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14.749  Articles
1 of 1.476 pages  |  10  records  |  more records»
We find two fixed points differents of cero of the operator in an Sobolev Spaces in L¹ (?) with ? ? Rn and they are solutions of Boltzmann equation.

Explicit approximate solution of the Boltzmann equation for the hardsphere model are built. It has the kind of continual distribution in the case of local Maxwellians of special form describing the screw-shaped stationary equilibrium states of a gas. Some... see more

Approximate bimodal solutions for the integro-differential Boltzmann equation for the model of hard spheres are built in the case when the Maxwellian modes are screws with different degrees of infnite-simality of their angular velocities. Some suffcient c... see more

Nonlinear traveling waves of the Klein-Gordon equation with cubic nonlinearity are considered. These waves are described by the nonlinear ordinary differential equation of the second order having the energy integral. Linearized equation for variation obta... see more

Numerical solution of the Boltzmann equation for stationary high-speed flows around complex three-dimensional bodies is an extremely difficult computational problem. This is because of high dimension of the equation and lack of efficient implicit methods ... see more

The new approximate solution for the nonlinear kinetic Boltzmann equation in the case of the model of hard spheres is found. It ensures the infinitesimality of the uniform-integral weighted discrepancy between the sides of the equation and very fast tends... see more

We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions. A one-dimensional and a fully three-dimensional setup... see more

In this study, we consider a method for investigating the stochastic response of a nonlinear dynamical system affected by a random seismic process. We present the solution of the probability density of a single/multiple-degree of freedom (SDOF/MDOF) syste... see more

In this paper we discuss numerical integration of the stationary Landau–Lifshitz(LL) equation. Using a Lax pair representation of the LL equation, we propose an isospectral algorithm that preserves the geometric structure of the system. The algorithm comp... see more

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