03027nam 22005415 450 991078921530332120210507134018.01-4684-0364-810.1007/978-1-4684-0364-0(CKB)3400000000097388(SSID)ssj0001297527(PQKBManifestationID)11723780(PQKBTitleCode)TC0001297527(PQKBWorkID)11228006(PQKB)10256806(DE-He213)978-1-4684-0364-0(MiAaPQ)EBC3083385(PPN)237999323(EXLCZ)99340000000009738820121227d1990 u| 0engurnn#008mamaatxtccrA Mathematical Introduction to Fluid Mechanics[electronic resource] /by Alexandre J. Chorin, Jerrold E. Marsden2nd ed. 1990.New York, NY :Springer New York :Imprint: Springer,1990.1 online resource (IX, 168p. 86 illus.)Texts in Applied Mathematics,0939-2475 ;4Bibliographic Level Mode of Issuance: Monograph0-387-97300-1 1-4684-0366-4 Includes bibliographical references and index.1 The Equations of Motion -- 1.1 Euler’s Equations -- 1.2 Rotation and Vorticity -- 1.3 Navier-Stokes Equations -- 2 Potential Flow and Slightly Viscous Flow -- 2.1 Potential Flow -- 2.2 Boundary Layers -- 2.3 Vortex Sheets -- Addendum: Remarks on Dynamics and Bifurcation -- 3 Gas Flow in One Dimension -- 3.1 Characteristics -- 3.2 Shocks -- 3.3 The Riemann Problem -- 3.4 Combustion Waves -- Vector Identities.Mathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered.Texts in Applied Mathematics,0939-2475 ;4MathematicsMathematics, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/M00009Mathematics.Mathematics, general.510Chorin Alexandre Joelauthttp://id.loc.gov/vocabulary/relators/aut7789Marsden Jerrold Eauthttp://id.loc.gov/vocabulary/relators/autBOOK9910789215303321Mathematical introduction to fluid mechanics1488658UNINA