An Exact Solution for the Rotation of the Atmosphere about the Spheroidal Earth

An Exact Solution for the Rotation of the Atmosphere about the Spheroidal Earth
Author: Harry E. Moses
Publisher:
Total Pages: 20
Release: 1973
Genre: Atmospheric circulation
ISBN:

An exact time-independent solution for the motion of the atmosphere about the earth, which is taken to be spheroidal, is given under the assumption that the temperature of the atmosphere is a function of the radius only. The centrifugal and coriolis forces are taken into account exactly, and the gravitational potential of the earth includes the quadripole correction which assures us that the pressure over the surface of the earth is essentially constant. The solution reduces to the well-known isothermal barometric equation for the rotating spheroidal earth when the temperature in the solution is constant. In fact, it is believed that the solution, which is the first exact one ever presented for the spheroidal earth, is the simplest generalization of this barometric equation. (Modified author abstract).

A Simple Exact Solution for the Motion of the Atmosphere about the Rotating Earth and Application to the Rotation of the Atmosphere

A Simple Exact Solution for the Motion of the Atmosphere about the Rotating Earth and Application to the Rotation of the Atmosphere
Author: Harry E. Moses
Publisher:
Total Pages: 24
Release: 1972
Genre: Atmospheric circulation
ISBN:

A simple solution for the steady-state motion of the atmosphere about the rotating earth is given. The coriolis and centrifugal forces are taken into account exactly, as are the non-linearities of the equations of motion of the fluid. It is assumed that the wind has east-west components only, is independent of the longitude, and has the simplest possible dependence on the latitude. The resulting wind is an analogue of the constant wind in a flat, non-rotating space. A special case is that for which the velocity is identically zero at the earth's surface. This solution is a possible model for superrotation. A numerical comparison with experiment is in a later paper. (Author).

The Upper Atmosphere in Motion

The Upper Atmosphere in Motion
Author: Colin O. Hines
Publisher: American Geophysical Union
Total Pages: 1013
Release: 1974
Genre: Science
ISBN: 0875900186

Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 18. I am advised that a preface, though not necessary, would at least be conventional. Since this provides the one opportunity for conventionality that the volume as a whole opens up, it would be churlish of me to decline. A preface normally includes, I am told, an indication of both the reason that underlies the volume's very existence and the individuals to whom the volume is directed. But part of the reason for the volume's existence lies, strange though it may seem, in communicating the reason for the volume's existence. Since prefaces generally go unread, I would be remiss if I attempted that communication here. Instead, I have left the attempt to the Introduction and Key, which I believe has a better chance of being read. Let us be willing to settle, for the moment, on the truly fundamental fact that the volume was prepared because I was prepared to prepare it and a publisher was prepared to publish it. As to the intended readers; they too, must wait for their identification in the Introduction and Key, unless they are willing to settle at this point on an identification as those who might be ready to read what I was prepared to prepare.

Lie Group Analysis of Differential Equations

Lie Group Analysis of Differential Equations
Author: Ranis Ibragimov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 298
Release: 2024-03-04
Genre: Mathematics
ISBN: 3111387496

The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling.

Izvestiya

Izvestiya
Author:
Publisher:
Total Pages: 428
Release: 2007
Genre: Atmosphere
ISBN: