A conservative finite difference scheme for static diffusion equation.
A free boundary problem for compressible viscous fluids.
A multigrid smoother for high Reynolds number flows.
A note on the free convection boundary layer on a vertical surface with prescribed heat flux at small Prandtl number.
A note on three-dimensional compressible boundary layer growth
A zoology of boundary layers.
In meteorology and magnetohydrodynamics many different boundary layers appear. Some of them are already mathematically well known, like Ekman or Hartmann layers. Others remain unstudied, and can be much more complex. The aim of this paper is to give a simple and unified presentation of the main boundary layers, and to propose a simple method to derive their sizes and equations.
About porosity parameters with the application of general similarity method to the case of a dissociated gas flow in the boundary layer
Analytic solution of a free and forced convection with suction and injection over a non-isothermal wedge.
Asymptotic time-behavior for weighted scalar conservation laws
Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere.
We study the boundary layer approximation of the, already classical, mathematical model which describes the discharge of a laminar hot gas in a stagnant colder atmosphere of the same gas. We start by proving the existence and uniqueness of solutions of the nondegenerate problem under assumptions implying that the temperature T and the horizontal velocity u of the gas are strictly positive: T ≥ δ > 0 and u ≥ ε > 0 (here δ and ε are given as boundary conditions in the external atmosphere)....
On unsteady compressible laminar boundary layers past bodies of revolution spinning about its axis.
Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II
In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.
The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions
We study boundary layer solutions of the isentropic, compressible Navier-Stokes equations with Navier-friction boundary conditions when the viscosity constants appearing in the momentum equation are proportional to a small parameter . These boundary conditions are characteristic for the underlying inviscid problem, the compressible Euler equations.The boundary condition implies that the velocity on the boundary is proportional to the tangential component of the stress. The normal component of velocity...
Обратная задача теории пограничного слоя в сверхзвуковом потоке газа