Thus, only the presence of terms with second derivatives in the marching coordinate, which specify the elliptical properties of the complete system of Navier–Stokes equations, distinguish it from the generalized viscous shock layer equations, which do not contain these terms. Slip and a temperature...
Eq. (2.55) provides a Dirichlet condition for the pressure, thus establishing a unique solution for the Navier-Stokes equations. Although the effects of meteorological conditions become important in large-scale circulation flows, it is reasonable to assume, as a first approximation, that the ...
mixing of the micro- and macroscale within the self-consistent method can be taken as a point of criticism [14]. A further disadvantage of the self-consistent model is the lack of direct interaction between the matrix and the inclusion [23,45]. In contrast, within the generalized self-consi...
a port-Hamiltonian formulation is provided for the two-dimensional rotational shallow water equations with viscous damping. Both tangential and normal boundary port variables are introduced. Then, the corresponding weak form is derived and a partitioned finite element method is applied to...
The time evolution of the fluid density f = f ( t , x ) and the velocity u f = u f ( t , x ) is governed by the Navier-Stokes system of equationssatisfied in a region Q f of the space-time occupied by the fluid. We focus on linearly viscous (Newtonian) incompressible fluids ...
We develop a shock- and interface-capturing numerical method that is suitable for the simulation of multicomponent flows governed by the compressible Navier–Stokes equations. The numerical method is high-order accurate in smooth regions of the flow, discretely conserves the mass of each component, ...
Dynamic density functional theory (DDFT) is emerging as a useful theoretical technique for modeling the dynamics of correlated systems. We extend DDFT to quantum systems for application to dense plasmas through a quantum hydrodynamics (QHD) app
The problem is modeled by the steady caseof the generalized Navier-Stokes equations, where the exponent $q$ thatcharacterizes the flow depends on the space variable: $q=q(\\mathbf{x})$. Forthe associated boundary-value problem we show that, in some situations, thelog-H\"older continuity ...
Differential Integral Equations, 15 (3) (2002), pp. 345-356 Google Scholar [4] L. Caffarelli, R. Kohn, L. Nirenberg Partial regularity of suitable weak solutions of the Navier–Stokes equations Comm. Pure Appl. Math., 35 (1982), pp. 771-831 CrossrefView in ScopusGoogle Scholar [5] ...
Procedures to define boundary conditions for Navier-Stokes equations are discussed. A new formulation using characteristic wave relations through boundaries is derived for the Euler equations and generalized to the Navier-Stokes equations. The emphasis is on deriving boundary conditions compatible with moder...