caa a22 4500 475796985 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1007/PL00001526 doi (NATIONALLICENCE)springer-10.1007/PL00001526 Non-adiabatic elongational flows of viscoelastic melts [Elektronische Daten] [T. Hagen, M. Renardy] Abstract.: Elongational flows of viscoelastic melts are frequently encountered in manufacturing processes in the textile industry. The most common stretching flow is melt-spinning. In this process, a polymeric melt is withdrawn from a reservoir, axially stretched, and simultaneously cooled down until the melt freezes.¶This paper addresses the fundamental question of existence of solutions for the system of quasilinear hyperbolic equations governing the melt-spinning process of a Giesekus fluid and a Phan-Thien--Tanner fluid. The problem is originally posed as a free boundary problem. It will be shown that the free boundary problem can be reformulated as an equivalent boundary-initial value problem for which we prove the (local in time) existence of classical solutions. Birkhäuser Verlag, Basel,, 2000 Key words. Fiber spinning nationallicence Giesekus model nationallicence Phan-Thien-Tanner model nationallicence quasilinear hyperbolic equation nationallicence existence and uniqueness of solutions nationallicence Hagen T. The University of Wales, Aberystwyth, Ceredigion SY23 3BZ, Wales, UK, e-mail: toh@aber.ac.uk, UK aut Renardy M. Department of Mathematics, Virginia Polytechnic Institute, and State University, Blacksburg, Virginia 24061-0123, USA, e-mail: renardym@math.vt.edu, US aut https://doi.org/10.1007/PL00001526 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001526 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hagen T. The University of Wales, Aberystwyth, Ceredigion SY23 3BZ, Wales, UK, e-mail: toh@aber.ac.uk, UK aut NATIONALLICENCE 700 1- Renardy M. Department of Mathematics, Virginia Polytechnic Institute, and State University, Blacksburg, Virginia 24061-0123, USA, e-mail: renardym@math.vt.edu, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer