In the context of numerical methods for conservation laws, not only the preservation of the primary conserved quantities can be of interest, but also the balance of secondary ones such kinetic energy in case of the Euler equations of gas dynamics. In this work, we construct a kinetic energy preserving discontinuous Galerkin method on Gauss-Legendre nodes based on the framework of summation-by-p...

This article examines annihilators in the skew polynomial ring $R[x;alpha,delta]$. A ring is strongly right $AB$ if everynon-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy Property ($A$) and the conditions asked by P.P. Nielsen. We assume that $R$ is an ($alpha$,$delta$)-compatible ring, and prove that, if $R$ is ni...

In this paper, a three dimensional analysis of arbitrary straight-sided quadrilateral nanocomposite plates are investigated. The governing equations are based on three-dimensional elasticity theory which can be used for both thin and thick nanocomposite plates. Although the equations can support all the arbitrary straight-sided quadrilateral plates but as a special case, the numerical results f...

In this paper, we estimate the magnetic Laplacian energy norm in appropriate planar domains under a weak regularity hypothesis on field. Our main contribution is an averaging estimate, valid small cells, allowing us to pass from non-uniform uniform fields. As matter of application, derive new upper and lower bounds lowest eigenvalue Dirichlet which match regime large field intensity. Furthermor...

We study the limiting behavior of solutions to boundary value nonlinear problems involving fractional Laplacian order 2s when parameter s tends zero. In particular, we show that least-energy converge (up a subsequence) nontrivial nonnegative solution problem in terms logarithmic Laplacian, i.e. pseudodifferential operator with Fourier symbol \(\ln (|\xi |^2)\). These results are motivated by so...

For several sensor networks applications, it is critical to extend the lifetime of each individual sensor node in order to remain operational for the longest time possible. Therefore, the power consumption rate should be evenly distributed over all the nodes in the system. Traditional routing algorithms attempt to minimize the total power consumption of the system, but they do not attempt to ev...

In this article, the prominence has been given to study the influence of skew angle on bending response of functionally graded material shell panels under thermo-mechanical environment. Derivation of governing equations is based on the Reddy’s higher-order shear deformation theory and Sander’s kinematic equations. To circumvent the problem of C1 continuity requirement coupled with the finite el...