Stability of solitary wave solutions for equations of short and long dispersive waves.
Stabilization of a 1-D tank modeled by the shallow water equations
We consider a tank containing a fluid. The tank is subjected to a one-dimensional horizontal move and the motion of the fluid is described by the shallow water equations. By means of a Lyapunov approach, we deduce control laws to stabilize the fluid's state and the tank's position. Although global asymptotic stability is yet to be proved, we numerically simulate the system and observe the stabilization for different control situations.
Stagnation zones of ideal flows in long and narrow bands.
Statistical mechanics of the -point vortex system with random intensities on .
Steady vortex flows obtained from a constrained variational problem.
Steady vortex rings with swirl in an ideal fluid: asymptotics for some solutions in exterior domains
In this paper, the axisymmetric flow in an ideal fluid outside the infinite cylinder () where denotes the cylindrical co-ordinates in is considered. The motion is with swirl (i.e. the -component of the velocity of the flow is non constant). The (non-dimensional) equation governing the phenomenon is (Pd) displayed below. It is known from e.g. that for the problem without swirl ( in (f)) in the whole space, as the flux constant tends to , 1) ; ; 2) converges to a vortex cylinder (see...
Stream Vectors in Three Dimensional Aerodynamics.
Strichartz estimates for water waves
In this paper we investigate the dispersive properties of the solutions of the two dimensional water-waves system with surface tension. First we prove Strichartz type estimates with loss of derivatives at the same low level of regularity we were able to construct the solutions in [3]. On the other hand, for smoother initial data, we prove that the solutions enjoy the optimal Strichartz estimates (i.e, without loss of regularity compared to the system linearized at ()).
Study of some properties of ocean waves using random models.
Sul decadimento delle onde di accelerazione in un fluido non viscoso entro una teoria termodinamica non-stazionaria
In according to a recent thermodynamic theory proposed by G. Grioli, we consider the growth of acceleration waves in a non viscous fluid. We determine the solutions for the growth of a plane or spherical wave advancing into the fluid in mechanical but not in thermal equilibrium.
Sul decadimento delle onde di accelerazione in un fluido non viscoso entro una teoria termodinamica non stazionaria
In according to a recent thermodynamic theory proposed by G. Grioli we consider the growth of acceleration waves in a non viscous fluid. We determine the solutions for the growth of a plane or spherical wave advancing into the fluid in mechanical but not in thermal equilibrium.
Sur la propagation de quasi-singularités
Sur la régularité des ondes progressives à la surface de l'eau
Il a été établi par H. Lewy (1952) qu’une surface libre hydrodynamique qui est au moins dans un voisinage d’un point à la surface libre, est automatiquement , éventuellement dans un voisinage plus petit de . Ce résultat local est un exemple qui précédait la théorie dévelopée par D. Kinderlehrer, L. Nirenberg et J. Spruck (1977 - 79) démontrant que dans beaucoup de cas, des surfaces libres ne peuvent pas être d’une régularité arbitraire, et en particulier ils existent tels que, si la surface...
Sur la stabilisation des fluides parfaits incompressibles bidimensionnels
Sur le mouvement des particules d'un fluide parfait incompressible bidimensional.
Sur l’écoulement d’un fluide dans un canal avec obstacle au fond
Nous considérons dans ce travail l’écoulement d’un fluide dans un canal plat avec un obstacle au fond. Cet obstacle génère une surface libre qui n’est plus horizontale, comme c’est le cas sans obstacle. Nous montrons que, dans le cas sur critique, si l’obstacle n’est pas trop élevé, il y a une solution et une seule. Nous donnons des indications pour le cas sous critique et pour le problème numérique.
Sur quelques résultats récents de mécanique des fluides
Surface water waves due to an oscillatory wavemaker in the presence of surface tension.
Surge motion on a floating cylinder in water of finite depth.
Système d'Euler incompressible et régularité microlocale analytique