The Lie-transform perturbation theory for non-autonomous non-Hamiltonian systems and its implementation in a complex of Mathematica programs are described. On the example of ...

This notebook solves the longwave stability problem for two-layer, pressure driven channel flow. Through this example, the method for using a regular perturbation technique ...

In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted three-body problem, in brief R3BP are investigated. The ...

This paper presents a linear stability analysis of cohesionless granular materials during rapid shear flow. The analysis is based on the governing equatoons developed in the ...

It is demonstrated that the critical Maragoni number for transition from the no-motion (conduction) to the motion state in the Maragoni-Bénard problem of an infinite fluid ...

This article describes ISNAP, a program for calculations atomic properties that uses an integrated symbolic and numerical approach for arbitrary excitations from closed-shell ...

In order to describe the time evolution of an inhomogeneous collisionless plasma, the nonlinear Vlasov equation is solved perturbatively, using the subdynamics approach and ...

This notebook solves the problem of laminar flow over a wavy solid surface. The linearized equations are used. A long wave expansion perturbation technique is employed. The ...

We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν (Q2), which are analytic analogs of the powers a(Q2)ν of the ...

Riemann and Weyl curvature, covariant derivative, Lie derivative, the first and the second fundamental form on hyper-surfaces, as well as basic notions of relativistic ...