Abstract
We consider the $3D$ primitive equations and show, that one does need less than horizontal viscosity to obtain a well-posedness result in Sobolev spaces. Furthermore, we will also investigate the primitive equations with horizontal viscosity and show that these equations are well-posed without imposing any boundary condition for the horizontal velocity components on the vertical boundary.
Citation
Martin Saal. "Primitive Equations with half horizontal viscosity." Adv. Differential Equations 25 (11/12) 651 - 685, November/December 2020. https://doi.org/10.57262/ade/1605150118
Information