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Effective equations for wave propagation in bubbly liquids

Published online by Cambridge University Press:  20 April 2006

Russel E. Caflisch ,
Michael J. Miksis ,
George C. Papanicolaou  and
Lu Ting
Russel E. Caflisch
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York 10012
Michael J. Miksis
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York 10012 Present address: Department of Mathematics, Duke University, Durham, North Carolina, 27706.
George C. Papanicolaou
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York 10012
Lu Ting
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York 10012
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Abstract

We derive a system of effective equations for wave propagation in a bubbly liquid. Starting from a microscopic description, we obtain the effective equations by using Foldy's approximation in a nonlinear setting. We discuss in detail the range of validity of the effective equations as well as some of their properties.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 259 - 273
Copyright
© 1985 Cambridge University Press

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