Global-in-time solutions for the isothermal Matovich-Pearson equations
نویسندگان
چکیده
In this paper we study the Matovich-Pearson equations describing the process of glass fiber drawing. These equations may be viewed as a 1D-reduction of the incompressible Navier-Stokes equations including free boundary, valid for the drawing of a long and thin glass fiber. We concentrate on the isothermal case without surface tension. Then the ∗The work of E.F. was supported by Grant 201/09/0917 of GA ČR as a part of the general research programme of the Academy of Sciences of the Czech Republic, Institutional Research Plan AV0Z10190503. †This paper was partly written during the visit of Ph. L. and A.M. at Nečas center for mathematical modelling in March/April 2008 and they wish to express their thanks for the hospitality during the stay. Research of A.M. on the mathematical modeling of glass fiber drawing was supported in part by the EZUS LYON 1 INGENIERIE during the period 2004 – 2007. ‡E-mail: [email protected]
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