Weak solutions for a fluid-elastic structure interaction model.

Benoit Desjardins; María J. Esteban; Céline Grandmont; Patrick Le Tallec

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 2, page 523-538
  • ISSN: 1139-1138

Abstract

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The purpose of this paper is to study a model coupling an incompressible viscous fiuid with an elastic structure in a bounded container. We prove the existence of weak solutions à la Leray as long as no collisions occur.

How to cite

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Desjardins, Benoit, et al. "Weak solutions for a fluid-elastic structure interaction model.." Revista Matemática Complutense 14.2 (2001): 523-538. <http://eudml.org/doc/44382>.

@article{Desjardins2001,
abstract = {The purpose of this paper is to study a model coupling an incompressible viscous fiuid with an elastic structure in a bounded container. We prove the existence of weak solutions à la Leray as long as no collisions occur.},
author = {Desjardins, Benoit, Esteban, María J., Grandmont, Céline, Le Tallec, Patrick},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones de Navier-Stokes; Fluidos incompresibles; Estructuras elásticas; Teorema de existencia; Solución débil; fluid structure interaction; incompressible viscous Navier-Stokes fluid; linearly elastic structure; Leray-Schauder technique; energy estimates; compactness argument; existence; weak solutions; stability; representation of global Eulerian velocity},
language = {eng},
number = {2},
pages = {523-538},
title = {Weak solutions for a fluid-elastic structure interaction model.},
url = {http://eudml.org/doc/44382},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Desjardins, Benoit
AU - Esteban, María J.
AU - Grandmont, Céline
AU - Le Tallec, Patrick
TI - Weak solutions for a fluid-elastic structure interaction model.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 2
SP - 523
EP - 538
AB - The purpose of this paper is to study a model coupling an incompressible viscous fiuid with an elastic structure in a bounded container. We prove the existence of weak solutions à la Leray as long as no collisions occur.
LA - eng
KW - Ecuaciones de Navier-Stokes; Fluidos incompresibles; Estructuras elásticas; Teorema de existencia; Solución débil; fluid structure interaction; incompressible viscous Navier-Stokes fluid; linearly elastic structure; Leray-Schauder technique; energy estimates; compactness argument; existence; weak solutions; stability; representation of global Eulerian velocity
UR - http://eudml.org/doc/44382
ER -

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