MARC details
| 000 -LEADER |
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| fixed length control field |
05580cam a2200397Mi 4500 |
| 001 - CONTROL NUMBER |
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ocn844311053 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105409.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
091123s2013 enka ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
WSPC |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
STF |
| Modifying agency |
YDXCP |
| -- |
IDEBK |
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NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781848162761 |
| Qualifying information |
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| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA374 |
| Item number |
.N385 2013 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
NTA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ben-Artzi, Matania, |
| Dates associated with a name |
1948- |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
Navier-Stokes equations in planar domainsMatania Ben-Artzi, Jean-Pierre Croisille, Dalia Fishelov. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
London : |
| Name of publisher, distributor, etc. |
Imperial College Press ; |
| Date of publication, distribution, etc. |
2013. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Singapore : |
| Name of publisher, distributor, etc. |
Distributed by World Scientific Pub. Company, |
| Date of publication, distribution, etc. |
(c)2013. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xii, 302 pages) |
| Other physical details |
illustrations. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| Source |
rda |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Pt. I. Basic theory. 1. Introduction. 1.1. Functional notation -- |
| Title |
2. Existence and uniqueness of smooth solutions. 2.1. The linear convection-diffusion equation. 2.2. Proof of theorem 2.1. 2.3. Existence and uniqueness in Hölder spaces. 2.4. Notes for chapter 2 -- |
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3. Estimates for smooth solutions. 3.1. Estimates involving [symbol. 3.2. Estimates involving [symbol. 3.3. Estimating derivatives. 3.4. Notes for chapter 3 -- |
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4. Extension of the solution operator. 4.1. An intermediate extension. 4.2. Extension to initial vorticity in [symbol. 4.3. Notes for chapter 4 -- |
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5. Measures as initial data. 5.1. Uniqueness for general initial measures. 5.2. Notes for chapter 5 -- |
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6. Asymptotic behavior for large time. 6.1. Decay estimates for large time. 6.2. Initial data with stronger spatial decay. 6.3. Stability of steady states. 6.4. Notes for chapter 6 -- |
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A. Some theorems from functional analysis. A.1. The Calderón-Zygmund theorem. A.2. Young's and the Hardy-Littlewood-Sobolev inequalities. A.3. The Riesz-Thorin interpolation theorem. A.4. Finite Borel measures in [symbol] and the heat kernel -- |
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part II. Approximate solutions. 7. Introduction -- |
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8. Notation. 8.1. One-dimensional discrete setting. 8.2. Two-dimensional discrete setting -- |
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9. Finite difference approximation to second-order boundary-value problems. 9.1. The principle of finite difference schemes. 9.2. The three-point Laplacian. 9.3. Matrix representation of the three-point Laplacian. 9.4. Notes for chapter 9 -- |
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10. From Hermitian derivative to the compact discrete biharmonic operator. 10.1. The Hermitian derivative operator. 10.2. A finite element approach to the Hermitian derivative. 10.3. The three-point biharmonic operator. 10.4. Accuracy of the three-point biharmonic operator. 10.5. Coercivity and stability properties of the three-point biharmonic operator. 10.6. Matrix representation of the three-point biharmonic operator. 10.7. Convergence analysis using the matrix representation. 10.8. Notes for chapter 10 -- |
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11. Polynomial approach to the discrete biharmonic operator. 11.1. The biharmonic problem in a rectangle. 11.2. The biharmonic problem in an irregular domain. 11.3. Notes for chapter 11 -- |
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12. Compact approximation of the Navier-Stokes equations in streamfunction formulation. 12.1. The Navier-Stokes equations in streamfunction formulation. 12.2. Discretizing the streamfunction equation. 12.3. Convergence of the scheme. 12.4. Notes for chapter 12 -- |
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B. Eigenfunction approach for [symbol. B.1. Some basic properties of the equation. B.2. The discrete approximation -- |
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13. Fully discrete approximation of the Navier-Stokes equations. 13.1. Fourth-order approximation in space. 13.2. A time-stepping discrete scheme. 13.3. Numerical results. 13.4. Notes for chapter 13 -- |
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14. Numerical simulations of the driven cavity problem. 14.1. Second-order scheme for the driven cavity problem. 14.2. Fourth-order scheme for the driven cavity problem. 14.3. Double-driven cavity problem. 14.4. Notes for chapter 14. |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as "driven cavity" and "double-driven cavity". A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a "pure streamfunction" approach. In particular, a complete proof of convergence is given for the full nonlinear problem. This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Navier-Stokes equations. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
World Scientific (Firm) |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Croisille, Jean-Pierre, |
| Dates associated with a name |
1961- |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Fishelov, Dalia. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=592580&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=592580&site=eds-live&custid=s3260518</a> |
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Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
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| VENDOR |
EBSCO |
| Classification part |
QA |
| PUBLICATION YEAR |
c2013 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
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NFIC |
| Source of classification or shelving scheme |
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| 994 ## - |
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02 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |