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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.
Produkteigenschaften
- Artikelnummer: 9789819745647
- Medium: Buch
- ISBN: 978-981-97-4564-7
- Verlag: Springer Nature Singapore
- Erscheinungstermin: 03.01.2025
- Sprache(n): Englisch
- Auflage: 2024. Auflage 2025
- Produktform: Gebunden
- Seiten: 373
- Format (B x H): 155 x 235 mm
- Ausgabetyp: Kein, Unbekannt
Themen
- Naturwissenschaften
- Physik
- Physik Allgemein
- Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften
- Physik
- Physik Allgemein
- Theoretische Physik, Mathematische Physik, Computerphysik
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- Technische Mechanik | Werkstoffkunde
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