Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics / / I. G. Stratis, G. F. Roach, A. N. Yannacopoulos.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package |
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| 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 |
| Online Access: | |
| Physical Description: | 1 online resource (400 p.) |
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| LEADER | 09005nam a22019095i 4500 | ||
|---|---|---|---|
| 001 | 9781400842650 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20122012nju fo d z eng d | ||
| 020 | |a 9781400842650 | ||
| 024 | 7 | |a 10.1515/9781400842650 |2 doi | |
| 035 | |a (DE-B1597)447055 | ||
| 035 | |a (OCoLC)979624182 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QC760.4.M37 |b R63 2017 | |
| 072 | 7 | |a MAT003000 |2 bisacsh | |
| 082 | 0 | 4 | |a 537.01515 |2 23 |
| 100 | 1 | |a Roach, G. F., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics / |c I. G. Stratis, G. F. Roach, A. N. Yannacopoulos. |
| 250 | |a Course Book | ||
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2012] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (400 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Princeton Series in Applied Mathematics ; |v 42 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Part 1. Modelling and Mathematical Preliminaries -- |t Chapter One. Complex Media -- |t Chapter Two. The Maxwell Equations and Constitutive Relations -- |t Chapter Three. Spaces and Operators -- |t Part 2. Time-Harmonic Deterministic Problems -- |t Chapter Four. Well Posedness -- |t Chapter Five. Scattering Problems: Beltrami Fields and Solvability -- |t Chapter Six. Scattering Problems: A Variety of Topics -- |t Part 3. Time-Dependent Deterministic Problems -- |t Chapter Seven. Well Posedness -- |t Chapter Eight. Controllability -- |t Chapter Nine. Homogenisation -- |t Chapter Ten. Towards a Scattering Theory -- |t Chapter Eleven. Nonlinear Problems -- |t Part 4. Stochastic Problems -- |t Chapter Twelve. Well Posedness -- |t Chapter Thirteen. Controllability -- |t Chapter Fourteen. Homogenisation -- |t Part 5. Appendices -- |t Appendix A. Some Facts from Functional Analysis -- |t Appendix B. Some Facts from Stochastic Analysis -- |t Appendix C. Some Facts from Elliptic Homogenisation Theory -- |t Appendix D. Some Facts from Dyadic Analysis -- |t Appendix E. Notation and abbreviations -- |t Bibliography -- |t Index -- |t Backmatter |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. Designed for researchers and advanced graduate students in applied mathematics, electrical engineering, and physics, this book introduces the electromagnetics of complex media through a systematic, state-of-the-art account of their mathematical theory. The book combines the study of well posedness, homogenization, and controllability of Maxwell equations complemented with constitutive relations describing complex media. The book treats deterministic and stochastic problems both in the frequency and time domains. It also covers computational aspects and scattering problems, among other important topics. Detailed appendices make the book self-contained in terms of mathematical prerequisites, and accessible to engineers and physicists as well as mathematicians. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Electromagnetism |x Mathematics. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Stochastic control theory. | |
| 650 | 7 | |a MATHEMATICS / Applied. |2 bisacsh | |
| 653 | |a AtkinsonЗilcox expansion theorem. | ||
| 653 | |a Beltrami fields. | ||
| 653 | |a Faedo-Galerkin approach. | ||
| 653 | |a Herglotz wave functions. | ||
| 653 | |a Hilbert Uniqueness method. | ||
| 653 | |a Maxwell equations. | ||
| 653 | |a Maxwell operator. | ||
| 653 | |a PDEs. | ||
| 653 | |a applied mathematics. | ||
