SYMMETRIES AND INVARIANT SOLUTIONS OF THE ONE-DIMENSIONAL BOLTZMANN EQUATION FOR INELASTIC COLLISIONS

Ilyin O. V.

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SYMMETRIES AND INVARIANT SOLUTIONS OF THE ONE-DIMENSIONAL BOLTZMANN EQUATION FOR INELASTIC COLLISIONS

机译：弹性碰撞的一维Boltzmann方程的对称性和不变解

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摘要

We consider the one-dimensional integro-differential Boltzmann equation for Maxwell particles with inelastic collisions. We show that the equation has a five-dimensional algebra of point symmetries for all dissipation parameter values and obtain an optimal system of one-dimensional subalgebras and classes of invariant solutions.

机译：我们考虑了具有非弹性碰撞的麦克斯韦粒子的一维积分微分玻尔兹曼方程。我们证明该方程对所有耗散参数值都有一个点对称的五维代数，并获得一维子代数和不变解类的最优系统。

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《Theoretical and mathematical physics》 |2016年第2期|共9页
作者
Ilyin O. V.;
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正文语种 eng
中图分类物理学的数学方法;
关键词
inelastic Boltzmann equation; Lie symmetry; invariant solution; optimal system of subalgebras;

机译：非弹性玻尔兹曼方程;李对称性;不变解;子代数的最优系统;

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专利

1. SYMMETRIES AND INVARIANT SOLUTIONS OF THE ONE-DIMENSIONAL BOLTZMANN EQUATION FOR INELASTIC COLLISIONS [J] . Ilyin O. V. Theoretical and mathematical physics . 2016,第2期

机译：弹性碰撞的一维Boltzmann方程的对称性和不变解
2. A solution of the Boltzmann equations in the presence of three components and inelastic collisions [J] . I.N. Shishkova, S.S. Sazhin International Journal of Heat and Mass Transfer . 2014,第apra期

机译：存在三个分量和非弹性碰撞的玻尔兹曼方程的解
3. Exact steady-state solution of the Boltzmann equation: A driven one-dimensional inelastic Maxwell gas - art. no. 011305 [J] . Santos A., Ernst MH. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2003,第1aPta1期

机译：玻尔兹曼方程的精确稳态解：驱动的一维非弹性麦克斯韦气体-art。没有。 011305
4. On Weak Solutions to the Linear Boltzmann Equation with Inelastic Coulomb Collisions [C] . Rolf Pettersson International Symposium on Rarefied Gas Dynamics . 2011

机译：在与非弹性库仑碰撞中线性螺栓玻璃界方程的弱解
5. A one-dimensional solution of the Boltzmann transport equation with application to the compact modeling of modern bipolar transistors. [D] . St. Denis, Anthony Robert. 1999

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6. Comparing the Predictions of the Nonlinear Poisson-Boltzmann Equation and the Ion Size-Modified Poisson-Boltzmann Equation for a Low-Dielectric Charged Spherical Cavity in an Aqueous Salt Solution [O] . Alexander R.J. Silalahi, Alexander H. Boschitsch, Robert C. Harris, -1

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7. L1 stability estimate for a one-dimensional Boltzmann equation with inelastic collisions [O] . Ha Seung-Yeal 2003

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SYMMETRIES AND INVARIANT SOLUTIONS OF THE ONE-DIMENSIONAL BOLTZMANN EQUATION FOR INELASTIC COLLISIONS

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