Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics / / I. G. Stratis, G. F. Roach, A. N. Yannacopoulos.

• Superior document: Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package
• VerfasserIn: Roach, G. F.,; Stratis, I. G.,; Yannacopoulos, A. N.,
• MitwirkendeR: Dassios, George,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2012]; ©2012
• Year of Publication: 2012
• Edition: Course Book
• Language: English
• Series: Princeton Series in Applied Mathematics ; 42
• Physical Description: 1 online resource (400 p.)

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 t...

Table of Contents

• Frontmatter
• 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
• Backmatter