an analytical model for a coastal boundary current was used to investigate heat and salt budget of exchange flows in the persian gulf as a marginal sea. coastal boundary currents exchange heat and freshwater with the mosphere and the offshore waters. as heat and salinity fluxes caused by air-sea interaction and eddy activities, different temperature and salinity associated with boundary current...

This paper uses contingent behavior and contingent pricing analyses to explore the proper valuation of time and transport costs within the context of recreation demand. The contingent behavior analysis poses hypothetical increases in access fees, travel time, and travel distance and considers recreation demand responses. As a useful complement, the contingent pricing analysis poses hypothetical...

The average distance problem finds application in data parameterization, which involves “representing” the data using lower dimensional objects. From a computational point of view it is often convenient to restrict the unknown to the family of parameterized curves. However this formulation exhibits several undesirable properties. In this paper we propose an alternative variant: the average dist...

We study the optimal transport problem in sub-Riemannian manifolds where the cost function is given by the square of the sub-Riemannian distance. Under appropriate assumptions, we generalize Brenier-McCann’s Theorem proving existence and uniqueness of the optimal transport map. We show the absolute continuity property of Wassertein geodesics, and we address the regularity issue of the optimal m...

Monge’s problem refers to the classical problem of optimally transporting mass: given Borel probability measures μ = μ− on R, find the measure preserving map s(x) between them which minimizes the average distance transported. Here distance can be induced by the Euclidean norm, or any other uniformly convex and smooth norm d(x, y) = ‖x− y‖ onR. Although the solution is never unique, we give a ge...

In recent years, installation of plates in canal beds have been considered for sedimentation control and bed load reduction at canal intake. These planes, called submerged vanes, are different in dimensions. They are installed at intakes in-group with reasonable distance from each other. Presence of these vanes at intakes initiate transverse shear stress on river bed and causes sediment transpo...

In recent years, installation of plates in canal beds have been considered for sedimentation control and bed load reduction at canal intake. These planes, called submerged vanes, are different in dimensions. They are installed at intakes in-group with reasonable distance from each other. Presence of these vanes at intakes initiate transverse shear stress on river bed and causes sediment transpo...

Given a compact Riemannian manifold, we study the regularity of the optimal transport map between two probability measures with cost given by the squared Riemannian distance. Our strategy is to define a new form of the so-called Ma-Trudinger-Wang condition and to show that this condition, together with the strict convexity on the nonfocal domains, implies the continuity of the optimal transport...

We propose a fast algorithm for the calculation of Wasserstein-1 distance, which is particular type optimal transport distance with cost homogeneous degree one. Our built on multilevel primal-dual algorithms. Several numerical examples and complexity analysis are provided to demonstrate its computational speed. On some commonly used image size $512\times512$, proposed gives solutions within $0....