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Galdi G., Maremonti P., Zhou Y.: On the Navier Stokes problem in exterior domains with non decaying initial data. J. Math. Fluid Mech. 14 , 633–652 (2012) MathSciNet ADS MATHOn the Navier-Stokes problem in exterior domains with non decaying initial data - Galdi, Maremonti, et al...
The Navier problem is to find a solution of the steady-state Navier–Stokes equations such that the normal component of the velocity and a linear combination of the tangential components of the velocity and the traction assume prescribed value a and s at the boundary. If Ω is exterior it is...
首先构造非均匀不可压缩Navier-Stokes方程满足正则化初值的近似解,并对近似解作一致估计,然后将近似解过渡到极限,从而证明了方程存在满足局部能量不等式的弱解. Firstly, approximated solutions satisfying the regularized initial data are construct... 朱道宇 Zdy - 《云南民族大学学报:自然科学版》 被引量: 0发表...
The Navier problem is to find a solution of the steady-state Navier–Stokes equations such that the normal component of the velocity and a linear combination of the tangential components of the velocity and the traction assume prescribed value a and s at the boundary. If Ω is exterior it is...
38.2.2 Terms in the Navier-Stokes Equations Advection The velocity of a fluid causes the fluid to transport objects, densities, and other quantities along with the flow. Imagine squirting dye into a moving fluid. The dye is transported, oradvected, along the fluid's velocity field. ...
We study the problem of global well-posedness and stability in the scale invariant Besov spaces for the modified 3D Navier-Stokes equations with the dissipation term, −Δu replaced by (−Δ)αu,0⩽α<54. We prove the unique existence of a global-in-time solution in B2,152−2α ...
Navier--Stokes equations to a nonlinear boundary-value problem, the solution of which exhibits an interesting structure in the limit of large Reynolds ... C Saunders - 《University of Manchester》 被引量: 0发表: 2014年 Vanishing viscosity limits for the degenerate lake equations with Navier bound...
The two-phase free boundary problem for the Navier-Stokes system is considered in a situation where the initial interface is close to a halfplane. By means... J Pruess,G Simonett - 《Interfaces & Free Boundaries》 被引量: 155发表: 2009年 On the zero-viscosity limit of the Navier–Stokes...
In this paper, we model the fluid by the ‘surface Navier–Stokes equations’ on \Sigma , using as constitutive law the Boussinesq–Scriven surface stress tensor [Math Processing Error] (1.1) where \mu _s is the surface shear viscosity, \lambda _s the surface dilatational viscosity, u the...