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1 Qin, Yuming Prandtl Equations and Related Boundary Layer Equations I13249 2024 eBook  
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TitlePrandtl Equations and Related Boundary Layer Equations
Author(s)Qin, Yuming;Dong, Xiaolei;Wang, Xiuqing
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionX, 373 p : online resource
Abstract NoteThis 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
ISBN,Price9789819745654
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. FLUIDS 5. INTEGRAL EQUATIONS 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Soft condensed matter
Item TypeeBook
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