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."
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