| ISBN13: | 9789819745647 |
| ISBN10: | 98197456411 |
| Binding: | Hardback |
| No. of pages: | 373 pages |
| Size: | 235x155 mm |
| Language: | English |
| Illustrations: | VIII, 265 p. |
| 700 |
Prandtl Equations and Related Boundary Layer Equations
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This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.
This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure.
Mathematicians and physicists who are interested in fluid dynamics will find this book helpful.
This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.
This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure.
Mathematicians and physicists who are interested in fluid dynamics will find this book helpful.
Preface.- Chapter 1. Survey on the Prandtls Equations and Related Boundary Layer Equations.- Chapter 2. Global Well-posedness of Solutions to the 2D Prandtl-Hartmann Equations in Analytic Framework.- Chapter 3. Local Existence of Solutions to the 2D Prandtl Equations in A Weighted Sobolev Space.- Chapter 4. Local Well-posedness of Solutions to the 2D Mixed Prandtl Equations in A Sobolev Space Without Monotonicity or Lower Bound.- Chapter 5. Local Well-posedness of Solutions to 2D Magnetic Prandtl Model in the Prandtl-Hartmann regime.- Chapter 6. Local Existence of Solutions to 3D Prandtl Equations with a Special Structure.- Bibliography.