We introduce the shifted inverse curvature flow in hyperbolic space. This is a family of hypersurfaces space expanding by $$F^{-p}$$ with positive power p for smooth, symmetric, strictly increasing and 1-homogeneous function F principal curvatures some concavity properties. study maximal existence asymptotical behavior horo-convex hypersurfaces. In particular, $$0<p\le 1$$ we show that limiting...

in this paper, we formalize the menger probabilistic normed space as a category in which its objects are the menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. so, we can easily apply the results of topological vector spaces...

analysis of non-laminar flows in coarse alluvial beds has a wide range of applications in various civil engineering, oil and gas, and geology problems. darcy equation is not valid to analyze transient and turbulent flows, so non-linear equations should be applied. non-linear equations are classified into power and binomial equations. binomial equation is more accurate in a wide range of velocit...

We develop a compactness theory for super Ricci flows, which lays the foundations partial regularity in Bamler (Structure Theory of Non-collapsed Limits Flows, arXiv:2009.03243 , 2020). Our results imply that any sequence flows same dimension is pointed an appropriate sense subsequentially converges to certain type synthetic flow, called metric flow. will study geometric and analytic properties...

The branching space of a flow is the topological space of germs of its nonconstant execution paths beginning in the same way. However, there exist weakly Shomotopy equivalent flows having non weakly homotopy equivalent branching spaces. This topological space is then badly behaved from a computer-scientific viewpoint since weakly S-homotopy equivalent flows must correspond to higher dimensional...