2D Euler equation
Fluctuations of large-scale jets in the stochastic 2D Euler equation
... The paper is organised as follows. In section 2 we briefly recap the theoretical framework originally devel- oped in ( Bouchet et al. 2013 ): the effective evolution equation for the jet velocity profile is given ...
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Simpler Variational Problem for Statistical Equilibria of the 2D Euler Equation and Other Systems with Long Range Interactions
... (SFVP) Such (SFVP) functionals have been used to prove the existence of solutions to the equation describing criti- cal points of (MVP) [10]. Interestingly, for the Quasi- geostrophic model, in the limit of small ...
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Global regularity and convergence of a Birkhoff-Rott-α approximation of the dynamics of vortex sheets of the 2D Euler equations
... the Euler equations, as a problem of evolution of the vorticity, which is concentrated as a measure along a surface of codimension ...the 2D incompressible Euler equation for the vortex sheet ...
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On the global well-posedness of the 2D Euler equations for a large class of Yudovich type data
... the 2D Euler equation with non Lipschitzian velocity was initi- ated by Yudovich in [19] where a result of global well-posedness for essentially bounded vorticity is ...
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GLOBAL, LOCAL AND DENSE NON-MIXING OF THE 3D EULER EQUATION
... two-dimensional Euler equation on the cylinder S 1 × R, as well as with the results on wandering solutions of the 2D Euler equation [20, 22] discussed ...
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On the inviscid limit of the 2D Euler equations with vorticity along the $(LMO^\alpha)_\alpha$ scale
... The same holds for the fractional Navier-Stokes equations ( 1.2 ). The remainder of this paper is organized as follows. In the next section we describe some preliminaries about functional spaces and how they appear in ...
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Efficient MATLAB codes for the 2D/3D Stokes equation with the mini-element
... ISIMA, Campus des C´ ezeaux – BP 10125, 63173 Aubi` ere cedex, France November 1, 2018 Abstract We propose a fast MATLAB implementation of the mini-element (i.e. P 1-Bubble/P 1) for the finite element approximation of ...
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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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Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches
... Dans cet article, nous consid´erons l’´equation d’Euler des fluides parfaits incompressibles dans un domaine born´e bidimensionnel, avec un contrˆ ole fronti`ere localis´e sur une partie arbitraire du bord. Nous ...
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Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method
... based on Y 1 n+1 and initialized with y n . Adapting the global convergence result of Section 2, we then show, assuming ku 0 k L 2 (Ω) d + kF k L 2 (0,T ;H −1 (Ω) d ) small enough, the strong convergence of the ...
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The Hartree equation for infinitely many particles. II. Dispersion and scattering in 2D
... In the density matrix formalism, the number of particles in the system is given by Tr γ. It is clear that Tr γ f = +∞ in the previous examples since γ f is a translation-invariant (hence non-compact) operator. Because ...
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From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data
... Plan of the paper In the section 3 we introduce the main technical tools (functional spaces, Strichartz estimates, bilinear product and paraproduct) that are required for the proof of theorem 2.5 and 2.4. In section 4 we ...
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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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A structure-preserving Partitioned Finite Element Method for the 2D wave equation
... Grenoble Alpes, LCIS, F-26902, Valence, France e-mail: laurent.lefevre@lcis.grenoble-inp.fr Abstract: Discretizing open systems of conservation laws while preserving the power-balance at[r] ...
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A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime
... (β l,1 , β l,3 , β l,3 ) and (γ l,1 , γ l,2 , γ l,3 ) are respectively the barycentric coordinates of the vectors e x and e y with respect to the control triangle. In the case where V l belongs to an angle different from ...
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From Gross-Pitaevskii equation to Euler Korteweg system, existence of global strong solutions with small irrotational initial data
... Plan of the paper In the section 3 we introduce the main technical tools (functional spaces, Strichartz estimates, bilinear product and paraproduct) that are required for the proof of theorem 2.5 and 2.4. In section 4 we ...
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Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure
... Afterwards, we found that for activated as well as for inhibited migration assays, many of the cell-sheet dynamics could not be well captured by the mathematical model. Indeed, it is not surprising that accelerating or ...
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Comparaison de modèles hydrodynamiques bidimensionnels : SRH-2D, HYDRO_AS-2D et HSL-2D
... Using 2D Modeling and Automatic Calibration L’article 1 présente l’acquisition de données expérimentales et les met à disposition afin de permettre la validation de modèles ...
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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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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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