Regular solutions of the Navier-Stokes system.
Regular solutions of the stationary Navier-Stokes equations on ....
Régularité du problème de Kelvin–Helmholtz pour l’équation d’Euler 2D
Nous prouvons que pour toute solution du problème de Kelvin–Helmholtz des nappes de tourbillons pour l’équation d’Euler bi-dimensionnelle, définie localement en temps, la courbe de saut de et la densité de tourbillon sont analytiques (sous une hypothèse de régularité Holderienne de la courbe de saut). Nous donnons également un résultat de régularité partielle de la trace de sur lorsque est définie sur un demi-interval .
Régularité du problème de Kelvin–Helmholtz pour l'équation d'Euler 2d
Nous prouvons que pour toute solution u du problème de Kelvin–Helmholtz des nappes de tourbillons pour l'équation d'Euler bi-dimensionnelle, définie localement en temps, la courbe de saut de u et la densité de tourbillon sont analytiques (sous une hypothèse de régularité Holderienne de la courbe de saut). Nous donnons également un résultat de régularité partielle de la trace de u sur t=0 lorsque u est définie sur un demi-interval [O,T[.
Regularity criteria for the generalized viscous MHD equations
Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity
In this short note we give a link between the regularity of the solution to the 3D Navier-Stokes equation and the behavior of the direction of the velocity . It is shown that the control of in a suitable norm is enough to ensure global regularity. The result is reminiscent of the criterion in terms of the direction of the vorticity, introduced first by Constantin and Fefferman. However, in this case the condition is not on the vorticity but on the velocity itself. The proof, based on very...
Regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system
We prove a regularity criterion for a nonhomogeneous incompressible Ginzburg-Landau-Navier-Stokes system with the Coulomb gauge in . It is proved that if the velocity field in the Besov space satisfies some integral property, then the solution keeps its smoothness.
Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.
Regularity for 3D Navier-Stokes equations in terms of two components of the vorticity.
Regularity for solutions to the Navier-Stokes equations with one velocity component regular.
Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations
In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved.
Regularity of solutions to the Navier-Stokes equation.
Regularity of weak solutions of the Navier-Stokes equations near the smooth boundary.
Regularity properties of some Stokes operators on an infinite strip.
Regularity properties of the attractor to the Navier-Stokes equations
Existence of a global attractor for the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has been shown already. In this paper we prove the higher regularity of the attractor.
Relaxation schemes for the multicomponent Euler system
We show that it is possible to construct a class of entropic schemes for the multicomponent Euler system describing a gas or fluid homogeneous mixture at thermodynamic equilibrium by applying a relaxation technique. A first order Chapman–Enskog expansion shows that the relaxed system formally converges when the relaxation frequencies go to the infinity toward a multicomponent Navier–Stokes system with the classical Fick and Newton laws, with a thermal diffusion which can be assimilated to a Soret...
Relaxation schemes for the multicomponent Euler system
We show that it is possible to construct a class of entropic schemes for the multicomponent Euler system describing a gas or fluid homogeneous mixture at thermodynamic equilibrium by applying a relaxation technique. A first order Chapman–Enskog expansion shows that the relaxed system formally converges when the relaxation frequencies go to the infinity toward a multicomponent Navier–Stokes system with the classical Fick and Newton laws, with a thermal diffusion which can be assimilated to a Soret...
Remark on cavitation solutions of stationary compressible Navier-Stokes equations in one dimension
Remark on regularity of weak solutions to the Navier-Stokes equations.
Remark on regularity of weak solutions to the Navier-Stokes equations
Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space are regular.