منابع مشابه
Stationary Axisymmetric Solutions of the Einstein Equations with Rigidly Rotating Perfect Fluid and Nonlinear Charged Sources
A class of stationary rigidly rotating perfect fluid coupled with nonlinear electromagnetic fields was investigated. An exact solution of the Einstein equations with sources for the Carter B(+) branch was found, for the equation of state 3p + = constant. We use a structural function for the Born-Infeld non-linear electrodynamics which is invariant under duality rotations and a metric possessing...
متن کاملEinstein’s Field Equations for the Interior of a Uniformly Rotating Stationary Axisymmetric Perfect Fluid
We reduce Einstein’s field equations for the interior of a uniformly rotating, axisymmetric perfect fluid to a system of six second order partial differential equations for the pressure p the energy density μ and four dependent variables.Four of these equations do not depend on p and μ and the other two determine p and μ. PACS number(s): 04.20.Jb, 04.20.-q
متن کاملThe axisymmetric collapse of a mixed patch and internal wave generation in uniformly stratified rotating fluid
We present an experimental and numerical investigation of the effect of Coriolis forces on the axisymmetric collapse of a uniform mixed region in uniformly stratified fluid. Laboratory experiments were performed on a rotating table in which a mixed patch contained initially in a hollow cylinder was released and so excited internal waves whose properties were analyzed using synthetic schlieren. ...
متن کاملSimulations of Axisymmetric Inertial Waves in a Rotating Container of Fluid
Coriolis accelerations in a rotating body of fluid produce restoring forces for disturbances that depart from solid-body rotation, resulting in wave-like motion known as inertial waves. This kind of behaviour can be important in geophysical and technological applications (e.g. planetary core dynamics, instabilities in spinning rocket fuel tanks). For simple container shapes and for solid-body r...
متن کاملNumerical simulations of rotating axisymmetric sunspots
A numerical model of axisymmetric convection in the presence of a vertical magnetic flux bundle and rotation about the axis is presented. The model contains a compressible plasma described by the nonlinear MHD equations, with density and temperature gradients simulating the upper layer of the sun’s convection zone. The solutions exhibit a central magnetic flux tube in a cylindrical numerical do...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1980
ISSN: 0022-1236
DOI: 10.1016/0022-1236(80)90082-8