DocumentCode
2863143
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
fYear
2000
fDate
2000
Firstpage
34
Lastpage
39
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location
St. Petersburg
Print_ISBN
5-7997-0252-4
Type
conf
DOI
10.1109/DD.2000.902354
Filename
902354
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