On the behavior near the caustic of a nonsteady wave field with singularity (A homogeneous generalized function) at the initial front
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Abstract
The Cauchy problem for the wave equation in the case of discontinuity on the initial front is investigated. The discontinuity is described by a homogeneous generalized function of degree λ. The transformation of the initial front while passing the space-time caustic is studied. The structure of the wave front and the space-time rays near the caustic is considered. Bibliography: 4 titles.
Keywords
Generalize Function Wave Equation Cauchy Problem Wave Front Wave Field
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Literature Cited
- 1.N. Ya. Kirpichnikova, “Behavior of singularities of a nonsteady wave field near a caustic in a medium with a variable velocity,”Mathematical Problems of the Theory of Wave Propagation. 16, J. Sov. Math.,50, No. 4, 1743–1750 (1990).MATHMathSciNetGoogle Scholar
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© Plenum Publishing Corporation 1995