Hopf solutions to a fluid-elastic interaction model

被引：22

作者：

Guidorzi, M. ^{[2
]}

Padula, M. ^{[2
]}

Plotnikov, P. I. ^{[1
]}

机构：

[1] MA Lavrentyev Hydrodynam Inst, Novosibirsk 630090, Russia

[2] Univ Studi Ferrara, Dipartimento Matemat, I-44100 Ferrara, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2008年 / 18卷 / 02期

关键词：

Galerkin scheme; global existence; fluid-elastic interaction;

D O I：

10.1142/S0218202508002668

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：215 / 269

页数：55

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