LEADER 02790nam 2200589 a 450 001 9911006990403321 005 20241120173237.0 010 $a1-68015-790-6 010 $a0-89871-941-0 024 7 $a10.1137/1.9780898719413 035 $a(CKB)1000000000015720 035 $a(CaBNvSL)gtp00545512 035 $a(SIAM)9780898719413 035 $a(SSID)ssj0000527686 035 $a(PQKBManifestationID)12140121 035 $a(PQKBTitleCode)TC0000527686 035 $a(PQKBWorkID)10544614 035 $a(PQKB)10718157 035 $a(CaBNVSL)gtp00545512 035 $a(PPN)185951449 035 $a(EXLCZ)991000000000015720 071 50$aCB73$bSIAM 100 $a20110110d2000 uy 0 101 0 $aeng 135 $aurbn||||m|||a 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical analysis of viscoelastic flows /$fMichael Renardy 210 $aPhiladelphia, Pa. $cSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)$d2000 215 $a1 electronic text (ix, 104 p.) $cill., digital file 225 1 $aCBMS-NSF regional conference series in applied mathematics ;$v73 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-89871-457-5 320 $aIncludes bibliographical references (p. 95-102) and index. 327 $aPreface -- 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. 330 3 $aThis monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics. 410 0$aCBMS-NSF regional conference series in applied mathematics ;$v73. 606 $aViscous flow 606 $aViscoelasticity 615 0$aViscous flow. 615 0$aViscoelasticity. 676 $a532/.0533 700 $aRenardy$b Michael$042293 712 02$aSociety for Industrial and Applied Mathematics. 801 0$bCaBNVSL 801 1$bCaBNVSL 801 2$bCaBNVSL 906 $aBOOK 912 $a9911006990403321 996 $aMathematical analysis of viscoelastic flows$9925462 997 $aUNINA