04133nam0 22006013i 450 VAN0026825120260630112149.360N978146840082379961703620231130d1979 |0itac50 baengUS|||| |||||i e bcrˆA ‰mathematical introduction to fluid mechanicsAlexandre J. Chorin, Jerrold E. MarsdenNew YorkSpringer1979vii, 205 p.ill.24 cmThese notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima­ tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back­ ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. 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; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.001VAN000245062001 Universitext210 Berlin [etc]Springer1930-VAN00239744ˆA ‰mathematical introduction to fluid mechanics142910135L65Hyperbolic conservation laws [MSC 2020]VANC023082MF35Q30Navier-Stokes equations [MSC 2020]VANC019723MF35Q31Euler equations [MSC 2020]VANC033773MF76-XXFluid mechanics [MSC 2020]VANC019858MF76BxxIncompressible inviscid fluids [MSC 2020]VANC020659MF76DxxIncompressible viscous fluids [MSC 2020]VANC020660MF76LxxShock waves and blast waves in fluid mechanics [MSC 2020]VANC023551MFFluid MechanicsKW:KFluid- and aerodynamicsKW:KMechanicsKW:KNavier-Stokes equationsKW:KPotentialKW:KWavesKW:KUSNew YorkVANL000011ChorinAlexandre J.VANV014700348046MarsdenJerrold E.VANV0147127790Springer <editore>VANV108073650Chorin, Alexandre JoelChorin, Alexandre J.VANV014711Chorin, A. J.Chorin, Alexandre J.VANV241223Chorin, A.J.Chorin, Alexandre J.VANV241224Marsden, Jerrold EldonMarsden, Jerrold E.VANV241238Marsden, J. E.Marsden, Jerrold E.VANV241239Marsden, J.E.Marsden, Jerrold E.VANV241240ITSOL20260911RICAhttps://doi.org/10.1007/978-1-4684-0082-3E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00268251BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 7426 08eMF7426 20231204 Mathematical introduction to fluid mechanics1429101UNICAMPANIA