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Energy Decay of Solutions to the Boussinesq, Primitive, and Planetary Geostrophic Equations

✍ Scribed by Maria Schonbek; Geoffrey K. Vallis

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
159 KB
Volume
234
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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Long-time behavior and regularity are studied for solutions of the Stark equation It is shown that for a class of short-range potentials V(x) the gain of local smoothness and the decay as |t| Γ„ are close to those of the corresponding Schro dinger equation u t =i(&2+V(x)) u.

Existence and Uniqueness of a Solution t
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## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for

Existence and non-existence of global so
Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation
✍ Yang Zhijian πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 113 KB πŸ‘ 2 views

## Communicated by B. BrosowskıÍ n this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation u RR

A remark on the decay of solutions to th
A remark on the decay of solutions to the 3-D Navier–Stokes equations
✍ Yong Zhou πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 98 KB πŸ‘ 1 views

## Abstract In this paper we derive a decay rate of the __L__^2^‐norm of the solution to the 3‐D Navier–Stokes equations. Although the result which is proved by Fourier splitting method is well known, our method is new, concise and direct. Moreover, it turns out that the new method established here