By Sergey Gredeskul, Andrew Marchenko
Surveys in utilized arithmetic is a sequence of volumes, each one of which incorporates expo of a number of themes in arithmetic and their purposes. they're written at a sitions point obtainable to complicated graduate scholars and nonspecialists, yet in addition they include the result of contemporary examine. quantity I contains 3 articles. the 1st is the vintage paper of J. B. Keller and R. M. Lewis, "Asymptotic tools for Partial Differential Equations: The decreased Wave Equation and Maxwell's Equations." the second one is via D. W. McLaughlin and E. A. Overman on "Whiskered Tori for Integrable Pde's: Chaotic habit in close to Integrable Pde's." it is a systematic analytical and numerical learn of close to integrable wave equations, together with the sine-Gordon equations and the perturbed nonlinear SchrOdinger equation. The 3rd article is by means of G. Papanicolaou on "Diffusion in Random Media." it truly is an introductory survey of homogenization equipment for the diffusion equation with random diffusivity.
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