Flows in the neighborhood of spinning or oscillating bodies are of interest to both academic workers and industry. Among them, the flows between oscillating cylinders are some of the most important and interesting problems of motion near oscillating bodies. As early as 1886, Stokes [1] established an exact solution for the rotational oscillations of an infinite rod immersed in a classical linea...

Through the research and analysis of tube-rod extended penetrator vertically penetrating limited thick target, a simplified model of tube-rod extended penetrator vertically penetrating semi-infinite thick target is proposed based on hydrodynamics and penetration mechanics. At the speed of 1470-1770m/s, numerical simulation of tube-rod extended penetrator vertically penetrating limited thick tar...

It is shown that an infinite one dimensional system of hard rods for which the "effective" velocities of the pulses (free velocity plus a drift term due to collisions) are bounded away from some neighborhood of 0 is Bernoulli. This generalizes a result of Sinai who showed that some hard rod systems are X-systems.

Essam Bassiouny, Refaat Sabry, Hamdy Youssef Faculty of Science and Humanitarian Studies, Salman Bin Abdulaziz University, Al-Kharj, KSA Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt Theoretical Physics Group, Department of Physics, Faculty of Science, Mansoura University, Damietta Branch, New Damietta, Egypt International Centre for Advanced Studies in Physica...

in iran, onion plants are currently broadcast over the majority of onion fields and weeding and harvesting are done manually by seasonal workers. at harvest time, 40 worker-days are required to onion dig just one hectare. this cost could be saved if the operation could be carried out by machine. rear-mounted diggers can only be implemented if 40 cm spacing between rows is allowed for each tract...

Electrostatic potential as well as the local volume charge density are computed for a macromolecule by solving the Poisson-Boltzmann equation (PBE) using the finite element method (FEM). As a verification, our numerical results for a one dimensional PBE, which corresponds to an infinite-length macromolecule, are compared with the existing analytical solution and good agreement is found. As a ma...

We solve the St. Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including relaxed micromorphic and classical model. The results can be used to determine material parameters these models. Special attention given possible nonphysical stiffness singularity vanishing diameter, because slender specimens are, in gener...

We use some results from the theory of reproducing kernel Hilbert spaces to show that reachable space heat equation for a finite rod with either one or two Dirichlet boundary controls is RKHS analytic functions on square, and we compute its as an infinite double series. also null half line data sector, whose (essentially) sum pullbacks Bergman Hardy kernels plane \(\mathbb {C}^+\).