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020 _a9789819745654
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024 7 _a10.1007/978-981-97-4565-4
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aQin, Yuming.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988656
245 1 0 _aPrandtl Equations and Related Boundary Layer Equations
_h[electronic resource] /
_cby Yuming Qin, Xiaolei Dong, Xiuqing Wang.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aX, 373 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- 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.
520 _aThis 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.
650 0 _aMathematical physics.
650 0 _aSoft condensed matter.
_966723
650 0 _aDifferential equations.
650 0 _aIntegral equations.
650 1 4 _aMathematical Physics.
650 2 4 _aFluids.
_967540
650 2 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aDifferential Equations.
650 2 4 _aIntegral Equations.
700 1 _aDong, Xiaolei.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988657
700 1 _aWang, Xiuqing.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_988658
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819745647
776 0 8 _iPrinted edition:
_z9789819745661
776 0 8 _iPrinted edition:
_z9789819745678
856 4 0 _uhttps://doi.org/10.1007/978-981-97-4565-4
912 _aZDB-2-PHA
912 _aZDB-2-SXP
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