Tangential Boundary Stabilization of Navier-Stokes Equations. (Record no. 69661)
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| fixed length control field | 04823nam a22005173i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114130 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124601.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2006 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470404567 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821838747 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114130 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114130 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039749 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981700 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA374 -- .B37 2006eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;515/.353 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Barbu, Viorel. |
| 245 10 - TITLE STATEMENT | |
| Title | Tangential Boundary Stabilization of Navier-Stokes Equations. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2006. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (146 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.181 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Acknowledgements -- Chapter 1. Introduction -- Chapter 2. Main results -- Chapter 3. Proof of Theorems 2.1 and 2.2 on the linearized system ( 2.4): d = 3 -- 3.1. Abstract models of the linearized problem ( 2.3). Regularity -- 3.2. The operator D*A, D*:H→(L[sup(2)](T))[sub(D)] -- 3.3. A critical boundary property related to the boundary c.c. in ( 3.1.2e) -- 3.4. Some technical preliminaries -- space and system decomposition -- 3.5. Theorem 2.1, general case d = 3: An infinite-dimensional open-loop boundary controller g satisfying the FCC (3.1.22)-(3.1.24) for the linearized system… -- 3.6. Feedback stabilization of the unstable [sub(Z)]N-system ( 3.4.9) on Z[sup(u)][sub(N)] under the FDSA -- 3.7. Theorem 2.2, case d = 3 under the FDSA: An open-loop boundary controller g satisfying the FCC ( 3.1.22)-( 3.1.24) for the linearized system… -- Chapter 4. Boundary feedback uniform stabilization of the linearized system( 3.1.4) via an optimal control problem and corresponding Riccati theory. Case d = 3 -- 4.0. Orientation -- 4.1. The optimal control problem ( Case d = 3) -- 4.2. Optimal feedback dynamics: the feedback semigroup and its generator on W -- 4.3. Feedback synthesis via the Riccati operator -- 4.4. Identification of the Riccati operator R in ( 4.1.8) with the operator R[sub(1)] in ( 4.3.1) -- 4.5. A Riccati-type algebraic equation satisfied by the operator R on the domain D(A[sup2)][Sub(R)], Where A[sub(R)] is the feedback generator -- Chapter 5. Theorem 2.3(i): Well-posedness of the Navier-Stokes equations with Riccati-based boundary feedback control. Case d = 3 -- Chapter 6. Theorem 2.3(ii): Local uniform stability of the Navier-Stokes equations with Riccati-based boundary feedback control -- Chapter 7. A PDE-interpretation of the abstract results in Sections 5 and 6. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Appendix A. Technical Material Complementing Section 3.1 -- A. l. Extension of the Leray Projector P Outside the Space (L[sup(2)](Ω))[sup(d)] -- A. 2. Definition and Regularity of the Dirichlet Map in the General Case. Abstract Model -- Appendix B. Boundary feedback stabilization with arbitrarily small supportof the linearized system -- B.1. An open loop infinite dimensional boundary controller g ε L[sup(2)](0,∞) -- (L[sup(2)](T[sub(1)])[sup[sup(d)]), T[sub(1)] arbitrary, for the linearized system -- B.2. Feedback stabilization in (H[sup3/2 ε)(Ω))[sup(d)], d = 2,3, of the N S linearized system -- B.3. Completion of the proof of Theorem 2.5 and Theorem 2.6 for the N-S model (1.1), d = 2 -- B.4. A regularity property of the Riccati operator corresponding to the linearized operator A in (1.11) -- Appendix C. Equivalence between unstable and stable versions of the Optimal Control Problem of Section 4 -- Appendix D. Proof that FS(.) εL(W -- L[sup(2)](0,∞) -- (L[sup(2)](T))[sup(d)] -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Navier-Stokes equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Boundary layer. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical optimization. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Riccati equation. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lasiecka, Irena. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Triggiani, Roberto. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Barbu, Viorel |
| Title | Tangential Boundary Stabilization of Navier-Stokes Equations |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2006 |
| International Standard Book Number | 9780821838747 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114130">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114130</a> |
| Public note | Click to View |
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