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Media type:
E-Article
Title:
HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL
Contributor:
GUIDORZI, M.;
PADULA, M.;
PLOTNIKOV, P. I.
Published:
World Scientific Pub Co Pte Ltd, 2008
Published in:
Mathematical Models and Methods in Applied Sciences, 18 (2008) 2, Seite 215-269
Language:
English
DOI:
10.1142/s0218202508002668
ISSN:
0218-2025;
1793-6314
Origination:
Footnote:
Description:
<jats:p> In this paper, we give a global existence theorem of weak solutions to model equations governing interaction fluid structure in a two-dimensional layer, cf. Refs. 8 and 14. To our knowledge this is the first existence theorem of global in time solutions for such model. The interest of our result is double because, first, we change the original initial value problem by deleting one initial condition, second, we construct a solution through the classical Galerkin method for which several computing codes have been constructed. </jats:p>