In this paper torsion of hollow Poroelastic shaft with Elliptical section is developed. Using the boundary equation scheme. It looks for a stress function where satisfied Poisson equation and vanishes on boundary. It also analyzed stress function and warping displacement for the hollow elliptical section in Poroelastic shaft. At the end, the result of elastic and poroelastic shaft in warping di...

This paper is devoted to the horizontal (“characteristic”) cohomology of systems of differential equations. Recent results on computing the horizontal cohomology via the compatibility complex are generalized. New results on the Vinogradov C-spectral sequence and Krasilshchik’s C-cohomology are obtained. As an application of general theory, the examples of an evolution equation and a p-form gaug...

It is well known that most immunoassay systems are highly precise but are poor in compatibility of their determinations. Thus, it is difficult to compare the determinations among different systems, posing problems when a patient is transferred to different hospitals or when a laboratory intends to change the system currently used. In the study, we tried to approach how to assure inter-immunoass...

The Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach for the cross sections at high energy √ s in perturbative QCD is briefly reviewed. The role of gluon Reggeization in the derivation of the BFKL equation and its compatibility with s-channel unitarity (“bootstrap”) are discussed.

Charpit’s method of compatibility and the method of nonclassical contact symmetries for first order partial differential equation are considered. It is shown that these two methods are equivalent as Charpit’s method leads to the determining equations arising from the method of nonclassical contact symmetries. Several examples are considered illustrating how Charpit’s method leads quickly and ea...