Boersma B. J., A staggered compact finite difference formulation for the compressible Navier-Stokes equations, Journal of Computational Physics 208, 675-690, 2005.Bendiks.A staggered compact finite difference f
We study the zero dissipation limit problem for the Navier-Stokes equations of one-dimensional compressible viscous heat-conducting fluids. We prove that if the solution of the inviscid Euler system is piecewise smooth with a 1-shock and a 3-shock issuing from the same point, there exists a ...
Kagei Y., Kobayashi T.: Asymptotic behavior of solutions to the compressible Navier–Stokes equations on the half space. Arch. Ration. Mech. Anal. 177 , 231–330 (2005)Kagei Y., Kobayashi T.: Asymptotic behavior of solutions of the compressible Navier–Stokes equation on the half space. ...
Ohwada, T., "Boltzmann schemes for the compressible Navier-Stokes equations," in Rarefied Gas Dynamics: AIP Conference Proceedings No. 585, edited by Bartel, T.J. and Gallis, M.A., (AIP, 2001), pp.321-328.Ohwada T.: Boltzmann schemes for the compressible Navier-Stokes equations. In: ...
equations in the whole space or in the torus. The present survey overviews results based on Fourier analysis and paradifferential calculus, for the compressible Navier-Stokes equations. Focus is on the initial value problem in the case where the fluid domain isRd(or the torus) withd ≥ 2...
Lions, very little was known about solutions of the compressible isentropic Navier-Stokes equations, at least when N 2. In 12] 13] 14] he proved a global existence Theorem and weak stability results for p ;a pressure laws under the following assumptions on the initial data 8 N N 0; < ...
An implicit stabilized finite element method for the compressible Navier–Stokes equations using finite calculusdoi:10.1007/s00466-015-1161-2High-speed compressible flowsNavier–Stokes equationsStabilized finite elementFinite calculusImplicit schemeA new implicit stabilized formulation for the numerical solution...
incompressible Euler equationsviscous two‐fluid modelwhole spaceIn this paper, we consider the combined quasi‐neutral and inviscid limits of the two‐fluid compressible Navier–Stokes–Poisson system in the unbounded domain R 2 × T with the ill‐prepared initial data. We prove that the weak ...
Some developments on Navier-Stokes Equations in the second half of the 20th 热度: Numerical methods for the Navier Stokes equations Applications to the simulation of compressible and incompressible viscous flows 热度: Analyticity of the inhomogeneous incompressible Navier-Stokes equations 热度: ...
Thus, in the present paper, we state existence of a smooth solution on the unbounded time interval for the analytic solution of the compressible Navier-Stokes (NS) equations (Eq. (1)), (Eq. (3)). This solution gives the possibility of a positive answer to the generalization of the defin...