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| 1. |
Instability of Three Dimensional Waves in Two Layered Flows |
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Studies in Applied Mathematics,
Volume 86,
Issue 4,
1992,
Page 269-280
Y. F. Zhou,
D. J. Benney,
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摘要:
This paper is concerned with instabilities which may develop on a class of two layered parallel shear flows. The mean flow first harmonic theory is applied. Analysis shows that a preexisting oblique neutral wave is unstable to more general perturbations.
ISSN:0022-2526
DOI:10.1002/sapm1992864269
年代:1992
数据来源: WILEY
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| 2. |
Interaction of Elastic Waves |
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Studies in Applied Mathematics,
Volume 86,
Issue 4,
1992,
Page 281-314
John K. Hunter,
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摘要:
We derive and analyze asymptotic equations for the interaction of weakly nonlinear elastic waves. We show that there are resonant triads involving two transverse and one longitudinal wave provided the wave speeds satisfy a certain irrationality condition. We study initial value and signaling problems, and the interaction of sawtooth wave packets.
ISSN:0022-2526
DOI:10.1002/sapm1992864281
年代:1992
数据来源: WILEY
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| 3. |
The Painlevé Connection Problem: An Asymptotic Approach. I |
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Studies in Applied Mathematics,
Volume 86,
Issue 4,
1992,
Page 315-376
Nalini Joshi,
Martin D. Kruskal,
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摘要:
The connection problem for the first and second Painlevé equations is the problem of relating the asymptotic behavior of a solution on a path of approach to infinity (in the complex plane of the independent variable) to those along another such path. A direct natural asymptotic method of solving this problem is described in detail in this paper. In particular, a uniformly valid description of the general (two‐complex‐parameter) asymptotic behaviors—given to leading order by elliptic functions—is derived by a generalization of the multiple‐sca
ISSN:0022-2526
DOI:10.1002/sapm1992864315
年代:1992
数据来源: WILEY
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