This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.
Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws―PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs―mixed type, free boundaries, and corner singularities―that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.
"synopsis" may belong to another edition of this title.
Gui-Qiang G. Chen is the Statutory Professor in the Analysis of Partial Differential Equations at the Mathematical Institute of the University of Oxford, where he is also professorial fellow at Keble College. Mikhail Feldman is professor of mathematics at the University of Wisconsin–Madison.
"About this title" may belong to another edition of this title.
Shipping:
US$ 3.99
Within U.S.A.
Seller: Academybookshop, Long Island City, NY, U.S.A.
Paperback. Condition: Fair. This book has some DAMAGE, which is usually a tear, a sc dents, bent or stainon the edge, pages are clean, no missing pages. Seller Inventory # C-gj24-07309
Quantity: 1 available
Seller: My Dead Aunt's Books, Hyattsville, MD, U.S.A.
paperback. Condition: As New. Unmarked trade paperback. Seller Inventory # 119359
Quantity: 1 available
Seller: Labyrinth Books, Princeton, NJ, U.S.A.
Condition: New. Seller Inventory # 227683
Quantity: 1 available
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. Series: Annals of Mathematics Studies. Num Pages: 776 pages, 35 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. . . 2018. Reprint. Paperback. . . . . Seller Inventory # V9780691160559
Quantity: 15 available
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Condition: New. Seller Inventory # ABLIING23Feb2416190102282
Quantity: 1 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 28186422-n
Quantity: Over 20 available
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Condition: New. Series: Annals of Mathematics Studies. Num Pages: 776 pages, 35 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. . . 2018. Reprint. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780691160559
Quantity: 15 available
Seller: Grand Eagle Retail, Fairfield, OH, U.S.A.
Paperback. Condition: new. Paperback. This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws--PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions.This involves dealing with several core difficulties in the analysis of nonlinear PDEs--mixed type, free boundaries, and corner singularities--that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities. This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental op Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780691160559
Quantity: 1 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # IB-9780691160559
Quantity: 1 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # IB-9780691160559
Quantity: 1 available