D. Hoff, Global solutions of the Navier-Stokes equations for multidimen- sional compressible flow with discontinuous initial data, J. Diff. Eqs., vol 120, 215-254(1995).D. Hoff, Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data...
Hello, I don't know if this question belonged here or in General Physics, so I apologize if I made a mistake. My question is simple, what are the Navier-Stokes Equations for a Compressible Fluid? I don't mean from a conceptual point of view, what I mean are the mathematical equations...
We consider the equations which describe the motion of a viscous compressible fluid, taking into consideration the case of inflow and/or outflow through the boundary. By means of some a priori estimates we prove the existence of a global (in time) solution. Moreover, as a consequence of a...
2.1 Navier-Stokes equations The equations governing the flow of an unsteady, incompressible, viscous fluid are the continuity equation (1)∇·u=0 and the momentum (Navier-Stokes) equation (2)DuDt=−∇p+1Re∇2u The equations are written in vector form (from here on, boldface type symb...
We solve the inviscid limit problem for the Navier-Stokes equations for one-dimensional, isentropic, compressible flow with shock data. We prove that the solution exists for all time, that it converges to the inviscid shock as the viscosity tends to zero, uniformly away from the shock, and th...
The Navier-Stokes equations for incompressible fluid flows with impervious boundary and free surface are analyzed by means of a perturbation procedure involving dimensionless variables and a dimensionless perturbation parameter which is composed of kinematic viscosity of fluid, the acceleration of gravity and...
The zero-viscosity limit for an initial boundary value problem of the linearized Navier-Stokes equations of a compressible viscous fluid in the half-plane is studied. By means of the asymptotic analysis with multiple scales, we first construct an approximate solution of the linearized problem of th...
In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To ...
In order to achieve more accurate predictions of unsteady flow in a transonic compressor rotor an existing numerical approach has been modified by incorporating a turbulence model. The computations are performed by solving the complete time-dependent compressible Navier–Stokes equations using MacCormack'...
Weak solutions for the Stokes system for compressible fluids with general pressure Journal of Differential Equations, Volume 312, 2022, pp. 317-346 Maja Szlenk On a shallow-water approximation to the Green–Naghdi equations with the Coriolis effect Advances in Mathematics, Volume 340, 2018, pp. ...