Forced two layer beta-plane quasigeostrophic flow. Part I: Long-time existence and uniqueness of weak solutions |
| |
Authors: | Constantin Onica R Lee Panetta |
| |
Institution: | a Department of Mathematics, Texas A&M University, College Station, TX 77843, USA b Department of Atmospheric Sciences, Texas A&M University, College Station, TX 77843, USA |
| |
Abstract: | We consider a model of quasigeostrophic turbulence that has proven useful in theoretical studies of large scale heat transport and coherent structure formation in planetary atmospheres and oceans. The model consists of a coupled pair of hyperbolic PDEs with a forcing which represents domain-scale thermal energy source. Although the use to which the model is typically put involves gathering information from very long numerical integrations, little of a rigorous nature is known about long-time properties of solutions to the equations. In this first paper we define a notion of weak solution, and show using Galerkin methods the long-time existence and uniqueness of such solutions. |
| |
Keywords: | Two-layer quasigeostrophic flow Existence and uniqueness |
本文献已被 ScienceDirect 等数据库收录! |
|