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Book by Freidlin Mark I Gredeskul Sergey Hunter John K Mar
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Surveys in Applied Mathematics is a series of volumes, each of which contains expo of several topics in mathematics and their applications. They are written at a sitions level accessible to advanced graduate students and interested nonspecialists, but they also contain the results of recent research. Volume I consists of three articles. The first is the classic paper of J. B. Keller and R. M. Lewis, "Asymptotic Methods for Partial Differential Equations: The Reduced Wave Equation and Maxwell's Equations." The second is by D. W. McLaughlin and E. A. Overman on "Whiskered Tori for Integrable Pde's: Chaotic Behavior in Near Integrable Pde's." This is a systematic analytical and numerical study of near integrable wave equations, including the sine-Gordon equations and the perturbed nonlinear SchrOdinger equation. The third article is by G. Papanicolaou on "Diffusion in Random Media." It is an introductory survey of homogenization methods for the diffusion equation with random diffusivity.
Reseña del editor
Volume 2 offers three in-depth articles covering significant areas in applied mathematics research. Chapters feature numerous illustrations, extensive background material and technical details, and abundant examples. The authors analyze nonlinear front propagation for a large class of semilinear partial differential equations using probabilistic methods; examine wave localization phenomena in one-dimensional random media; and offer an extensive introduction to certain model equations for nonlinear wave phenomena.
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- VerlagSpringer
- Erscheinungsdatum2012
- ISBN 10 1461358213
- ISBN 13 9781461358213
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten304
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Surveys in Applied Mathematics is a series of volumes, each of which contains expo of several topics in mathematics and their applications. They are written at a sitions level accessible to advanced graduate students and interested nonspecialists, but they also contain the results of recent research. Volume I consists of three articles. The first is the classic paper of J. B. Keller and R. M. Lewis, 'Asymptotic Methods for Partial Differential Equations: The Reduced Wave Equation and Maxwell's Equations.' The second is by D. W. McLaughlin and E. A. Overman on 'Whiskered Tori for Integrable Pde's: Chaotic Behavior in Near Integrable Pde's.' This is a systematic analytical and numerical study of near integrable wave equations, including the sine-Gordon equations and the perturbed nonlinear SchrOdinger equation. The third article is by G. Papanicolaou on 'Diffusion in Random Media.' It is an introductory survey of homogenization methods for the diffusion equation with random diffusivity. Artikel-Nr. 9781461358213
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Surveys in Applied Mathematics: Volume 2
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