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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TL;DR: In this paper, the authors construct meromorphic functions with asymptotic power series expansion in at on an Arakelyan set having prescribed zeros and poles outside the set of approximation.
Abstract: We construct meromorphic functions with asymptotic power series expansion in at on an Arakelyan set having prescribed zeros and poles outside . We use our results to prove approximation theorems where the approximating function fulfills interpolation restrictions outside the set of approximation.
1 citations
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TL;DR: In this paper, it was shown that Jorgens' asymptotic expansion theorem holds under the maximum norm. But the assumption that all the cross sections are continuous was not considered.
Abstract: This paper is devoted to discussing neutron transport system in a finite convex body with continuous energy bounded away from the origin. Under the assumptions that all the cross sections are continuous, it is shown, by virtue of the integrated semigroup theory, that Jorgens`s asymptotic expansion theorem hold under the maximum norm. 24 refs.
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TL;DR: In this article, the asymptotic equivalence of the Enskog equation with the Boltzmann equation and the hydrodynamic limit was analyzed for the case when the radius of the gas particles and the Knudsen number tend to zero.
Abstract: This paper deals with the analysis of some mathematical results on the asymptotic behaviour of the solutions to the initial value problem for the Enskog equation when the radius of the gas particles and the Knudsen number tend to zero, that is, respectively, analysis of the asymptotic equivalence with the Boltzmann equation and hydrodynamic limit.
1 citations