This paper deals with the 2D incompressible Navier–Stokes equations with density-dependent viscosity over bounded domains. The global existence of strong solutions is established in the vacuum cases, provided
In this paper, we consider the 2D incompressible Navier-Stokes equations on the torus. It is well known that for anyL2divergence-free initial data, there exists a global smooth solution that is unique in the class ofCtL2weak solutions. We show that such uniqueness would fail in the classCtL...
We study a velocity–vorticity scheme for the 2D incompressible Navier–Stokes equations, which is based on a formulation that couples the rotation form of the momentum equation with the vorticity equation, and a temporal discretization that stably decouples the system at each time step and allows ...
Theprojection methodis an effective means ofnumericallysolving time-dependentincompressible fluid-flowproblems. It was originally introduced byAlexandre Chorinin 1967 as an efficient means of solving the incompressibleNavier-Stokes equations. The key advantage of the projection method is that the computations...
If (1.8) is proved, it is an improvement of the work by Jiang–Ou [23] and it reveals some connection between the compressible and incompressible Navier–Stokes equations, since global strong solution with vacuum has been proved for 2D incompressible case [27]. The question is we cannot get...
^abY . Maday and A. T. Patera. Spectral-element methods for the incompressible Navier-Stokes equations. In State of the art survey in computational mechanics, pages 71–143, 1989. A. K. Noor and J. T. Oden editors. ^abG. Seriani and E. Priolo. A spectral element method for acoustic...
Second, we will apply the principle of conservation of momentum to the control volume. This is slightly more abstract and complex compared to the previous case but eventually, this reduces to the incompressible Navier-Stokes equations. ∂u∂t+u∂u∂x+v∂u∂y=−1ρ∂p∂x+ν(...
for time-quasi-periodic solutions of the incompressible navier–stokes equations on the two-dimensional torus \({\mathbb {t}}^2\) , with a small time-quasi-periodic external force. more precisely, we construct solutions of the forced navier–stokes equation, bifurcating from a given time quasi...
L1. In the first part of the present paper, we are concerned with the regularity of solutions (v,Q) of the two-dimensional incompressible Navier–Stokes equations {vt+(v⋅∇)v=Δv+∇Q+f(x,t),∇⋅v=0,x∈Ω,t∈(0,T),v=0,x∈∂Ω,t∈(0,T), ...
Navier-Stokes方程组是描述不可压缩的粘性流体运动的数学模型,具有很强的应用背景。 更多例句>> 4) two dimensional incompressible Navier Stokes equation 二维不可压Navier-Stokes方程 5) D Navier Stokes equation attractor 二维Navier-Stokes方程的吸引子 ...