Effects in a Two-Velocity Dynamical System Associated with the Coincidence of the Velocities in an Interval
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 49-65
Citer cet article
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
The behavior of the principal singularities of the fundamental solution of the problem for a dynamical system in which two components of the wave propagate with different velocities is studied. We show that the principal singularities of the wave can pass from one component to the other whenever in the system there exists an interval in which the velocities of propagation coincide for both components.
[1] M. I. Belishev, A. V. Zurov, “Effekty, svyazannye s sovpadeniem skorostei v dvukhskorostnoi dinamicheskoi sisteme”, Zap. nauchn. semin. POMI, 264, 2000, 44–65 | MR | Zbl
[2] L. P. Nizhnik, Obratnye zadachi rasseyaniya dlya giperbolicheskikh uravneniya, Naukova dumka, Kiev, 1991 | MR | Zbl
[3] E. I. Grigolyuk, I. T. Selezov, “Neklassicheskie teorii kolebanii sterzhnei, plastin i obolochek”, Itogi Nauki i tekhniki, seriya Mekhanika tverdykh deformiruemykh tel, 5, M., 1973 | Zbl