Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- PART I WEAK AND STRONG SOLUTIONS
- PART II LOCAL AND PARTIAL REGULARITY
- Overview of Part II
- 12 Vorticity
- 13 The Serrin condition for local regularity
- 14 The local energy inequality
- 15 Partial regularity I: dimB(S) ≤ 5/3
- 16 Partial regularity II: dimH(S) ≤ 1
- 17 Lagrangian trajectories
- Appendix A Functional analysis: miscellaneous results
- Appendix B Calderón–Zygmund Theory
- Appendix C Elliptic equations
- Appendix D Estimates for the heat equation
- Appendix E A measurable-selection theorem
- Solutions to exercises
- References
- Index
15 - Partial regularity I: dimB(S) ≤ 5/3
from PART II - LOCAL AND PARTIAL REGULARITY
Published online by Cambridge University Press: 05 September 2016
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- PART I WEAK AND STRONG SOLUTIONS
- PART II LOCAL AND PARTIAL REGULARITY
- Overview of Part II
- 12 Vorticity
- 13 The Serrin condition for local regularity
- 14 The local energy inequality
- 15 Partial regularity I: dimB(S) ≤ 5/3
- 16 Partial regularity II: dimH(S) ≤ 1
- 17 Lagrangian trajectories
- Appendix A Functional analysis: miscellaneous results
- Appendix B Calderón–Zygmund Theory
- Appendix C Elliptic equations
- Appendix D Estimates for the heat equation
- Appendix E A measurable-selection theorem
- Solutions to exercises
- References
- Index
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- The Three-Dimensional Navier–Stokes EquationsClassical Theory, pp. 279 - 314Publisher: Cambridge University PressPrint publication year: 2016