Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena. (Record no. 68783)
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| fixed length control field | 04694nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113249 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124537.0 |
| 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 | 240724s2010 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821882054 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821849767 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113249 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113249 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10878704 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922980921 |
| 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 | QA377 -- .N695 2008eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.353 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Holden, Helge. |
| 245 10 - TITLE STATEMENT | |
| Title | Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena. |
| 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 | 2010. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (402 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 | Contemporary Mathematics Series ; |
| Volume/sequential designation | v.526 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- A hyperbolic model of granular flow -- 1. The model of granular flow -- 2. Global smooth solutions -- 3. Global existence of large BV solutions -- 4. Global BV solutions of an initial boundary value problem -- 5. Slow erosion limit -- References -- Hilbertian approaches to some non-linear conservation laws -- On the asymptotic behavior of the gradient flow of a polyconvex functional -- On degenerate partial differential equations -- Symmetric solutions to multi-dimensional conservation laws -- Product estimates for wave-Sobolev spaces in 2 + 1 and 1 + 1 dimensions -- 1. Introduction -- 2. Notation and preliminaries -- 3. The case b0 = b1 = 0 < -- b2 -- 4. The case b0 = 0 < -- b1, b2 in 2d -- 5. The case 0 < -- b0, b1, b2 in 2d -- 6. The case b0 < -- 0 < -- b1, b2 in 2d -- 7. The product law in 1d -- References -- On the Cauchy problem for the modified Korteweg-de Vries equation with steplike finite-gap initial data -- Asymptotic analysis in thermodynamics of viscous fluids -- 1. Introduction -- 2. Mathematical theory of fluid dynamics -- 3. Long-time behavior -- 4. Scale analysis -- References -- Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation -- Instability of solitary waves for a nonlinearly dispersive equation -- Kinetic relations for undercompressive shock waves. Physical, mathematical,and numerical issues -- Global regularity, and wave breaking phenomena in a class of nonlocaldispersive equations -- Potential based, constraint preserving, genuinely multi-dimensional schemes for systems of conservation laws -- A local and low-order Navier-Stokes-Korteweg system -- Local existence for viscous system of conservation laws: Hs-data with s > -- 1 + d/2 -- Finite difference methods for discretizing singular source terms in a Poisson interface problem. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09.The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type systems in models for phase transitions, nonlinear evolution equations, degenerate/mixed type equations in fluid mechanics and differential geometry, nonlinear dispersive wave equations (Korteweg-de Vries, Camassa-Holm type, etc.), and Poisson interface problems and level set formulations. |
| 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 | Differential equations, Nonlinear -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations, Hyperbolic -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations, Partial -- Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Karlsen, Kenneth H. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Holden, Helge |
| Title | Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2010 |
| International Standard Book Number | 9780821849767 |
| 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 | Contemporary Mathematics Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113249">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113249</a> |
| Public note | Click to View |
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