Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics /

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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Roach, G. F. (Autor), Stratis, I. G. (Autor), Yannacopoulos, A. N. (Autor)
Otros Autores: Dassios, George (Contribuidor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2012]
Edición:Course Book
Colección:Princeton Series in Applied Mathematics ; 42
Temas:
Electromagnetism > Mathematics.
Mathematical analysis.
Stochastic control theory.
MATHEMATICS / Applied.
AtkinsonЗilcox expansion theorem.
Beltrami fields.
Faedo-Galerkin approach.
Herglotz wave functions.
Hilbert Uniqueness method.
Maxwell equations.
Maxwell operator.
PDEs.
applied mathematics.
auxiliary elliptic problems.
boundary controllability.
boundary integral equation.
boundary value problem.
chiral material.
chiral media.
chirality.
compact embeddings.
complex electromagnetic media.
complex media.
constitutive relations.
controllability problem.
controllability.
decompositions.
differential equations.
dispersive media.
dyadics.
eigenvalue problems.
electric flux density.
electrical engineering.
electromagnetic complex media.
electromagnetic fields.
electromagnetic media.
electromagnetic wave scattering.
electromagnetic waves.
electromagnetics.
evolution family approach.
evolution operators.
evolution problems.
exterior problems.
finite-dimensional space.
fixed point approach.
frequency.
function spaces.
general scattering theorem.
generalised integral transforms.
geometry.
handedness.
homogenisation problem.
homogenisation.
homogenised media.
homogenised system.
infinite Frchet differentiability.
integrodifferential equations.
integrodifferential evolution equation.
interior domain problem.
magnetic flux density.
mathematical modelling.
mathematical theory.
nonlinear PDEs.
nonlinear model.
nonlinear phenomena.
nonlinear problems.
nonlinearity.
operators.
optical theorem.
penetrable obstacle.
perfectly conducting obstacle.
periodic media.
physics.
plane electromagnetic waves.
reciprocity principle.
scattering problems.
scattering process.
scattering theories.
scattering theory.
semigroup approach.
semigroup arguments.
semigroup-based approach.
solvability.
spaces.
spectral theory.
standard differential.
stochastic integrodifferential equations.
time domain.
time-harmonic electromagnetic wave.
time-harmonic problems.
time.
trace operators.
two-scale expansion.
variational formulation.
vector analysis.
wave motions.
wave operators.
well posedness.
Acceso en línea:Texto completo
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Tabla de Contenidos:
  • 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

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