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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26 citations
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01 Feb 1967
TL;DR: In the theory of scattering for hyperbolic equations, it is necessary to estimate the behavior of solutions to the unperturbed problem as well as the perturbed for large I t I as mentioned in this paper.
Abstract: In the theory of scattering for hyperbolic equations, it is necessary to estimate the behavior of solutions to the unperturbed problem as well as the perturbed for large I t I. At present most estimates for the wave equation or the relativistic wave equation are in the sup norm. (See [l]-[5].) The purpose of this paper is to present some simple but rather interesting estimates in L2 of solutions to
25 citations
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TL;DR: In this article, the authors considered the Navier-Stokes equations with a time-delayed convective term and a forcing term which contains hereditary features and established the existence and uniqueness of solutions.
Abstract: We consider the two-dimensional Navier-Stokes equations with a
time-delayed convective term and a forcing term which contains
some hereditary features. Some results on existence and uniqueness
of solutions are established. We discuss the asymptotic behaviour
of solutions and we also show the exponential stability of
stationary solutions.
25 citations
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TL;DR: In this paper, the authors considered natural mechanical systems that approach their equilibrium positions with unlimited increase of time and showed that the increase in time increases the probability that the system will reach its equilibrium.
25 citations