Applications of Homogenization Theory to the Study of Mineralized Tissue
暫譯: 均質化理論在礦化組織研究中的應用
Gilbert, Robert P., Vasilic, Ana, Klinge, Sandra
- 出版商: CRC
- 出版日期: 2020-12-29
- 售價: $4,910
- 貴賓價: 9.5 折 $4,665
- 語言: 英文
- 頁數: 297
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1584887915
- ISBN-13: 9781584887911
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相關主題
商品描述
Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures.
Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering.
The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes.
Features:
- Covers applications in both geophysics and biology.
- Includes recent results not found in classical books on the topic
- Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence
- Includes new results where the G-limits have different structures from the initial operators
商品描述(中文翻譯)
均質化是一個相對較新但深奧的數學領域，作為分析涉及多重尺度的應用問題的強大工具。一般而言，均質化被用作建模程序，以描述複雜結構中的過程。
《均質化理論在礦化組織研究中的應用》作為均質化理論的介紹。同時，本書解釋了如何將該理論應用於生物學、物理學和工程學中的各種應用問題。
作者是該領域的專家，合作創作了這本書，這是一本對應用數學家、工程師和地球物理學家有用的研究專著。對於學生和教師而言，這本書是研究生課程或特殊數學課程中有關均質化主題的全面且完整的教材。
特色：
- 涵蓋地球物理學和生物學中的應用。
- 包含在該主題的經典書籍中找不到的最新結果。
- 專注於演化類問題；與處理變分方法和T收斂的書籍重疊較少。
- 包含G極限具有與初始算子不同結構的新結果。
作者簡介
Robert P. Gilbert is a Unidel Professor of Mathematics at the University of Delaware and has authored numerous papers and articles for journals and conferences. He is also a founding editor of Complex Variables and Applicable Analysis and serves on many editorial boards. His current research involves the area of inverse problems, homogenization and the flow of viscous fluids.
Ana Vasilic is an associate professor of mathematics at Northern New Mexico College. She has contributed to mathematical publications such as Mathematical and Computer Modeling and Applicable Analysis. Her research interests include applied analysis, partial differential equations, homogenization and multiscale problems in porous media.
Sandra Klinge is an assistant professor in computational mechanics at Technische Universitat, Dortmund, Germany. She has written several articles for science journals and contributed to many books. Homogenization, modeling of polymers and multiscale modeling are among her research interests.
Alex Panchenko is a professor of mathematics at Washington State University and has written for several publications, many of which are collaborations with Robert Gilbert. These include journals such as SIAM Journal Math. Analysis and Mathematical and Computer Modeling.
Klaus Hackl is a professor of mechanics at Ruhr-Universitat Bochum, Germany and has made many scholarly contributions to various journals. His research interests include continuum mechanics, numerical mechanics, modeling of materials and multiscale problems.
作者簡介(中文翻譯)
羅伯特·P·吉爾伯特是德拉瓦大學的Unidel數學教授，並為多個期刊和會議撰寫了大量論文和文章。他也是複變數和應用分析的創始編輯，並在許多編輯委員會中任職。他目前的研究涉及逆問題、均質化以及黏性流體的流動領域。
安娜·瓦西利奇是北新墨西哥學院的數學副教授。她曾為數學出版物如數學與計算建模和應用分析做出貢獻。她的研究興趣包括應用分析、偏微分方程、均質化以及多尺度的多孔介質問題。
桑德拉·克林格是德國多特蒙德工業大學的計算力學助理教授。她為科學期刊撰寫了幾篇文章，並為多本書籍做出貢獻。均質化、聚合物建模和多尺度建模是她的研究興趣之一。
亞歷克斯·潘琴科是華盛頓州立大學的數學教授，並為多個出版物撰寫文章，其中許多是與羅伯特·吉爾伯特的合作作品，包括SIAM數學分析期刊和數學與計算建模。
克勞斯·哈克爾是德國魯爾大學的力學教授，並為多個期刊做出了許多學術貢獻。他的研究興趣包括連續介質力學、數值力學、材料建模和多尺度問題。
