The Navier-Stokes Problem in the 21st Century
暫譯: 21世紀的納維-斯托克斯問題

Lemarie-Rieusset, Pierre Gilles

The Navier-Stokes Problem in the 21st Century
  • 出版商: CRC
  • 出版日期: 2020-09-30
  • 售價: $2,180
  • 貴賓價: 9.5 折 $2,071
  • 語言: 英文
  • 頁數: 718
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0367658577
  • ISBN-13: 9780367658571

    • 海外代購書籍(需單獨結帳)

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商品描述

Up-to-Date Coverage of the Navier-Stokes Equation from an Expert in Harmonic Analysis

 

 

 

 

 

 

 

The complete resolution of the Navier-Stokes equation--one of the Clay Millennium Prize Problems--remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier-Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics.

 

 

 

 

 

 

 

 

 

The book focuses on incompressible deterministic Navier-Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.

 

 

商品描述(中文翻譯)

來自諧波分析專家的最新納維-斯托克斯方程覆蓋

 

 

 

 

 

 

 

納維-斯托克斯方程的完整解決方案——這是克雷千禧獎問題之一——儘管在湍流和三維流體方面進行了大量研究，仍然是偏微分方程（PDEs）研究中的一個重要未解挑戰。21世紀的納維-斯托克斯問題提供了一個自成體系的指南，介紹了諧波分析在流體力學的偏微分方程中的角色。

 

 

 

 

 

 

 

 

 

本書專注於在流體填充整個空間的情況下的不可壓縮確定性納維-斯托克斯方程。它探討了方程的意義、未解問題和最近的進展。書中包括了有關局部存在性的經典結果，並研究了解的正則性或唯一性的標準。該書還包含了對方程（前）歷史的歷史參考，以及強調該領域活躍數學研究的最新參考文獻。

 

 

作者簡介

Pierre Gilles Lemarié-Rieusset is a professor at the University of Evry Val d'Essonne. Dr. Lemarié-Rieusset has constructed many widely used bases, such as the Meyer-Lemarié wavelet basis and the Battle-Lemarié spline wavelet basis. His current research focuses on the application of harmonic analysis to the study of nonlinear PDEs in fluid mechanics. He is the author or coauthor of several books, including Recent Developments in the Navier-Stokes Problem.

作者簡介(中文翻譯)

Pierre Gilles Lemarié-Rieusset 是埃夫里瓦爾德埃松大學的教授。Lemarié-Rieusset 博士構建了許多廣泛使用的基底，例如 Meyer-Lemarié 小波基底和 Battle-Lemarié 样条小波基底。他目前的研究專注於將諧波分析應用於流體力學中非線性偏微分方程的研究。他是幾本書的作者或合著者，包括 Navier-Stokes 問題的最新發展。

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