Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics [electronic resource]

• 作者： Roach, G. F. (Gary Francis)
• 其他作者：
  • Stratis, I. G. (Ioannis G.), 1955-
  • Yannacopoulos, A. N. (Athanasios N.), 1968-
• 其他題名：
  • Princeton series in applied mathematics
• 出版： [Princeton, NJ] : Princeton University Press
• 版本：1st ed.
• 叢書名： Princeton series in applied mathematics
• 主題： Electromagnetism--Mathematics. , Stochastic control theory. , Mathematical analysis.
• ISBN： 0691142173 、 9781400842650 (electronic bk.)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references and index. Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics -- Contents -- Preface -- Part 1: Modelling and Mathematical Preliminaries -- Chapter One: Complex Media -- Chapter Two: The Maxwell Equations and Constitutive Relations -- Chapter Three: Spaces and Operators -- Part 2: Time-Harmonic Deterministic Problems -- Chapter Four: Well Posedness -- Chapter Five: Scattering Problems: Beltrami Fields and Solvability -- Chapter Six: Scattering Problems: A Variety of Topics -- Part 3: Time-Dependent Deterministic Problems -- Chapter Seven: Well Posedness -- Chapter Eight: Controllability -- Chapter Nine: Homogenisation -- Chapter Ten: Towards a Scattering Theory -- Chapter Eleven Nonlinear Problems -- Part 4: Stochastic Problems -- Chapter Twelve: Well Posedness -- Chapter Thirteen: Controllability -- Chapter Fourteen: Homogenisation -- Part 5: Appendices -- Appendix A: Some Facts from Functional Analysis -- Appendix B: Some Facts from Stochastic Analysis -- Appendix C: Some Facts from Elliptic Homogenisation Theory -- Appendix D: Some Facts from Dyadic Analysis -- Appendix E: Notation and Abbreviations -- Bibliography -- Index.
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• 摘要註: Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory.
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