02790nam 2200589 a 450 991100699040332120241120173237.01-68015-790-60-89871-941-010.1137/1.9780898719413(CKB)1000000000015720(CaBNvSL)gtp00545512(SIAM)9780898719413(SSID)ssj0000527686(PQKBManifestationID)12140121(PQKBTitleCode)TC0000527686(PQKBWorkID)10544614(PQKB)10718157(CaBNVSL)gtp00545512(PPN)185951449(EXLCZ)991000000000015720CB73SIAM20110110d2000 uy 0engurbn||||m|||atxtccrMathematical analysis of viscoelastic flows /Michael RenardyPhiladelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)20001 electronic text (ix, 104 p.) ill., digital fileCBMS-NSF regional conference series in applied mathematics ;73Bibliographic Level Mode of Issuance: Monograph0-89871-457-5 Includes bibliographical references (p. 95-102) and index.Preface -- 1. Phenomena in non-Newtonian flows -- 2. Mathematical formulation -- 3. Behavior in simple flows -- 4. Existence theory -- 5. Numerical methods -- 6. High Weissenberg number asymptotics -- 7. Reentrant corner singularities -- 8. Instabilities -- 9. Change of type -- 10. Jet breakup -- Bibliography -- Index.This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.CBMS-NSF regional conference series in applied mathematics ;73.Viscous flowViscoelasticityViscous flow.Viscoelasticity.532/.0533Renardy Michael42293Society for Industrial and Applied Mathematics.CaBNVSLCaBNVSLCaBNVSLBOOK9911006990403321Mathematical analysis of viscoelastic flows925462UNINA