Yuming Qin.Exponential stability for the compressible Navier-Stokes equations with the cylinder symmetry in R3. IMA J. Appl. Math . 2005Y. Qin, Exponential stability for the compressible Navier-Stokes equations, submitted.Yuming Qin.Exponential stability for the compressible Navier-Stokes equations ...
Haspot, B.: New formulation of the compressible Navier–Stokes equations and parabolicity of the density. Preprint hal-01081580. arXiv:1411.5501 , 11 (2014)B. Haspot. New formulation of the compressible navier-stokes equations and parabolicity of the density,. arXiv:1411.5501....
Solving the Compressible Navier-Stokes Equation The degree of difficulty in solving the compressible Navier-Stokes equation varies depending upon fluid properties and the dimensionality of the problem space. However, it is advisable to deploy a solver, such as the one shown i...
Kagei, Y. (2011). Global existence of solutions to the compressible Navier-Stokes equa- tion around parallel flows. J. Differential Equations., 251, pp.3248-3295.Y. Kagei, Global existence of solutions to the compressible Navier-Stokes equation around parallel flows, preprint....
An implicit finite difference scheme is developed for the numerical solution of the compressible Navier-Stokes equations in conservation-law form. The algorithm is second-order-time accurate, noniterative, and spatially factored. In order to obtain an efficient factored algorithm, the spatial cross-der...
Xin, Z.: Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density. Comm. Pure Appl. Math. 51, 229-240 (1998)Z.P. Xin, Blow-up of smooth solution to the compressible Navier-Stokes equations with compact density, Comm. Pure Appl. Math., 51(3)(1998)...
In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations, in particular, the viscosity coefficients depend on the density. Our main contribution is to further develop renormalized techniques so that the Mellet-Vasseur type inequality is not...
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...
The properties of a preconditioned, coupled, strongly implicit finite-difference scheme for solving the compressible Navier-Stokes equations in primitive variables are investigated for two unsteady flows at low speeds, namely the impulsively started driven cavity and the startup of pipe flow. For the ...
A new implicit stabilized formulation for the numerical solution of the compressible Navier–Stokes equations is presented. The method is based on the finite calculus (FIC) scheme using the Galerkin finite element method (FEM) on triangular grids. Via the FIC formulation, two stabilization terms, ...