We study the Yamabe flow on asymptotically flat manifolds with non-positive constant Y≤0. Previous work by second and third named authors [10] showed that while always converges in a global weighted sense when Y>0, must diverge show here Y≤0 case however after suitable rescalings, starting from any manifold converge to unique positive function which solves problem compactification of original m...

Bio-inspired methods can provide efficient solutions to perform autonomous landing for Micro Air Vehicles (MAVs). Flying insects such as honeybees perform vertical landings by keeping flow divergence constant. This leads to an exponential decay of both height and vertical velocity, and allows for smooth and safe landings. However, the presence of noise and delay in obtaining flow divergence est...

In this paper, we consider the L2-gradient flow for modified p-elastic energy defined on planar closed curves. We formulate a notion of weak solution and prove existence global-in-time solutions with p≥2 initial curves in space via minimizing movements. Moreover, unique to p=2 obtain their subconvergence an elastica as t→∞. Nous nous penchons sur le flot de gradient L2 l'équation p-élastique mo...

In wide-ranging areas, including hydraulics, biomedical, automotive, and aerospace, there is often a need to move fluid with constant flow rate. This difficult achieve any type of pump usually other elements are inserted regularize the output. study focused on peristaltic because few studies it has some interesting features, such as extreme simplicity, small number components, compactness whole...

In this paper, pressure-driven gas flow through a microtube with constant wall temperature is considered. The ratio of the molecular mean free path and diameter cannot be negligible. Therefore, rarefaction taken into account. A solution obtained for subsonic as well slip continuum flow. Velocity, pressure, fields are analytically attained by macroscopic approach, using continuity, Navier-Stokes...

To compensate for changes in ambient temperature, thermal flow sensors are usually heated to a constant temperature above ambient temperature. This operating mode, however, requires an extra ambient-temperature sensor. Using a simple model, it is shown that for a two-dimensional thermal flow sensor, similar compensation may be obtained by using a constant heating power, thus eliminating the nee...

Four experiments investigated observers' judgments of rigidity for different types of optical motion. The depicted structural deformations were of two types: (1) those with nonparallel image trajectories that are detectable from the first-order spatiotemporal relations between pairs of views; and (2) those with parallel image trajectories that can only be detected from higher order relations am...