Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics /:
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2012.
|
| Schriftenreihe: | Princeton series in applied mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xv, 382 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400842650 1400842654 9781680159035 1680159038 |
Internformat
MARC
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| 082 | 7 | |a 537.01/519 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Roach, G. F. |q (Gary Francis) |1 https://id.oclc.org/worldcat/entity/E39PBJv8KjT7QDkWFY88bMQyVC |0 http://id.loc.gov/authorities/names/n81052545 | |
| 245 | 1 | 0 | |a Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / |c G.F. Roach, I.G. Stratis, A.N. Yannacopoulos. |
| 260 | |a Princeton : |b Princeton University Press, |c 2012. | ||
| 300 | |a 1 online resource (xv, 382 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Princeton series in applied mathematics | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. | |
| 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. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Electromagnetism |x Mathematics. |0 http://id.loc.gov/authorities/subjects/sh2008119286 | |
| 650 | 0 | |a Stochastic control theory. |0 http://id.loc.gov/authorities/subjects/sh92001443 | |
| 650 | 0 | |a Mathematical analysis. |0 http://id.loc.gov/authorities/subjects/sh85082116 | |
| 650 | 6 | |a Commande stochastique. | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 7 | |a SCIENCE |x Physics |x Electricity. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x Electromagnetism. |2 bisacsh | |
| 650 | 7 | |a Electromagnetism |x Mathematics |2 fast | |
| 650 | 7 | |a Mathematical analysis |2 fast | |
| 650 | 7 | |a Stochastic control theory |2 fast | |
| 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. | ||
| 655 | 4 | |a Electronic book. | |
| 700 | 1 | |a Stratis, I. G. |q (Ioannis G.), |d 1955- |1 https://id.oclc.org/worldcat/entity/E39PCjBvXVXM4JdcMmD7KdBy7d |0 http://id.loc.gov/authorities/names/n2011073731 | |
| 700 | 1 | |a Yannacopoulos, A. N. |q (Athanasios N.), |d 1968- |1 https://id.oclc.org/worldcat/entity/E39PCjByqxPCWRvg6VpC434rdP |0 http://id.loc.gov/authorities/names/n2011073733 | |
| 758 | |i has work: |a Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG9g3CWWQfkBr8YMYh7pGd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Roach, G.F. (Gary Francis). |t Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics. |d Princeton : Princeton University Press, 2012 |w (DLC) 2011038853 |
| 830 | 0 | |a Princeton series in applied mathematics. |0 http://id.loc.gov/authorities/names/no2002046464 | |
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| adam_text | |
| any_adam_object | |
| author | Roach, G. F. (Gary Francis) |
| author2 | Stratis, I. G. (Ioannis G.), 1955- Yannacopoulos, A. N. (Athanasios N.), 1968- |
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| contents | pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. |
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| genre | Electronic book. |
| genre_facet | Electronic book. |
| id | ZDB-4-EBA-ocn778436400 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:18:16Z |
| institution | BVB |
| isbn | 9781400842650 1400842654 9781680159035 1680159038 |
| language | English |
| lccn | 2011038853 |
| oclc_num | 778436400 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 382 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton series in applied mathematics. |
| series2 | Princeton series in applied mathematics |
| spelling | Roach, G. F. (Gary Francis) https://id.oclc.org/worldcat/entity/E39PBJv8KjT7QDkWFY88bMQyVC http://id.loc.gov/authorities/names/n81052545 Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos. Princeton : Princeton University Press, 2012. 1 online resource (xv, 382 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton series in applied mathematics Includes bibliographical references and index. pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. 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. In English. Electromagnetism Mathematics. http://id.loc.gov/authorities/subjects/sh2008119286 Stochastic control theory. http://id.loc.gov/authorities/subjects/sh92001443 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Commande stochastique. Analyse mathématique. SCIENCE Physics Electricity. bisacsh SCIENCE Physics Electromagnetism. bisacsh Electromagnetism Mathematics fast Mathematical analysis fast Stochastic control theory fast 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. Electronic book. Stratis, I. G. (Ioannis G.), 1955- https://id.oclc.org/worldcat/entity/E39PCjBvXVXM4JdcMmD7KdBy7d http://id.loc.gov/authorities/names/n2011073731 Yannacopoulos, A. N. (Athanasios N.), 1968- https://id.oclc.org/worldcat/entity/E39PCjByqxPCWRvg6VpC434rdP http://id.loc.gov/authorities/names/n2011073733 has work: Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics (Text) https://id.oclc.org/worldcat/entity/E39PCG9g3CWWQfkBr8YMYh7pGd https://id.oclc.org/worldcat/ontology/hasWork Print version: Roach, G.F. (Gary Francis). Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics. Princeton : Princeton University Press, 2012 (DLC) 2011038853 Princeton series in applied mathematics. http://id.loc.gov/authorities/names/no2002046464 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=444106 Volltext |
| spellingShingle | Roach, G. F. (Gary Francis) Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / Princeton series in applied mathematics. pt. 1. Modelling and mathematical preliminaries -- pt. 2. Time-harmonic deterministic problems -- pt. 3. Time-dependent deterministic problems -- pt. 4. Stochastic problems -- pt. 5. Appendices. Electromagnetism Mathematics. http://id.loc.gov/authorities/subjects/sh2008119286 Stochastic control theory. http://id.loc.gov/authorities/subjects/sh92001443 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Commande stochastique. Analyse mathématique. SCIENCE Physics Electricity. bisacsh SCIENCE Physics Electromagnetism. bisacsh Electromagnetism Mathematics fast Mathematical analysis fast Stochastic control theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2008119286 http://id.loc.gov/authorities/subjects/sh92001443 http://id.loc.gov/authorities/subjects/sh85082116 |
| title | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / |
| title_auth | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / |
| title_exact_search | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / |
| title_full | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos. |
| title_fullStr | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos. |
| title_full_unstemmed | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / G.F. Roach, I.G. Stratis, A.N. Yannacopoulos. |
| title_short | Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics / |
| title_sort | mathematical analysis of deterministic and stochastic problems in complex media electromagnetics |
| topic | Electromagnetism Mathematics. http://id.loc.gov/authorities/subjects/sh2008119286 Stochastic control theory. http://id.loc.gov/authorities/subjects/sh92001443 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Commande stochastique. Analyse mathématique. SCIENCE Physics Electricity. bisacsh SCIENCE Physics Electromagnetism. bisacsh Electromagnetism Mathematics fast Mathematical analysis fast Stochastic control theory fast |
| topic_facet | Electromagnetism Mathematics. Stochastic control theory. Mathematical analysis. Commande stochastique. Analyse mathématique. SCIENCE Physics Electricity. SCIENCE Physics Electromagnetism. Electromagnetism Mathematics Mathematical analysis Stochastic control theory Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=444106 |
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