydrodynamic modes are explored for dense fluids under conditions for ...
We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as descri...
Helicity is the scalar product between velocity and vorticity and, just like energy, its integral is...
The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the...
International audienceBy using the Hamilton principle of stationary action, we derive the governing ...
ABSTRACT. By means of a direct approach, a complete set of conservation laws for incompressible flui...
Starting from the continuum definition of helicity, we derive from first principles its different co...
The conserved vectors from a system of coupled Kortewegde Vries equations that have modelled the pro...
(Communicated by Yan Guo) Abstract. The purpose of this paper is to study the relations between dif-...
"It is clarified that the so-called ""helicity conservation law"" is never ""the conservation equati...
Our present understanding of statistical 3D turbulence dynamics in the large wave number limit (or s...
This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservat...
One of the main problems in statistical mechanics is the mathematical derivation, through space-tim...
The derivation of the equations of motion for liquid helium II usually involves the notional separat...
International audienceThis work is devoted to the numerical resolution in multidimensional framework...
Concepts of hydrodynamics and hydrodynamic modes are explored for dense fluids under conditions for ...
We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as descri...
Helicity is the scalar product between velocity and vorticity and, just like energy, its integral is...
The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the...