We show that the Ruelle zeta function for a negatively curved oriented surface vanishes at zero to the order given by the absolute value of the Euler characteristic. This result was previously known only in constant curvature.

Two-dimensional nonlinear models are developed to account for abnormal surface ocean waves generation and propagation. These models are based on the KadomtsevPetviashvili equation, the 2D Benjamin-Ono equation and the 2D Gardner equation. Possible mechanisms of the waves formation suggested are the resonant interaction between semi-plane waves or waves with curved fronts or the transverse insta...

We derive a time-domain asymptotic solution for the edge-surface diffracted ray excited by the edge of a thin cylindrically curved conducting surface from the corresponding frequency-domain asymptotic solution. The validity of the asymptotic solution is confirmed by comparing with the reference solution calculated numerically.

Often it is useful to account for small error or variation in a physical simulation. We develop conservative bounds for the unit wrenches applied by pushing on a curved surface patch in two dimensions. We discuss subdividing the surface patch to obtain tighter bounds, and incorporating varying force directions caused by frictional contacts.

In this paper we develop a new approach for land leveling in order to improve the topology of a large area for irrigation or civil projects. The objective in proposed model is to minimize the total volume of cutting so that technical requirements of land leveling such as suitable slope and standard ratio of cutting to filling and maximum penstock point’s height are considered. We develop a warp...