| 653 | |a auxiliary elliptic problems. | ||
| 653 | |a boundary controllability. | ||
| 653 | |a boundary integral equation. | ||
| 653 | |a boundary value problem. | ||
| 653 | |a chiral material. | ||
| 653 | |a chiral media. | ||
| 653 | |a chirality. | ||
| 653 | |a compact embeddings. | ||
| 653 | |a complex electromagnetic media. | ||
| 653 | |a complex media. | ||
| 653 | |a constitutive relations. | ||
| 653 | |a controllability problem. | ||
| 653 | |a controllability. | ||
| 653 | |a decompositions. | ||
| 653 | |a differential equations. | ||
| 653 | |a dispersive media. | ||
| 653 | |a dyadics. | ||
| 653 | |a eigenvalue problems. | ||
| 653 | |a electric flux density. | ||
| 653 | |a electrical engineering. | ||
| 653 | |a electromagnetic complex media. | ||
| 653 | |a electromagnetic fields. | ||
| 653 | |a electromagnetic media. | ||
| 653 | |a electromagnetic wave scattering. | ||
| 653 | |a electromagnetic waves. | ||
| 653 | |a electromagnetics. | ||
| 653 | |a evolution family approach. | ||
| 653 | |a evolution operators. | ||
| 653 | |a evolution problems. | ||
| 653 | |a exterior problems. | ||
| 653 | |a finite-dimensional space. | ||
| 653 | |a fixed point approach. | ||
| 653 | |a frequency. | ||
| 653 | |a function spaces. | ||
| 653 | |a general scattering theorem. | ||
| 653 | |a generalised integral transforms. | ||
| 653 | |a geometry. | ||
| 653 | |a handedness. | ||
| 653 | |a homogenisation problem. | ||
| 653 | |a homogenisation. | ||
| 653 | |a homogenised media. | ||
| 653 | |a homogenised system. | ||
| 653 | |a infinite Frchet differentiability. | ||
| 653 | |a integrodifferential equations. | ||
| 653 | |a integrodifferential evolution equation. | ||
| 653 | |a interior domain problem. | ||
| 653 | |a magnetic flux density. | ||
| 653 | |a mathematical modelling. | ||
| 653 | |a mathematical theory. | ||
| 653 | |a nonlinear PDEs. | ||
| 653 | |a nonlinear model. | ||
| 653 | |a nonlinear phenomena. | ||
| 653 | |a nonlinear problems. | ||
| 653 | |a nonlinearity. | ||
| 653 | |a operators. | ||
| 653 | |a optical theorem. | ||
| 653 | |a penetrable obstacle. | ||
| 653 | |a perfectly conducting obstacle. | ||
| 653 | |a periodic media. | ||
| 653 | |a physics. | ||
| 653 | |a plane electromagnetic waves. | ||
| 653 | |a reciprocity principle. | ||
| 653 | |a scattering problems. | ||
| 653 | |a scattering process. | ||
| 653 | |a scattering theories. | ||
| 653 | |a scattering theory. | ||
| 653 | |a semigroup approach. | ||
| 653 | |a semigroup arguments. | ||
| 653 | |a semigroup-based approach. | ||
| 653 | |a solvability. | ||
| 653 | |a spaces. | ||
| 653 | |a spectral theory. | ||
| 653 | |a standard differential. | ||
| 653 | |a stochastic integrodifferential equations. | ||
| 653 | |a time domain. | ||
| 653 | |a time-harmonic electromagnetic wave. | ||
| 653 | |a time-harmonic problems. | ||
| 653 | |a time. | ||
| 653 | |a trace operators. | ||
| 653 | |a two-scale expansion. | ||
| 653 | |a variational formulation. | ||
| 653 | |a vector analysis. | ||
| 653 | |a wave motions. | ||
| 653 | |a wave operators. | ||
| 653 | |a well posedness. | ||
| 700 | 1 | |a Dassios, George, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Stratis, I. G., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Yannacopoulos, A. N., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Series in Applied Mathematics eBook-Package |z 9783110515831 |o ZDB-23-PAM |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
| 776 | 0 | |c print |z 9780691142173 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400842650?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400842650 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400842650/original |
| 912 | |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013 |c 2000 |d 2013 | ||
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