In order to analyze the shear effect of secondary currents on flow structures in a meandering channel, this research developed two-dimensional shallow water model, which included dispersion stress term accounting for vertical velocity profile. A new equation profile that nonlinear effects was derived from motion channel with sharp curvature. Using experiment data obtained large-scale channels, ...

We prove a comparison theorem for the isoperimetric profiles of solutions of the normalized Ricci flow on the two-sphere: If the isoperimetric profile of the initial metric is greater than that of some positively curved axisymmetric metric, then the inequality remains true for the isoperimetric profiles of the evolved metrics. We apply this using the Rosenau solution as the model metric to dedu...

We study numerically the anisotropic bunching effect in crystal growth under curvature and a singular vertical diffusive regularization. Our assumption is that the mobility of the growth depends on the height of the given crystal. This assumption may result in overhanging crystals if approached in a naive way. Instead, we embed the profile of the crystal as the zero level set of a continuous fu...

The influence of the geometrical curvature chiral magnetic films on static and dynamic properties hosted skyrmions is studied theoretically. We predict effects curvature-induced drift under action gradients without any external stimuli. strength driving force essentially depends skyrmion type, N\'eel or Bloch, while trajectory motion determined by type ordering: ferromagnetic antiferromagnetic....

Damped curvature oscillations are excited at the surface between a nematic liquid crystal and a solid substrate, from the linear coupling of an AC electric field with the flexoelectric properties of the medium. The waves are detected by a modulation ellipsometry technique. Linear-in-field oscillations of the director in the surface nematic layer have been observed. The amplitude and characteris...

Molecular dynamics simulations of hydrated chloride ions have been performed with a polarizable model for interface geometries of varying curvature, ranging from clusters to planar surfaces. The solvation depth profile of the chloride ion is found to depend dramatically on the curvature of the interface. This behavior is consistent with the structure-breaking character of the chloride ion, and ...

The present study aimed to characterize the effect of a nearby distractor on vertical, horizontal, and oblique saccade curvature under normal saccade preparation times. Consistent with previous findings, longer-latency vertical saccades showed greater curvature away from a distractor than did oblique or horizontal saccades. At short latencies, vertical saccades also showed greater curvature tow...

Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...