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This article is cited in 3 scientific papers (total in 3 papers)
Analytical solution of mixed problems for one-dimensional ionization equations in the case of constant velocities of atoms and ions
M. B. Gavrikov, A. A. Tayurskii
Abstract:
The main initial-boundary (mixed) problems are considered for a nonlinear system of equations for one-dimensional gas ionization in the case of constant velocities of gas atoms and ions arising as a result of ionization. The unknowns in this system are the concentrations of atoms and ions. A general formula is found for a sufficiently smooth solution of this system depending on time and spatial coordinate. It is shown that mixed problems for the system of one-dimensional ionization equations admit integration in the form of explicit analytical expressions. In the case of a mixed problem for a finite segment, an analytical solution is constructed using recursive formulas, each of which is defined in a triangle belonging to some domain of definition of unknown functions indicated in the triangulation work.
Keywords:
ionization oscillations, breathing modes, characteristics.
Citation:
M. B. Gavrikov, A. A. Tayurskii, “Analytical solution of mixed problems for one-dimensional ionization equations in the case of constant velocities of atoms and ions”, Keldysh Institute preprints, 2023, 030, 36 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp3153 https://www.mathnet.ru/eng/ipmp/y2023/p30
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