Self-averaging scaling limits for random parabolic waves (Q1770245)
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| Language | Label | Description | Also known as |
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| English | Self-averaging scaling limits for random parabolic waves |
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Self-averaging scaling limits for random parabolic waves (English)
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14 April 2005
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The scaling limits of parabolic wave processes in random media governed by the Wigner-Moyal equation are studied. The Wigner-Moyal equation is considered in the generalized integral form. Under some conditions on the potential, the author shows that a weak solution, parameterized by different kinds of scaling, converges in the distribution sense to the deterministic limit of one of the six types of transport equations, including the Fokker-Planck equation.
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parabolic wave equation
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Wigner-Moyal equation
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scaling limit
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transport equation
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Fokker-Planck equation
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