Flexural Gravity Waves: The Mathematical Theory and Applications
暫譯: 彎曲重力波：數學理論與應用

這本專著描述了與海洋工程相關的彎曲重力波傳播的數學技術。它專注於水彈性學中的前沿問題，包括在均勻和分層流體中彎曲重力波的阻塞動力學。重新探討了各種具有相似色散關係的波-結構互動問題，並通過現實物理問題展示了解決方案。它涵蓋了波-結構互動的頻率和時間域分析的發展。

特色：
- 提供全面的理論分析和數學技術，對於推進水彈性學、波-結構互動及相關領域的研究至關重要
- 提供適用於超大型浮體（VLFSs）、海上平台和沿海結構開發的實用設計解決方案和方法論
- 專注於頻率域和時間域問題，以及線性和非線性問題
- 用於諧波傳播波的波散射方法被推廣，以處理在阻塞動力學背景下的多重傳播波
- 討論了在斜波情況下的二維和三維各種問題

本書旨在為海洋水動力學、海洋工程、波-結構互動和應用數學的研究生和研究人員提供參考。

T Sahoo has expertise in both the analytic and numerical methods for dealing with a wide variety of problems in Hydroelasticity and Coastal hydrodynamics arising in Ocean Engineering. After his doctoral research based on Fourier analysis and allied methods for scattering and radiation of water waves, he has made a seminal contribution by pursuing interdisciplinary research on wave-structure interaction problems arising in ocean engineering during the last 28 years. His research contributions to mathematical and physical science are reflected in his 260 publications in journals and conference proceedings and a single-authored monograph published by CRC press. Moreover, he has contributed significantly to various outreach programmes to promote marine hydrodynamics in India, in addition to having more than 24 years of teaching and research experience at IIT Kharagpur.

MH Meylan is an expert in wave scattering in both the time and frequency domains. Much of his research has been connected with wave water scattering, especially with hydroelasticity, but he has also worked on photonics and more general wave scattering theory. He is especially interested in the connection between frequency- and time-domain problems and the phenomenon of near-trapping. However, the primary focus of his research has been understanding the process of wave scattering in the Marginal Ice Zone. This scattering is an extremely complicated wave scattering which is very poorly understood. He has been responsible for some of the most important models developed in the last twenty-five years.

Y Stepanyants is an expert in nonlinear wave theory. Most of his research was devoted to wave propagation in linear and nonlinear dispersive media. He studied wave-current interactions, shear flow instabilities, wave generation by moving sources, etc. He developed a concept of negative energy waves in application to hydrodynamic problems. He is also an expert in physical oceanography. He has studied solitary wave dynamics in the open oceans and in the coastal zones, taking into account Earth's rotation, medium inhomogeneity, dissipation, cylindrical divergence, and other natural factors. Prof. Stepanyants is the author of the most cited reviews on oceanic solitary waves. He was the first to gather data on the manifestation of internal solitary waves in the World Ocean and create a map of observational results. He presented the statistics of internal solitary waves and suggested a method of calculation of soliton spectra and the distribution function of solitary waves. He also studied wave transformation on underwater obstacles, the dynamics of Rossby waves and vortices, as well as the influence of ice cover on Rossby and gravity waves.

S Boral is an applied mathematician with six years of experience in wave structure interaction problems. His research focusses on the interaction of surface gravity waves with floating and submerged flexible structures in various fluid environments, including homogeneous and stratified fluids. He investigates the effects of lateral compressive forces on floating and submerged flexible structures and the scattering of flexural-gravity waves caused by structural heterogeneity and undulated seabeds. Recently, he has focused on the resonant response of floating flexible structures under external loads. Dr. Boral has published fourteen peer-reviewed international journal papers and completed his PhD a year ago. He is dedicated to advancing the field of wave-structure interactions.

S Das is an applied mathematician working on wave structure interaction problems for the last 15 years. He has worked on various structures, such as porous, poroelastic, and viscoelastic in nature. His primary research objective lies in studying wave propagation, scattering, and trapping problems. Dr. Das has published more than 27 international peer-reviewed journal articles. Recently, he has made significant progress in the field of hydroelasticity by including the effect of wave blocking, which eventually contributes to the field of analogue gravity. Recently, he started working on acoustic-gravity waves (AGW) in the ocean, which could be a possible means for early tsunami wave detection.

T Sahoo 在水彈性和海岸水動力學方面擁有分析和數值方法的專業知識，這些問題在海洋工程中相當多樣化。在他的博士研究中，他基於傅立葉分析及相關方法研究水波的散射和輻射，並在過去28年中，通過進行跨學科研究，對海洋工程中波-結構相互作用問題做出了開創性的貢獻。他在數學和物理科學方面的研究貢獻反映在他260篇期刊和會議論文的出版物中，以及由CRC出版社出版的單著專著。此外，他在印度推廣海洋水動力學的各種外展計劃中也做出了重要貢獻，並在IIT Kharagpur擁有超過24年的教學和研究經驗。

MH Meylan 是時間和頻率域波散射的專家。他的許多研究與水波散射有關，特別是與水彈性相關，但他也研究了光子學和更一般的波散射理論。他特別對頻率域和時間域問題之間的聯繫以及近陷現象感興趣。然而，他的研究主要集中在理解邊際冰區的波散射過程。這種散射是一種極其複雜的波散射，目前對其理解非常有限。在過去的二十五年中，他負責開發了一些最重要的模型。

Y Stepanyants 是非線性波理論的專家。他的大部分研究致力於線性和非線性色散介質中的波傳播。他研究了波流相互作用、剪切流不穩定性、移動源產生的波等。他在應用於水動力學問題時提出了負能量波的概念。他也是物理海洋學的專家。他研究了開放海域和沿海區域的孤立波動力學，考慮了地球自轉、介質不均勻性、耗散、圓柱形發散和其他自然因素。Stepanyants教授是有關海洋孤立波的最被引用的綜述文章的作者。他是第一個收集世界海洋中內部孤立波表現數據並創建觀測結果地圖的人。他展示了內部孤立波的統計數據，並提出了孤子光譜和孤立波分佈函數的計算方法。他還研究了水下障礙物上的波變換、羅斯比波和渦旋的動力學，以及冰蓋對羅斯比波和重力波的影響。

S Boral 是一位應用數學家，擁有六年的波結構相互作用問題經驗。他的研究專注於表面重力波與浮動和潛水柔性結構在各種流體環境中的相互作用，包括均勻和分層流體。他研究了側向壓縮力對浮動和潛水柔性結構的影響，以及由於結構異質性和起伏海床引起的彎曲重力波的散射。最近，他專注於浮動柔性結構在外部載荷下的共振響應。Boral博士已發表十四篇經過同行評審的國際期刊論文，並在一年前完成了他的博士學位。他致力於推進波-結構相互作用的領域。

S Das 是一位應用數學家，過去15年來專注於波結構相互作用問題。他研究了各種結構，如多孔、poroelastic和粘彈性結構。他的主要研究目標在於研究波傳播、散射和捕獲問題。Das博士已發表超過27篇國際同行評審的期刊文章。最近，他在水彈性領域取得了重大進展，通過納入波阻擋的影響，最終對類比重力領域做出了貢獻。最近，他開始研究海洋中的聲重力波（AGW），這可能成為早期海嘯波檢測的一種手段。