A Singular Limit for Compressible Rotating Fluids
نویسندگان
چکیده
We consider a singular limit problem for the NavierStokes system of a rotating compressible fluid, where the Rossby and Mach numbers tend simultaneously to zero. The limit problem is identified as the 2-D Navier-Stokes system in the “horizontal” variables containing an extra term that accounts for compressibility in the original system.
منابع مشابه
Examples of singular limits in hydrodynamics
This chapter is devoted to the study of some asymptotic problems in hydrodynamics. In particular, we will review results about the inviscid limit, the compressible-incompressible limit, the study of rotating fluids at high frequency, the hydrodynamic limit of the Boltzmann equation as well as some homogenization problems in fluid mechanics.
متن کاملSimilarity Solutions of Compressible Flow over a Rotating Cone with Surface Suction
We present solutions of the laminar compressible boundary-layer flows over the family of rotating cones subject to surface mass flux. The work is a generalization of previous studies of the compressible rotating-disk flow and incompressible rotating-cone flow without surface mass flux. Transformations are used which lead to a system of generalized von Karman equations with boundary conditions p...
متن کاملSteady Thermal Stresses in a Thin Rotating Disc of Finitesimal Deformation with Mechanical Load
Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising ...
متن کاملSingular Limits and Convergence Rates of Compressible Euler and Rotating Shallow Water Equations
With solid-wall boundary condition and ill-prepared initial data, we prove the singular limits and convergence rates of compressible Euler and rotating shallow water equations towards their incompressible counterparts. A major issue is that fast acoustic waves contribute to the slow vortical dynamics at order one and do not damp in any strong sense. Upon averaging in time, however, such a contr...
متن کاملNonlinear stability of rotating two superposed magnetized fluids with the technique of the homotopy perturbation
In the present work, the Rayleigh-Taylor instability of two rotating superposed magnetized fluids within the presence of a vertical or a horizontal magnetic flux has been investigated. The nonlinear theory is applied, by solving the equation of motion and uses the acceptable nonlinear boundary conditions. However, the nonlinear characteristic equation within the elevation parameter is obtained....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 44 شماره
صفحات -
تاریخ انتشار 2012