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arXiv 2608.06401math.HO

米哈伊尔·阿列克谢耶维奇·拉夫连季耶夫与流体动力学——纪念他诞辰125周年

Mikhail Alekseevich Lavrentiev and Fluid Dynamics. On the 125th anniversary of his birth

Vladimir A. Vladimirov

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中文总结 AI 辅助

本文纪念拉夫连季耶夫诞辰125周年,介绍其在力学、数学及工程领域的应用研究,填补了其应用成就综述的空白,旨在让该领域获得应有的认可。

中文摘要 AI 辅助

本文旨在推介并阐明杰出科学家米哈伊尔·阿列克谢耶维奇·拉夫连季耶夫的应用研究工作,他在力学与数学领域提出了新思想并取得诸多杰出成果,还在前苏联发起并推动了力学与应用数学领域的大量蓬勃发展的活动。他是纯粹数学、应用数学及工程领域的杰出研究者,在应用研究方面,其工作涵盖流体动力学、爆炸物理学、力学、技术及多个工程分支,始终以应对其所处时代的实际挑战为目标并取得了令人瞩目的成功。尽管已有大量关于他的传记材料及纯粹数学活动的综述发表,但目前尚无关于其应用成就的综述,本文旨在让拉夫连季耶夫的应用研究工作在流体动力学、应用数学、工程及科学史领域获得应有的认可。

英文摘要

The purpose of the present paper is to advertise and illuminate the applied research of Mikhail Alekseyevich Lavrentiev, a distinguished scientist who generated new ideas and obtained many outstanding results in mechanics and mathematics. He also initiated and maintained numerous flourishing activities in mechanics and applied mathematics in the former Soviet Union. He was notably an outstanding researcher in pure and applied mathematics as well as in engineering. On the applied side, his research spanned fluid dynamics, explosion physics, mechanics, technology, and several branches of engineering. It was always aimed at the practical challenges of his time and achieved impressive successes. It has been fascinating to uncover all of this. Much of his biographical material and a review of his activities in pure mathematics have been published, but no review of his applied achievements is available. This paper aims to give Lavrentiev's applied research the recognition it deserves in the communities of fluid dynamics, applied mathematics, engineering, and the history of science.

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