| Autor: |
Gavrikov, M. B., Taiurskii, A. A. |
| Zdroj: |
Lobachevskii Journal of Mathematics; Jan2024, Vol. 45 Issue 1, p39-49, 11p |
| Abstrakt: |
In this paper, the main initial-boundary (mixed) problems for a nonlinear system of equations of one-dimensional gas ionization in the case of constant velocities of gas atoms and ions arising as a result of ionization are presented. The concentrations of atoms and ions are unknowns in this system. A general formula for a sufficiently smooth solution of the , of this system, where is time and is a spatial coordinate, is found. In the case of a mixed problem for a finite interval, the analytic solution is constructed by means of recurrence formulas, each of which is defined in a triangle belonging to some triangulation of the region of definition of the unknown functions specified in the paper. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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