in this study, a method which is based on the integration of navier-stokes and continuity equations has been used to develop the governing equations. in these equations the coriolis acceleration and the effect of wind also have been considered. the main application of the model is to solve two dimensional problems with free surface in the plane. the offshore engineering projects and the hydrody...

We study inverse potential problems with source term the divergence of some unknown (ℝ 3 -valued) measure supported in a plane; e.g. , magnetization for thin plates. investigate methods recovering μ by penalizing measure-theoretic total variation norm ∥ TV and appealing to decomposition divergence-free measures plane as superpositions unit tangent vector fields on rectifiable Jordan curves. In ...