A 2.5D model for the equations of the ocean and the atmosphere
Chen, Q. S., Laminie, J., Rousseau, A., Temam, R., & Tribbia, J. (2007). A 2.5D model for the equations of the ocean and the atmosphere. Analysis And Applications, 5, 199-229. doi:10.1142/S021953050700095X
The primitive equations (PEs) of the atmosphere and the ocean without viscosity are considered. A 2.5D model is introduced, whose motivation is described in the Introduction. A set of nonlocal boundary conditions is proposed, and well-posedness is established for the flows linearized around a con... Show moreThe primitive equations (PEs) of the atmosphere and the ocean without viscosity are considered. A 2.5D model is introduced, whose motivation is described in the Introduction. A set of nonlocal boundary conditions is proposed, and well-posedness is established for the flows linearized around a constant velocity stratified flow; homogeneous and nonhomogeneous boundary conditions are considered. A related model of dimension 2.5, of physical interest but with fewer degrees of freedom, is also considered at the end. Show less
