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Error estimates and existence of solutions for an atmospheric model of Lorenz on periodic domains

✍ Scribed by José W. Cárdenas; Mark Thompson

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
227 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper deals with equations governing an atmospheric model of Lorenz derived from the incompressible f-plane shallow-water equations under a time independent mass forcing. The horizontal and vertical motions of the uid are damped di usively by coe cients and Ä, where Ä is taken to be a turbulent viscosity. For small initial data, we prove the existence of weak and strong solutions of such a problem. Uniqueness is proved only for strong solutions. Furthermore, we prove that the solutions to the system of equations of the approximating Galerkin problem converge to that of the original systems and error estimates are established.

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