On the asymptotic solution of a wave damping problem arising in lnhomogeneous media
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 327-340 |
| Journal / Publication | Applicable Analysis |
| Volume | 60 |
| Issue number | 3-4 |
| Publication status | Published - Apr 1996 |
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Abstract
In studying a wave damping problem in inhomogeneous media, the following equation arises: (Formula presented.) This paper considers the asymptotic solution of the above equation for large complex values of u which is uniformly valid in x. Attention is focused on the solution which tends to zero as x tends to infinity and for values of u in the half plane Re(u) >0. The results obtained are simply expressed in terms of the Macdonald type Bessel function Ku(x). Our method utilizes a relation between two types of the modified Bessel functions and a uniform asymptotic formula for Ku(x), and depends for its success on a novel method to obtain the uniform bounds for the Green function that arises in the reformulated integral equation.
Research Area(s)
- wave damping, asymptotic solution
Bibliographic Note
Publication information for this record has been verified with the author(s) concerned.
Citation Format(s)
On the asymptotic solution of a wave damping problem arising in lnhomogeneous media. / Dai, H. -H.
In: Applicable Analysis, Vol. 60, No. 3-4, 04.1996, p. 327-340.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
