Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II
暫譯: 理論與計算流體力學：存在性、爆炸與離散外微積分問題，第二卷

Moschandreou, Terry E., Afas, Keith, Nguyen, Khoa

Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II
  • 出版商: CRC
  • 出版日期: 2025-12-23
  • 售價: $5,660
  • 貴賓價: 9.5 折 $5,377
  • 語言: 英文
  • 頁數: 523
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032989319
  • ISBN-13: 9781032989310
  • 相關分類: 流體力學 Fluid-mechanics

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Theoretical and Computational Fluid Mechanics: Existence, Blowup and Discrete Exterior Calculus Problems, Volume II is self-contained, though it builds upon the work of the previous volume in providing a comprehensive introduction to the mathematical theory of incompressible flows, with a focus on the foundational structures, analytical techniques, and open problems associated with the Navier-Stokes equations. In this volume, emphasis is placed on the interplay between geometry, functional analysis, and partial differential equations that underpins much of modern fluid theory. As a reference or teaching supplement, the book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding. The book is aimed at theorists and applied mathematicians from a wide range of scientific fields, including the social, health, and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models, and for the applications of such models for the functional analysis and real analysis of data.

Features

  • Offers a self-contained treatment that does not require a previous background in fluid dynamics

  • Suitable as a reference text for graduate students, researchers, and professionals, and could easily be used as a teaching resource

  • Provides various examples using Maple, Mathematica, and to a lesser extent MATLAB(R) programming languages.

商品描述(中文翻譯)

《理論與計算流體力學：存在性、爆炸與離散外微積分問題，第二卷》是一本自成體系的書籍，雖然它建立在前一卷的基礎上，提供了對不可壓流動數學理論的全面介紹，重點在於與Navier-Stokes方程相關的基礎結構、分析技術和未解決問題。在這一卷中，強調了幾何學、泛函分析和偏微分方程之間的相互作用，這是現代流體理論的基礎。作為參考書或教學補充材料，本書對於具備基本流體力學理解的人士都能輕鬆接觸，同時對於更深入理解的讀者也具有吸引力。本書的目標讀者是來自社會科學、健康科學和物理科學等廣泛科學領域的理論家和應用數學家。它提供了對粘性和非粘性模型的基本問題和開放問題解決方案構建的逐步指導，以及這些模型在數據的泛函分析和實分析中的應用。

特色
- 提供自成體系的處理，不需要先前的流體力學背景
- 適合作為研究生、研究人員和專業人士的參考文本，並且可以輕鬆用作教學資源
- 提供使用Maple、Mathematica以及在較小程度上使用MATLAB(R)編程語言的各種範例。

作者簡介

Terry E. Moschandreou has taught mathematics at the University of Western Ontario in the School of Mathematical and Statistical Sciences where he worked for several years. He received his PhD degree in Applied Mathematics from the University of Western Ontario in 1996.

Keith Afas is a graduate researcher at the University of Western Ontario (UWO), who has been engaged in applied mathematics and
mathematical modelling research since 2014, leading to multiple first-author and co-author publications, posters, conference presentations, and book chapters in a variety of topics.

Khoa Nguyen has taught applied mathematics at Western University at London, Ontario, Canada since 2001 to present. Most
of his students are engineering and science students. His interests are varying from physics to engineering, mathematics, and applications of mathematics to these fields. He has had two publications on Physical Review D with his collaborators and a book on numerical methods in C and Matlab with his colleague. He has a wife and two sons. They live in London, Ontario, Canada.

Konstantinos E. Kyritsis is an associate professor at the University of Ioannina, Greece, affiliated with the School of Economics. Born in 1959 in Greece, he received his PhD in mathematics from the University of Athens in Greece, and he has worked at various other universities, like the University of Portsmouth in the UK. He has contributed to interdisciplinary research encompassing fields such as mathematics, physics, computer science, economics, philosophy, psychology, and music. He has proposed a solution for the 4th millennium problem about the Navier-Stokes equations and has applied the Navier-Stokes equations in understanding the renewable energy discovered by N. Tesla almost one century ago.

作者簡介(中文翻譯)

Terry E. Moschandreou 曾在西安大略大學的數學與統計科學學院教授數學，並在該校工作多年。他於1996年獲得西安大略大學的應用數學博士學位。

Keith Afas 是西安大略大學（UWO）的研究生研究員，自2014年以來一直從事應用數學和數學建模研究，並在多個主題上發表了多篇第一作者和共同作者的論文、海報、會議報告和書籍章節。

Khoa Nguyen 自2001年至今在加拿大安大略省倫敦的西方大學教授應用數學。他的大多數學生都是工程和科學專業的學生。他的興趣涵蓋物理學、工程學、數學及其在這些領域的應用。他與合作者在《Physical Review D》上發表了兩篇論文，並與同事合著了一本關於C和Matlab數值方法的書籍。他有一位妻子和兩個兒子，他們居住在加拿大安大略省倫敦。

Konstantinos E. Kyritsis 是希臘伊奧尼納大學的副教授，隸屬於經濟學院。他於1959年出生於希臘，並在希臘雅典大學獲得數學博士學位，曾在英國的朴茨茅斯大學等多所其他大學工作。他對跨學科研究做出了貢獻，涵蓋數學、物理學、計算機科學、經濟學、哲學、心理學和音樂等領域。他提出了解決有關Navier-Stokes方程的第四千年問題的方案，並應用Navier-Stokes方程來理解近一世紀前N. Tesla發現的可再生能源。

類似商品