Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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01 Jan 1995
TL;DR: This paper presents an asymptotic approximation of the Navier-Stokes model for small and large mean free path and some models of this approximation are compared to the Boltzmann model.
Abstract: Preface The basics of asymptotics Perturbation theory Model examples Models of asymptotic approximation of the Navier-Stokes model Asymptotic approximation of the Boltzmann model for small and large mean free path Other models of asymptotic approximation References Index
24 citations
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TL;DR: In this article, a class of two-point boundary value problems (TPBVPs) which arise in fixed final time free endpoint optimal control problems is considered, and an asymptotic power series solution of the TPBVP is constructed with respect to a parameter whose perturbation changes the differential order of the problem.
Abstract: A class of two-point boundary value problems (TPBVP’s) which arise in fixed final time free endpoint optimal control problems is considered. An asymptotic power series solution of the TPBVP is constructed with respect to a parameter whose perturbation changes the differential order of the problem. Based on a stability hypothesis, the proof of asymptotic correctness is accomplished through a successive approximation scheme.
24 citations
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24 citations
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23 citations