Analysis of the Navier-Stokes Problem: Solution of a Millennium Problem

Ramm, Alexander G.

  • 出版商: Springer
  • 出版日期: 2024-06-25
  • 售價: $1,320
  • 貴賓價: 9.5$1,254
  • 語言: 英文
  • 頁數: 87
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031307259
  • ISBN-13: 9783031307256
  • 海外代購書籍(需單獨結帳)

商品描述

This book revises and expands upon the prior edition, The Navier-Stokes Problem. The focus of this book is to provide a mathematical analysis of the Navier-Stokes Problem (NSP) in R 3 without boundaries. Before delving into analysis, the author begins by explaining the background and history of the Navier-Stokes Problem. This edition includes new analysis and an a priori estimate of the solution. The estimate proves the contradictory nature of the Navier-Stokes Problem. The author reaches the conclusion that the solution to the NSP with smooth and rapidly decaying data cannot exist for all positive times. By proving the NSP paradox, this book provides a solution to the millennium problem concerning the Navier-Stokes Equations and shows that they are physically and mathematically contradictive.

作者簡介

Alexander G. Ramm, Ph.D., is a Professor Emeritus of Mathematics at Kansas State University. He is the author of approximately 715 research papers, 20 research monographs, and an editor of three books. Dr. Ramm won the Khwarizmi international award in 2004. His research interests include analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics.

作者簡介(中文翻譯)

亞歷山大·G·拉姆(Alexander G. Ramm),博士,是堪薩斯州立大學的數學榮譽教授。他是約715篇研究論文、20本研究專著的作者,並擔任三本書的編輯。拉姆博士於2004年獲得了哈瓦里茲米國際獎。他的研究興趣包括分析、散射理論、反問題、理論物理、工程、信號估計、斷層成像、理論數值分析和應用數學。