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Incompressible Euler equation

The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view

The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view

... Camassa-Holm equation in polar coordinates transforms it into an incompressible Euler ...the incompressible Euler equation is a generalization of the Camassa-Holm ...

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Time-convexity of the entropy in the multiphasic formulation of the incompressible euler equation

Time-convexity of the entropy in the multiphasic formulation of the incompressible euler equation

... INCOMPRESSIBLE EULER EQUATION HUGO LAVENANT A BSTRACT ...the incompressible Euler equation introduced by Brenier: infinitely many phases evolve according to the compressible ...

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Embedding Camassa-Holm equations in incompressible Euler

Embedding Camassa-Holm equations in incompressible Euler

... last equation can also be written as an advection equation ∂tρ + h∇ρ, ui = 0 since divg(u) = ...Boussinesq equation when the potential is due to ...the incompressible Euler ...

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Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches

Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches

... Abstract. In this paper, we consider the two-dimensional Euler equation in a bounded domain Ω, with a boundary control located on an arbitrary part of the boundary. We prove that, given two Jordan curves ...

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Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method

Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method

... to solve the fully implicitly Euler scheme associated to the unsteady Navier- Stokes equation. When the time discretization is fine enough, each step of the damped Newton method simply reduced to the ...

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TD-Info4-Euler

TD-Info4-Euler

... L’objectif de cette séance est la résolution numérique des trajectoires de différents objets (projectile, satellite, particule) en utilisant la méthode d’Euler.. En effet[r] ...

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Manufactured solutions for one-equation turbulence models in a two-dimensional steady wall-bounded incompressible turbulent flow

Manufactured solutions for one-equation turbulence models in a two-dimensional steady wall-bounded incompressible turbulent flow

... Figure 11: Convergence of the RMS of the error of ˜ν t with the grid refinement in the grid sets Eq, ST1 and ST2. Menter one-equation model. • There is a large percentage of the local solutions that shows a value ...

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From Vlasov–Poisson and Vlasov–Poisson–Fokker–Planck Systems to Incompressible Euler Equations: the case with finite charge

From Vlasov–Poisson and Vlasov–Poisson–Fokker–Planck Systems to Incompressible Euler Equations: the case with finite charge

... Lake Equation (LE) instead of the mere incompressible Euler system, since now the equilibrium distribution n e is ...Lake Equation (LE): we may refer to the works [26], [33] (when the domain Ω ...

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Extension polydisperse pour la description Euler-Euler des écoulements diphasiques réactifs

Extension polydisperse pour la description Euler-Euler des écoulements diphasiques réactifs

... description Euler-Euler polydisperse en Simulation de Grandes Echelles (SGE) bas´ ee sur le transport d’´ equation de mo- ments puisse repr´ esenter un apport ...

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From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data

From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data

... the Euler Korteweg system in dimension N ≥ 3, also called compressible Euler system with quantum ...Gross-Pitaevskii equation through the Madelung ...Gross-Pitaevskii equation due to ...

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A conservative penalisation strategy for the semi-implicit time discretisation of incompressible elastodynamics equation

A conservative penalisation strategy for the semi-implicit time discretisation of incompressible elastodynamics equation

... pure incompressible elasticity (living tissues, biomaterials), a great effort has been made in the last forty years to provide accurate Finite Element Method (FEM) formulations for the approximation of elasticity ...

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Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation

Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation

... Prandtl’s equation depends crucially on the choice of the underlying function spaces, especially on the regularity in the tangential vari- able ...Prandtl equation proved by ...

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Simpler Variational Problem for Statistical Equilibria of the 2D Euler Equation and Other Systems with Long Range Interactions

Simpler Variational Problem for Statistical Equilibria of the 2D Euler Equation and Other Systems with Long Range Interactions

... 2. The link between (CVP) and RSM equilibria pro- vides a further justification for studying (CVP). 3. Based on statistical mechanics arguments, when looking at the Euler evolution on a coarse-grained level, it ...

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Bounded Solutions in Incompressible Hydrodynamics

Bounded Solutions in Incompressible Hydrodynamics

... the Euler equations, one cannot repeat this operation because the pressure term ∇π may well not be regular with respect to ...the Euler problem even if f (t) is not C 1 ...

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WELL-POSEDNESS AND EXPONENTIAL DECAY FOR THE EULER-BERNOULLI BEAM CONVEYING FLUID EQUATION WITH NON-CONSTANT VELOCITY AND DYNAMICAL BOUNDARY CONDITIONS

WELL-POSEDNESS AND EXPONENTIAL DECAY FOR THE EULER-BERNOULLI BEAM CONVEYING FLUID EQUATION WITH NON-CONSTANT VELOCITY AND DYNAMICAL BOUNDARY CONDITIONS

... Figure 1. The figure represents the displacement of a flexible pipe which conveys a moving fluid. authors consider the problem of a flexible marine riser and they compute the equation via a suitable energy ...

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Hedgehog theory via Euler calculus

Hedgehog theory via Euler calculus

... 1 A 1 B = 1 A+B , where denotes the convolution product with respect to the Euler characteristic and A + B the usual Minkowski sum of A and B. After introducing appropriate de…nitions in the framework of ‘analytic ...

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Étude théorique et numérique de la modélisation instationnaire des écoulements turbulents anisothermes gaz-particules par une approche Euler-Euler

Étude théorique et numérique de la modélisation instationnaire des écoulements turbulents anisothermes gaz-particules par une approche Euler-Euler

... energy equation of the dispersed phase. This equation describes the evolution of the mesoscopic temperature of a cloud of particles interacting with a non-isothermal turbulent flow and modeled in the ...

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Fast waves and incompressible models

Fast waves and incompressible models

... Some Comments and open questions on 2-phase flows General initial data : Single phase flows : possible to separate acoustic from incompressible Two-phase flows : Is it possible (even for 4 equations model) ? ...

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Direct Numerical Simulation of polydisperse evaporating sprays in 3D jet configuration using Euler-Euler and Euler-Lagrange formalisms

Direct Numerical Simulation of polydisperse evaporating sprays in 3D jet configuration using Euler-Euler and Euler-Lagrange formalisms

... 3D jet configuration using Euler-Euler and Euler-Lagrange formalisms 349 Figure 2. Iso-contour of the gas vorticity field at time t = 32 ms. The four cut planes used for the statistics are ...

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From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data

From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data

... the Euler Korteweg system has been studied by Benzoni, Danchin and Descombes in [5] where they prove for general capillary coefficient the existence of strong solution in finite time for large data when (ρ 0 − 1, ...

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