Title :
On the solution of the wave equation asymptotically localized at infinity
Author :
Blagovestchenskii, A.S. ; Novitskaya, A.A.
Author_Institution :
Dept. of Math. Phys., St. Petersburg Univ., Russia
Abstract :
The explicit solutions of a wave equation in 3 dimensions found by Moses and Prosser (1990) and called `bullets´ are studied in detail. These solutions behave for t→+∞ as the characteristic function of an intersection of the annulus ct+a<r<ct+b and the circular cone divided by r, where r is the spherical radius, c is the wave speed, a, b=const, a<b. We establish that such a solution tends to a plane wave when the cone becomes narrow
Keywords :
wave equations; annulus; asymptotically localized wave equation; bullets; characteristic function; circular cone; explicit solutions; plane wave; H infinity control; Laplace equations; Partial differential equations; Physics;
Conference_Titel :
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0252-4
DOI :
10.1109/DD.2000.902354
