MATHEMATICAL PROBLEMS FOR CALCULATION OF NON-LINEAR WAVE PROCESSES AND NUMERICAL INVESTIGATION OF GAS-DISCHARGE PHENOMENA

The investigation objects are the equations in partial derivatives and also the gas-discharge plasma. The aim of the work is to investigate theoretically the problems connected with calculation of the discontinuous solution for the quasi-linear conservation laws and with transfer of the boundary Sommerfeld's conditions, to investigate numerically the processes of electromagnetic radiation processes with the gas dischage plasma. The theorems of existence and convergence in the travelling wave type limit contour for the difference circuits approximating the quasi-linear conservation law have been proved. The new statement of internal problem for the elliptic type equations with the transparency conditions of variotinal type on the artificial boundary has been formulated; its expediency has been proved. The approach to solve the self-coordinated problems of gas discharge physics in the multidimensional case taking kinetic, electrodynamic and gasodynamic effects into consideration has been developed. The problems about interaction of the microwave beams with nitrogen plasma in the two-dimensional case has been solved numerically. The software packages developed have found application in the Institute of Applied Mathematics (Russian Academy of Sciences) and can be used in the some research institutesAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio