Dissipative quasi-geostrophic dynamics under random forcing

12. James R. Brannan, Jinqiao Duan, Thomas Wanner:
    Dissipative quasi-geostrophic dynamics under random forcing
    Journal of Mathematical Analysis and Applications 228(1), pp. 221-233, 1998.

Abstract

The quasigeostrophic model is a simplified geophysical fluid model at asymptotically high rotation rate or at small Rossby number. We consider the quasigeostrophic equation with dissipation under random forcing in bounded domains. We show that global unique solutions exist for appropriate initial data. Unlike the deterministic quasigeostrophic equation whose well-posedness is well-known, there seems no rigorous result on global existence and uniqueness of the randomly forced quasigeostrophic equation. Our work provides such a rigorous result on global existence and uniqueness, under very mild conditions.

Links

The preprint version of the paper can be downloaded from https://arxiv.org/abs/math/9805113, while the published version of the paper can be found at https://doi.org/10.1006/jmaa.1998.6128.

Bibtex

@article{brannan:duan:wanner:98a,
   author = {James R. Brannan and Jinqiao Duan and
             Thomas Wanner},
   title = {Dissipative quasi-geostrophic dynamics under random forcing},
   journal = {Journal of Mathematical Analysis and Applications},
   year = 1998,
   volume = 228,
   number = 1,
   pages = {221--233},
   doi = {10.1006/jmaa.1998.6128}
   }