Prandtl Equations and Related Boundary Layer Equations

Inbunden, Engelska, 2024

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Beskrivning

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 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.

Produktinformation

Utgivningsdatum:2024-12-07
Mått:155 x 235 x 27 mm
Vikt:738 g
Format:Inbunden
Språk:Engelska
Antal sidor:373
Förlag:Springer Verlag, Singapore
ISBN:9789819745647

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Mer om författaren

Yuming Qin, born in 1963, is a professor in the School of Mathematics and Statistics and the Institute for Nonlinear Sciences of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 30 grants and is currently carrying out four grants from the National Natural Science Foundation of China, Ministry of Science and Technology of China and from the Shanghai Municipal Commission of Science and Technology. Prof. Qin is presently on the editorial boards of 4 international journals and has published over 120 mathematical articles, among which more than 100 articles are indexed in SCI. Prof. Qin has also published 10 monographs since 2008.Xiaolei Dong, born in 1991, is a lecturer in the School of Mathematics and Statistics of Zhoukou Normal University. His research interests are well-posedness of the boundary layer equations. He is currently carrying out one grant from the Natural Science Foundation of Henan Province.Xiuqing Wang, born in 1990, is a lecturer in the School of Faculty of Science of Kunming University of Science and Technology. Her research interests are well-posedness of the boundary layer equations and liquid crystal equations. She is currently carrying out one grant from the Natural Science Foundation of Yunnan Province.

Innehållsförteckning

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.