Stagnation zones of ideal flows in long and narrow bands.
Stagnation-point flow of the Walters' fluid with slip.
Start-up of channel-flow of a Bingham fluid initially at rest
We present an analytical solution of plane motion for a Bingham fluid initially at rest subjected to a suddenly applied constant pressure gradient. Using the Laplace transform we obtain expressions which allow a direct easy calculation of the velocity, of the plug thickness and of the rate of flow as function of time.
Stationary incompressible bipolar fluids
Stationary solutions for generalized Boussinesq models in exterior domains.
Stationary solutions for the Swift-Hohenberg equation in non-uniform backgrounds
Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Stationary spatially periodic compressible flows at high mach number
Stationary states and moving planes
Most of the paper deals with the application of the moving plane method to different questions concerning stationary accumulations of isentropic gases. The first part compares the concepts of stationarity arising from the points of view of dynamics and the calculus of variations. Then certain stationary solutions are shown to be unstable. Finally, using the moving plane method, a short proof of the existence of energy-minimizing gas balls is given.
Stationary voltage current characteristics of a plasma
Statistical mechanics of the -point vortex system with random intensities on .
Statistical study of Navier-Stokes equations, I
Statistical study of Navier-Stokes equations, II
Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities.
Statistics of a vortex filament model.
Steady and asymptotic analysis of the White-Metzner fluid.
Steady Boussinesq system with mixed boundary conditions including friction conditions
In this paper we are concerned with the steady Boussinesq system with mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak, one-sided leak, velocity, vorticity, pressure and stress conditions together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. For the problem involving the static pressure and stress boundary conditions, it is proved that if the data of the problem are small enough, then there exists a solution...
Steady compressible Navier-Stokes-Fourier system in two space dimensions
We study steady flow of a compressible heat conducting viscous fluid in a bounded two-dimensional domain, described by the Navier-Stokes-Fourier system. We assume that the pressure is given by the constitutive equation , where is the density and is the temperature. For , we prove existence of a weak solution to these equations without any assumption on the smallness of the data. The proof uses special approximation of the original problem, which guarantees the pointwise boundedness of the...
Steady compressible Oseen flow with slip boundary conditions
We prove the existence of solution in the class H²(Ω) × H¹(Ω) to the steady compressible Oseen system with slip boundary conditions in a two dimensional, convex domain with boundary of class . The method is to regularize a weak solution obtained via the Galerkin method. The problem of regularization is reduced to the problem of solvability of a certain transport equation by application of the Helmholtz decomposition. The method works under an additional assumption on the geometry of the boundary....
Steady flow of a second-grade fluid in an annulus with porous walls.