Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile
نویسندگان
چکیده
منابع مشابه
Optimization with the time-dependent Navier-Stokes equations as constraints
In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...
متن کامل3d Steady Compressible Navier–stokes Equations
2000 Mathematics Subject Classification. Primary: 76N10; Secondary: 35Q30.
متن کاملConvergence of a Navier-stokes-poisson Approximation of the Incompressible Navier-stokes Equations
This paper studies the quasi-neutral limit of pressureless Navier-Stokes-Poisson equations in plasma physics in the torus T. For well prepared initial data the convergence of solutions of compressible Navier-Stokes-Poisson equations to the solutions of incompressible Navier-Stokes equations is justified rigorously by using the curl-div decomposition of the gradient. And a priori estimates with ...
متن کاملStability of Rarefaction Waves of the Navier-stokes-poisson System
In the paper we are concerned with the large time behavior of solutions to the onedimensional Navier-Stokes-Poisson system in the case when the potential function of the self-consistent electric field may take distinct constant states at x = ±∞. Precisely, it is shown that if initial data are close to a constant state with asymptotic values at far fields chosen such that the Riemann problem on ...
متن کاملA Multigrid Solver for the Steady State Navier-stokes Equations Using the Pressure-poisson Formulation
This paper presents an eecient multigrid solver for steady-state Navier-Stokes equations in 2D on non-staggered grids. The pressure Poisson equation formulation is used, together with a nite volume discretization. A discretization of the boundary conditions for pressure and velocities is presented. An eecient multigrid algorithm for solving the resulting discrete equations is then developed. Th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2015
ISSN: 0036-1410,1095-7154
DOI: 10.1137/130950069