This paper is aimed at eliciting consistency conditions for the existence of unsteady incompressible axisymmetric swirling viscous Beltrami vortices and explicitly constructing solutions that obey as well Navier–Stokes equations. By flow, it meant vorticity, i.e., curl velocity, proportional to velocity any local point in space time. The are derived proportionality coefficient, field external f...

‎in this paper‎, ‎we have investigated the chaotic behavior of thermal convection in couple stress liquid saturated porous layer subject to gravity‎, ‎heated from below and cooled from above‎, ‎based on theory of dynamical system‎. ‎a low dimensional lorenz‎- ‎like model is obtained by using galerkin-truncation approximation‎. ‎we found that there is proportional relation between scaled couple ...

Surface parameterizations and registrations are important in computer graphics and imaging, where 1-1 correspondences between meshes are computed. In practice, surface maps are usually represented and stored as 3D coordinates each vertex is mapped to, which often requires lots of storage memory. This causes inconvenience in data transmission and data storage. To tackle this problem, we propose ...

We study a new type of large-scale instability in obliquely rotating stratifi ed fl uids with small-scale nonhelical turbulence. The turbulence is generated by the external force zero helicity and low Reynolds number. theory uses method multiscale asymptotic expansions. nonlinear equations for motions are obtained third order perturbation theory. consider linear stationary modes. Solutions form...

Rivaroxaban (RN) is a recently developed potent oral anticoagulant. The aim of the present study envisages compatibility studies rivaroxaban with crospovidone, sodium startch glycolate, magnesium stearate, talc, microcrystalline cellulose, aerosil, HPMC K100 M, croscarmellose using Differential scanning calorimeter and FTIR spectrophotometer. DSC thermograms, physical mixture individual pharmac...

In Schramm & Kayser (1995) we introduced the complex Beltrami Equation as an appropriate framework for the analysis of arclets in cluster lensing. Corresponding real formalisms have been developed by Kaiser and Schneider & Seitz (this volume, compare also the references in Schramm & Kayser 1995). Here, we show how the solutions of the Beltrami differential equation can be used to identify multi...

Beltrami states for compressible barotropic flows are deduced by minimizing the total kinetic energy while keeping the total helicity constant. A Hamiltonian basis for these Beltrami states is also sketched.

The purpose of this paper is to use semiclassical analysis to unify and generalize L estimates on high energy eigenfunctions and spectral clusters. In our approach these estimates do not depend on ellipticity and order, and apply to operators which are selfadjoint only at the principal level. They are estimates on weakly approximate solutions to semiclassical pseudodifferential equations. To mo...

The core of this paper is the group-theoretical approach, initiated in 2015 by one present authors collaboration with Alexander Sorin that brings into classical field mathematical fluid-mechanics a brand new vision, allowing for more systematic classification and algorithmic construction Beltrami flows on torii R3/Λ where Λ crystallographic lattice. Here hydro-theory based focal idea Universal ...