Mathematical study of rotating fluids with resonant surface stress
نویسندگان
چکیده
منابع مشابه
Mathematical Study of Rotating Fluids with Resonant Surface Stress Anne-laure Dalibard and Laure Saint-raymond
We are interested here in describing the linear response of a highly rotating fluid to some surface stress tensor, which admits fast time oscillations and may be resonant with the Coriolis force. In addition to the usual Ekman layer, we exhibit another much larger boundary layer, and we prove that for large times, the effect of the surface stress may no longer be localized in the vicinity of th...
متن کاملTides in Rotating Fluids
We _consider t~e _tidal disturbance_ fo~c~d ~n a differentially rotating fluid by a rigidly rotating external potential. The flmd ~s assumed to be mviscid, msl:llated, and self-gravitating, and to have laminar unperturbed and pe~tu~bed velocity fields. The external potential may exert a steady torque on the fluid which is of second order m Its str~ngth. ~owever, to this. order, we prove that th...
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 کاملThermosolutal Convection of Micropolar Rotating Fluids Saturating a Porous Medium
Double-diffusive convection in a micropolar fluid layer heated and soluted from below in the presence of uniform rotation saturating a porous medium is theoretically investigated. An exact solution is obtained for a flat fluid layer contained between two free boundaries. To study the onset of convection, a linear stability analysis theory and normal mode analysis method have been used. For the ...
متن کاملTransport in Rotating Fluids
We consider uniformly rotating incompressible Euler and NavierStokes equations. We study the suppression of vertical gradients of Lagrangian displacement (”vertical” refers to the direction of the rotation axis). We employ a formalism that relates the total vorticity to the gradient of the back-to-labels map (the inverse Lagrangian map, for inviscid flows, a diffusive analogue for viscous flows...
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: Journal of Differential Equations
سال: 2009
ISSN: 0022-0396
DOI: 10.1016/j.jde.2008.12.016