Global-in-time solutions for the isothermal Matovich-Pearson equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00374191" target="_blank" >RIV/67985840:_____/11:00374191 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/11:00391073

Result on the web

<a href="http://dx.doi.org/10.1088/0951-7715/24/1/014" target="_blank" >http://dx.doi.org/10.1088/0951-7715/24/1/014</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0951-7715/24/1/014" target="_blank" >10.1088/0951-7715/24/1/014</a>

Result language

angličtina

Original language name

Global-in-time solutions for the isothermal Matovich-Pearson equations

Original language description

In this paper we study the Matovich-Pearson equations describing the process of glass fibre 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 fibre. We concentrate on the isothermal case without surface tension. Then the Matovich-Pearson equations represent a nonlinearly coupled system of an elliptic equation for the axial velocity and a hyperbolic transport equation for the fluidcross-sectional area. We first prove existence of a local solution, and, after constructing appropriate barrier functions, we deduce that the fluid radius is always strictly positive and that the local solution remains in the same regularity class. Thisestimate leads to the global existence and uniqueness result for this important system of equations.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Nonlinearity

ISSN

0951-7715

e-ISSN

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Volume of the periodical

24

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

16

Pages from-to

277-292

UT code for WoS article

000285343600015

EID of the result in the Scopus database

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