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Navier-Stokes Equations in Planar Domains.
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 pr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn854974136 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 130803s2013 si o 000 0 eng d | ||
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| 020 | |a 9781848162761 | ||
| 020 | |a 1848162766 | ||
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| 029 | 1 | |a DEBBG |b BV044176504 | |
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| 035 | |a (OCoLC)854974136 | ||
| 050 | 4 | |a QA374 .B46 2013 | |
| 082 | 0 | 4 | |a 532.05201515353 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Ben-Artzi, Matania. | |
| 245 | 1 | 0 | |a Navier-Stokes Equations in Planar Domains. |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2013. | ||
| 300 | |a 1 online resource (315 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Preface; Contents; Part I Basic Theory; 1. Introduction; 1.1 Functional notation; 2. Existence and Uniqueness of Smooth Solutions; 2.1 The linear convection-diffusion equation; 2.1.1 Unbounded coefficient at t = 0; 2.2 Proof of Theorem 2.1; 2.3 Existence and uniqueness in Holder spaces; 2.4 Notes for Chapter 2; 3. Estimates for Smooth Solutions; 3.1 Estimates involving 0 L1(R2); 3.1.1 Refinement for short time; 3.2 Estimates involving 0 Lp(R2); 3.3 Estimating derivatives; 3.4 Notes for Chapter 3; 4. Extension of the Solution Operator; 4.1 An intermediate extension. | |
| 505 | 8 | |a 4.2 Extension to initial vorticity in L1(R2)4.3 Notes for Chapter 4; 5. Measures as Initial Data; 5.1 Uniqueness for general initial measures; 5.2 Notes for Chapter 5; 6. Asymptotic Behavior for Large Time; 6.1 Decay estimates for large time; 6.2 Initial data with stronger spatial decay; 6.2.1 Scaling variables and invariant manifolds; 6.3 Stability of steady states; 6.4 Notes for Chapter 6; A. Some Theorems from Functional Analysis; A.1 The Calder ́on-Zygmund Theorem; A.2 Young's and the Hardy-Littlewood-Sobolev Inequalities; A.3 The Riesz-Thorin Interpolation Theorem. | |
| 505 | 8 | |a A.4 Finite Borel measures in R2 and the heat kernelPart II Approximate Solutions; 7. Introduction; 8. Notation; 8.1 One-dimensional discrete setting; 8.2 Two-dimensional discrete setting; 9. Finite Difference Approximation to Second-Order Boundary-Value Problems; 9.1 The principle of finite difference schemes; 9.2 The three-point Laplacian; 9.2.1 General setting; 9.2.2 Maximum principle analysis; 9.2.3 Coercivity and energy estimate; 9.3 Matrix representation of the three-point Laplacian; 9.3.1 Continuous and discrete eigenfunctions; 9.3.2 Convergence analysis; 9.4 Notes for Chapter 9. | |
| 505 | 8 | |a 10. From Hermitian Derivative to the Compact Discrete Biharmonic Operator10.1 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; 11. Polynomial Approach to the Discrete Biharmonic Operator. | |
| 505 | 8 | |a 11.1 The biharmonic problem in a rectangle11.1.1 General setting; 11.1.2 The nine-point compact biharmonic operator; 11.1.3 Accuracy of the discrete biharmonic operator; 11.1.4 Coercivity and convergence properties of the discrete biharmonic operator; 11.2 The biharmonic problem in an irregular domain; 11.2.1 Embedding a Cartesian grid in an irregular domain; 11.2.2 The biharmonic 2 operator; 11.2.2.1 Approximating the data using a sixth-order polynomial; 11.2.2.2 Choice of; 11.2.3 Accuracy of the finite difference biharmonic operator; 11.2.3.1 Proof of Step I of Theorem 11.18. | |
| 500 | |a 11.2.4 Fourth-order improvement of the nine-point biharmonic operator. | ||
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Navier-Stokes equations. | |
| 650 | 6 | |a Équations de Navier-Stokes. | |
| 650 | 7 | |a Navier-Stokes equations |2 fast | |
| 700 | 1 | |a Croisille, Jean-Pierre. | |
| 700 | 1 | |a Fishelov, Dalia. | |
| 758 | |i has work: |a Navier-Stokes equations in planar domains (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFHDHqkB74crBDKhTFwmbd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Ben-Artzi, Matania. |t Navier-Stokes Equations in Planar Domains. |d Singapore : World Scientific Publishing Company, ©2013 |z 9781848162754 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1223612 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1223612 | ||
| 994 | |a 92 |b IZTAP | ||