LEADER 02995nam 22005895 450 001 9910962860003321 005 20250818100332.0 010 $a1-4684-0364-8 024 7 $a10.1007/978-1-4684-0364-0 035 $a(CKB)3400000000097388 035 $a(SSID)ssj0001297527 035 $a(PQKBManifestationID)11723780 035 $a(PQKBTitleCode)TC0001297527 035 $a(PQKBWorkID)11228006 035 $a(PQKB)10256806 035 $a(DE-He213)978-1-4684-0364-0 035 $a(MiAaPQ)EBC3083385 035 $a(PPN)237999323 035 $a(EXLCZ)993400000000097388 100 $a20121227d1990 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 12$aA Mathematical Introduction to Fluid Mechanics /$fby Alexandre J. Chorin, Jerrold E. Marsden 205 $a2nd ed. 1990. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1990. 215 $a1 online resource (IX, 168p. 86 illus.) 225 1 $aTexts in Applied Mathematics,$x2196-9949 ;$v4 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-387-97300-1 311 08$a1-4684-0366-4 320 $aIncludes bibliographical references and index. 327 $a1 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. 330 $aMathematical Introduction to Fluid Mechanics presents some selected highlights of currently interesting topics in fluid mechanics in a compact form, as well as providing a concise and appealing exposition of the basic theory of fluid mechanics. The first chapter contains an elementary derivation of the equations, and the concept of vorticity is introduced. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented. Chapter 3 contains an analysis of one-dimensional gas flow from a mildly modern point of view. Weak solution, Riemann problems, Glimm's scheme, and combustion waves are covered. 410 0$aTexts in Applied Mathematics,$x2196-9949 ;$v4 606 $aMathematics 606 $aMathematics 615 0$aMathematics. 615 14$aMathematics. 676 $a510 676 $a532 700 $aChorin$b Alexandre Joel$4aut$4http://id.loc.gov/vocabulary/relators/aut$07789 702 $aMarsden$b Jerrold E$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962860003321 996 $aMathematical introduction to fluid mechanics$91488658 997 $aUNINA