Forced two layer beta-plane quasigeostrophic flow. Part I: Long-time existence and uniqueness of weak solutions

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. 2005 Elsevier Inc. All rights reserved.

authors

• Onica, Constantin

published proceedings

• JOURNAL OF DIFFERENTIAL EQUATIONS

author list (cited authors)

• Onica, C., & Panetta, R. L.

citation count

• 2

complete list of authors

• Onica, C||Panetta, RL

publication date

• January 2006

publisher

• Elsevier  Publisher

published in

• Journal of Differential Equations  Journal

keywords

• Existence And Uniqueness
• Two-layer Quasigeostrophic Flow

Digital Object Identifier (DOI)

• 10.1016/j.jde.2005.10.002

start page

• 180

end page

• 209

volume

• 226

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jde.2005.10.002