Titlebook: Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances; Herbert Steinrück Book 2010 CISM Udine 2010 Exponential asymptotics.Flu

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Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances978-3-7091-0408-8Series ISSN 0254-1971 Series E-ISSN 2309-3706

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https://doi.org/10.1007/978-0-387-68407-9d PDE problems. It has been successfully used in a wide variety of applications (cf. Kevorkian and Cole (1993), Lagerstrom (1988), Dyke (1975)). However, there are certain special classes of problems where this method has some apparent limitations.

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Exponential Asymptotics and Generalized Solitary Waves,e waves have a central core of finite amplitude, but are accompanied by co-propagating oscillatory tails whose amplitude is exponentially small. Special interest lies in the possibility that for certain parameter values, the amplitude of the oscillatory tails may be zero, leading to the important concept of embedded solitary waves.

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0254-1971 Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.978-3-7091-1690-6978-3-7091-0408-8Series ISSN 0254-1971 Series E-ISSN 2309-3706

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