Physics, mathematics, and technology

2012 Issue №4

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Mathematical model of transportation of relativistic electronic beams. Analogy to the equations of gas dynamics



Analytical comparison of hyperbolic system consists of four equations for moments of the distribution function of relativistic electron beam (REB), the modeling transportation processes in the gas environment and the equations of gas dynamics of ideal polytropic gas was carried out. The found analogy between these models allowed to specify mathematical statement of a problem for REB and to facilitate a choice of edge conditions of the task.


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