Kirchhoff Equations: A Variational Approach
暫譯: 基爾霍夫方程：變分方法
Rădulescu, Vicenţiu D.
- 出版商: CRC
- 出版日期: 2026-08-25
- 售價: $5,120
- 貴賓價: 9.5 折 $4,864
- 語言: 英文
- 頁數: 294
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1041351860
- ISBN-13: 9781041351863
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相關分類:
工程數學 Engineering-mathematics
尚未上市，無法訂購
商品描述
Kirchhoff Equations: A Variational Approach is primarily focussed on recent results concerning existence, multiplicity and the asymptotic behaviour of solutions to some stationary Kirchhoff problems, involving fractional integro-differential elliptic operators, and presenting difficulties relating to an intrinsic lack of compactness, which are elucidated upon within the text. These operators appear in a quite natural way in many different applications, such as, continuum mechanics, phase transition phenomena, population dynamics and game theory, as they are the typical outcome of stochastically stabilization of Lévy processes.
This book will be of interest to postgraduates in applied mathematics, with a particular emphasis for those working in differential and partial differential equations. It will also find an audience among researchers interested in the qualitative, quantitative and asymptotic analysis of various types of solutions to the Kirchhoff equation.
Features
- Each chapter concludes with a detailed glossary and set of open problems.
- Rigorous proofs and illustrative examples.
- Broad-spectrum appeal to both applied mathematicians and those in other qualitative disciplines such as engineering.
商品描述(中文翻譯)
《基爾霍夫方程：變分方法》主要集中於有關某些靜態基爾霍夫問題的解的存在性、多重性及漸近行為的最新結果，這些問題涉及分數積分微分橢圓算子，並呈現出與內在缺乏緊湊性相關的困難，這些在文本中有詳細闡述。這些算子在許多不同的應用中以相當自然的方式出現，例如連續介質力學、相變現象、種群動態和博弈論，因為它們是隨機穩定化Lévy過程的典型結果。
本書將對應用數學的研究生特別感興趣，尤其是那些從事微分方程和偏微分方程的研究者。它也將吸引對基爾霍夫方程各類解的定性、定量及漸近分析感興趣的研究人員。
特色
- 每章結尾都有詳細的詞彙表和一系列未解問題。
- 嚴謹的證明和示例。
- 對應用數學家及其他定性學科（如工程學）的人士具有廣泛的吸引力。
作者簡介
Vicenţiu D. Rǎdulescu is a Professor at the AGH University of Krakow, Brno University of Technology and Professorial Fellow at the Simion Stoilow Institute of Mathematics of the Romanian Academy. He was also a Distinguished Visiting Scientist at the University of Ljubljana (2008), Distinguished Adjunct Professor at the King Abdulaziz University in Jeddah (2014-2021), and Highly Cited Researcher (2014, 2019-2021). He is a member of the Accademia Peloritana dei Pericolanti (since 2014), Accademia delle Scienze dell'Umbria (since 2017), Senior Research Fellow of the City University of Hong Kong (2015), and Senior Research Fellow of the Central South University (2024-2026). He has editorial positions at the De Gruyter Series in Nonlinear Analysis and Applications, Journal of Geometric Analysis, Mathematical Methods in the Applied Sciences, Asymptotic Analysis, Complex Variables and Elliptic Equations, and Rendiconti del Circolo Matematico di Palermo. Vicenţiu D. Rǎdulescu is also Editor-in-Chief of Bulletin of Mathematical Sciences, Opuscula Mathematica, and Boundary Value Problems.
作者簡介(中文翻譯)
Vicențiu D. Rădulescu 是克拉科夫 AGH 大學的教授、布爾諾科技大學的教授，以及羅馬尼亞科學院 Simion Stoilow 數學研究所的教授研究員。他曾於 2008 年擔任盧布爾雅那大學的傑出訪問科學家，2014 至 2021 年擔任吉達的阿卜杜勒阿齊茲國王大學的傑出兼任教授，並於 2014 年及 2019 至 2021 年被評選為高被引研究者。他是佩洛里塔納科學院（自 2014 年起）、翁布里亞科學院（自 2017 年起）的成員，並於 2015 年成為香港城市大學的高級研究員，2024 至 2026 年擔任中南大學的高級研究員。他在 De Gruyter 非線性分析與應用系列、幾何分析期刊、應用科學中的數學方法、漸近分析、複變數與橢圓方程以及巴勒莫數學會報等期刊擔任編輯職務。Vicențiu D. Rădulescu 也是《數學科學通訊》、《數學小品》和《邊界值問題》的主編。
