Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616638 | Journal of Mathematical Analysis and Applications | 2013 | 17 Pages |
Abstract
In this article, existence and weak stability of solutions to the compressible semigeostrophic equations are studied both in physical and in dual spaces. We present a proof of the existence of a weak solution to these equations in dual space assuming initial data in L1(R3)L1(R3), extending previous results (Cullen and Maroofi (2003) [8]). An extension to the concept of Lagrangian solutions due to Cullen and Feldman (2006) [6] is presented to the compressible semigeostrophic system, and it is shown the existence of Lagrangian solutions in physical space, with initial potential vorticities in L1L1, as well a weak stability result with respect to perturbations of the potential vorticity in L1L1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J.C.O. Faria,