منابع مشابه
Transport 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 کاملTransport in Viscous Rotating Fluids
We consider a uniformly rotating viscous incompressible fluid and estimate particle transport in the vertical direction (parallel to the rotation axis). We prove that for short time and regular initial data, strong rotation suppresses the vertical gradient of flow maps. The proof uses a diffusive Lagrangian formalism, and the suppression of the vertical gradient is a natural and direct byproduc...
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 کاملHydraulic jumps at boundaries in rotating fluids
We consider three-dimensional hydraulic jumps (shocks) propagating along boundaries in rotating fluids. This study is motivated by earlier work (Fedorov & Melville 1995), which dealt with the evolution to breaking of nonlinear Kelvin waves. We obtain the jump relations and derive an evolution equation for the jump as it propagates along the boundary. It is shown that after some initial adjustme...
متن کاملAxial drop motion in rotating fluids
A theoretical and experimental investigation of drop motion in rotating fluids is presented. The theory describing the vertical on-axis translation of an axisymmetric rigid body through a rapidly rotating low-viscosity fluid is extended to the case of a buoyant deformable fluid drop of arbitrary viscosity. In the case that inertial and viscous effects are negligible within the bulk external flo...
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: Discrete and Continuous Dynamical Systems
سال: 2003
ISSN: 1078-0947
DOI: 10.3934/dcds.2004.10.165