Lectures on Navier-Stokes equations (Record no. 567188)
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fixed length control field | 01913 a2200253 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20250210172537.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 250205b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781470430962 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | IIT Kanpur |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.3530153205 |
Item number | T782l |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Tsai, Tai-Peng |
245 ## - TITLE STATEMENT | |
Title | Lectures on Navier-Stokes equations |
Statement of responsibility, etc | Tai-Peng Tsai |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Name of publisher | American Mathematical Society |
Year of publication | 2018 |
Place of publication | Providence |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xii, 224p |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
Title | Graduate studies in mathematics |
490 ## - SERIES STATEMENT | |
Volume number/sequential designation | ; no.192 |
520 ## - SUMMARY, ETC. | |
Summary, etc | This book is a graduate text on the incompressible Navier-Stokes system, which is of fundamental importance in mathematical fluid mechanics as well as in engineering applications. The goal is to give a rapid exposition on the existence, uniqueness, and regularity of its solutions, with a focus on the regularity problem. To fit into a one-year course for students who have already mastered the basics of PDE theory, many auxiliary results have been described with references but without proofs, and several topics were omitted. Most chapters end with a selection of problems for the reader. After an introduction and a careful study of weak, strong, and mild solutions, the reader is introduced to partial regularity. The coverage of boundary value problems, self-similar solutions, the uniform $L^3$ class including the celebrated Escauriaza-Seregin-Sverak Theorem, and axisymmetric flows in later chapters are unique features of this book that are less explored in other texts. The book can serve as a textbook for a course, as a self-study source for people who already know some PDE theory and wish to learn more about Navier-Stokes equations, or as a reference for some of the important recent developments in the area. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Fluid dynamics |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Incompressible viscous fluids |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Navier-Stokes equations |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Books |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
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General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 17/02/2025 | 102 | 8485.76 | 515.3530153205 T782l | A186690 | 11314.35 | Books |