Nombres de Reynolds, stabilité et Navier-Stokes
Non blow-up of the 3D ideal magnetohydrodynamics equations for a class of three-dimensional initial data in cylindrical domains.
Non dérivation des équations de Prandtl
Non existence of standing waves for hyperbolic Davey-Stewartson systems
Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force . We assume that is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if is a quasiperiodic function with respect to , then the attractor is a continuous image of a torus. Moreover the...
Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force g(x,t). We assume that g(x,t) is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if g(x,t) is a quasiperiodic function with respect to t, then the attractor is a continuous image...
Non-classical phase transitions at a sonic point.
Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids.
Nonclassical shock waves of conservation laws: Flux function having two inflection points.
Nonequilibrium reaction-diffusion structures in rigid and visco-elastic media : knots and unstable noninertial flows
Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow
Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation.
Nonhomogeneous boundary value problem for one-dimensional compressible viscous micropolar fluid model: Regularity of the solution.
Nonhomogeneous Cahn–Hilliard fluids
Nonisothermal Flow of Heated Liquid
Nonlinear and dynamic aerodynamic models for commercial transport aircraft with adverse weather effects.
Non-linear Chandrasekhar-Bénard convectionin temperature-dependent variable viscosity Boussinesq-Stokes suspension fluid with variable heat source/sink
The generalized Lorenz model for non-linear stability of Rayleigh-Bénard magneto-convection is derived in the present paper. The Boussinesq-Stokes suspension fluid in the presence of variable viscosity (temperature-dependent viscosity) and internal heat source/sink is considered in this study. The influence of various parameters like suspended particles, applied vertical magnetic field, and the temperature-dependent heat source/sink has been analyzed. It is found that the basic state of the temperature...
Nonlinear compressible vortex sheets in two space dimensions
We consider supersonic compressible vortex sheets for the isentropic Euler equations of gas dynamics in two space dimensions. The problem is a free boundary nonlinear hyperbolic problem with two main difficulties: the free boundary is characteristic, and the so-called Lopatinskii condition holds only in a weak sense, which yields losses of derivatives. Nevertheless, we prove the local existence of such piecewise smooth solutions to the Euler equations. Since the a priori estimates for the linearized...
Nonlinear diffraction of water waves by offshore structures.
Nonlinear diffusion from a delocalized source : affine self-similarity, time reversal, & nonradial focusing geometries