Abstract:
The basic ideas and results of investigations of the effect on a compressible medium of a special class of gas-dynamic and thermal regimes (regimes with peaking) are expounded. A mathematical description is given of new phenomena caused by such effects (the effect of localization, formation of structures, shockless compression of continuous media). The mathematical model studied was used in a number of applications, in particular, to problems of the physics of plasmas.
Citation:
N. V. Zmitrenko, S. P. Kurdyumov, A. P. Mikhailov, “The theory of modes with peaking in compressible media”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 28, VINITI, Moscow, 1986, 3–94; J. Soviet Math., 41:5 (1988), 1163–1222