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Feedback boundary stabilization of 2D fluid-structure interaction systems

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2315 - 2373, 2017

Mehdi Badra - (email), Takéo Takahashi - (email)

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Topological conjugacy of linear systems on Lie groups

Discrete and Continuous Dynamical Systems  Volume 37, Issue 6, Pages : 3411 - 3421, 2017

Adriano Da Silva - (email), Alexandre J. Santana - (email), Simão N. Stelmastchuk - (email)

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3

The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework

Evolution Equations and Control Theory  Volume 6, Issue 1, Pages : 135 - 154, 2016

Jing Zhang - (email)

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The Tulczyjew triple in mechanics on a Lie group

Journal of Geometric Mechanics  Volume 8, Issue 4, Pages : 413 - 435, 2016

Katarzyna Grabowska - (email), Marcin Zając - (email)

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Numerical simulations of a 3D fluid-structure interaction model for blood flow in an atherosclerotic artery

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 179 - 193, 2016

Oualid Kafi - (email), Nader El Khatib - (email), Jorge Tiago - (email), Adélia Sequeira - (email)

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Remark on an elastic plate interacting with a gas in a semi-infinite tube: Periodic solutions

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 561 - 566, 2016

Igor Chueshov - (email)

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7

Neighboring extremal optimal control for mechanical systems on Riemannian manifolds

Journal of Geometric Mechanics  Volume 8, Issue 3, Pages : 257 - 272, 2016

Anthony M. Bloch - (email), Rohit Gupta - (email), Ilya V. Kolmanovsky - (email)

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Shape analysis on Lie groups with applications in computer animation

Journal of Geometric Mechanics  Volume 8, Issue 3, Pages : 273 - 304, 2016

Elena Celledoni - (email), Markus Eslitzbichler - (email), Alexander Schmeding - (email)

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An optimal control approach to ciliary locomotion

Mathematical Control and Related Fields  Volume 6, Issue 2, Pages : 293 - 334, 2016

Jorge San Martín - (email), Takéo Takahashi - (email), Marius Tucsnak - (email)

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10

Nonconforming mixed finite element approximation of a fluid-structure interaction spectral problem

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 269 - 287, 2015

Salim Meddahi - (email), David Mora - (email)

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Pullback attractors for generalized evolutionary systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 3, Pages : 749 - 779, 2015

Alexey Cheskidov - (email), Landon Kavlie - (email)

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Higher-order variational problems on lie groups and optimal control applications

Journal of Geometric Mechanics  Volume 6, Issue 4, Pages : 451 - 478, 2014

Leonardo Colombo - (email), David Martín de Diego - (email)

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13

A mixed variational formulation for the wellposedness and numerical approximation of a PDE model arising in a 3-D fluid-structure interaction

Evolution Equations and Control Theory  Volume 3, Issue 4, Pages : 557 - 578, 2014

George Avalos - (email), Thomas J. Clark - (email)

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A note on the Trace Theorem for domains which are locally subgraph of a Hölder continuous function

Networks and Heterogeneous Media  Volume 9, Issue 1, Pages : 191 - 196, 2014

Boris Muha - (email)

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Effect of intraocular pressure on the hemodynamics of the central retinal artery: A mathematical model

Mathematical Biosciences and Engineering  Volume 11, Issue 3, Pages : 523 - 546, 2014

Giovanna Guidoboni - (email), Alon Harris - (email), Lucia Carichino - (email), Yoel Arieli - (email), Brent A. Siesky - (email)

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16

Approximation of a simple Navier-Stokes model by monotonic rearrangement

Discrete and Continuous Dynamical Systems  Volume 34, Issue 4, Pages : 1285 - 1300, 2013

Yann Brenier - (email)

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17

Longitudinal displacement in viscoelastic arteries: A novel fluid-structure interaction computational model, and experimental validation

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 295 - 318, 2013

Martina Bukač - (email), Sunčica Čanić - (email)

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18

Geometric aspects of transformations of forces acting upon a swimmer in a 3-D incompressible fluid

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1513 - 1544, 2012

Alexander Khapalov - (email), Giang Trinh - (email)

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19

Stability and interaction of vortices in two-dimensional viscous flows

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 6, Pages : 1091 - 1131, 2012

Thierry Gallay - (email)

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20

A formal series approach to averaging: Exponentially small error estimates

Discrete and Continuous Dynamical Systems  Volume 32, Issue 9, Pages : 3009 - 3027, 2012

Philippe Chartier - (email), Ander Murua - (email), Jesús María Sanz-Serna - (email)

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21

A quasi-lumped model for the peripheral distortion of the arterial pulse

Mathematical Biosciences and Engineering  Volume 9, Issue 1, Pages : 175 - 198, 2011

Panagiotes A. Voltairas - (email), Antonios Charalambopoulos - (email), Dimitrios I. Fotiadis - (email), Lambros K. Michalis - (email)

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22

Solutions to a fluid-structure interaction free boundary problem

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1355 - 1389, 2011

Igor Kukavica - (email), Amjad Tuffaha - (email)

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Numerical characterization of hemodynamics conditions near aortic valve after implantation of left ventricular assist device

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 785 - 806, 2011

Annalisa Quaini - (email), Sunčica Čanić - (email), David Paniagua - (email)

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24

Shape minimization of the dissipated energy in dyadic trees

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 767 - 799, 2011

Xavier Dubois de La Sablonière - (email), Benjamin Mauroy - (email), Yannick Privat - (email)

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25

A theoretical framework for backward error analysis on manifolds

Journal of Geometric Mechanics  Volume 3, Issue 1, Pages : 81 - 111, 2011

Anders C. Hansen - (email)

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On the stochastic immersed boundary method with an implicit interface formulation

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 2, Pages : 373 - 389, 2010

Qiang Du - (email), Manlin Li - (email)

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27

Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel

Networks and Heterogeneous Media  Volume 5, Issue 4, Pages : 783 - 812, 2010

Grigory Panasenko - (email), Ruxandra Stavre - (email)

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28

Existence and uniqueness of a solution to a three-dimensional axially symmetric Biot problem arising in modeling blood flow

Communications on Pure and Applied Analysis  Volume 9, Issue 4, Pages : 839 - 865, 2010

Taebeom Kim - (email), Sunčica Čanić - (email), Giovanna Guidoboni - (email)

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29

Nonlinear resonances of water waves

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 3, Pages : 607 - 621, 2009

Elena Kartashova - (email)

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30

Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 417 - 447, 2009

George Avalos - (email), Roberto Triggiani - (email)

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31

A modelling of springing, whipping and slamming for ships

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 209 - 235, 2008

Philippe Destuynder - (email), Caroline Fabre - (email)

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32

Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface

Discrete and Continuous Dynamical Systems  Volume 22, Issue 4, Pages : 817 - 833, 2008

George Avalos - (email), Roberto Triggiani - (email)

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33

Asymptotic analysis of a non-periodic flow in a thin channel with visco-elastic wall

Networks and Heterogeneous Media  Volume 3, Issue 3, Pages : 651 - 673, 2008

Grigory Panasenko - (email), Ruxandra Stavre - (email)

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34

Homogenization and long time asymptotic of a fluid-structure interaction problem

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 199 - 220, 2007

Grégoire Allaire - (email), Alessandro Ferriero - (email)

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35

Fluid-structure interaction in a pre-stressed tube with thick elastic walls I: the stationary Stokes problem

Networks and Heterogeneous Media  Volume 2, Issue 3, Pages : 397 - 423, 2007

Andro Mikelić - (email), Giovanna Guidoboni - (email), Sunčica Čanić - (email)

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36

Derivation and analysis of a fluid-dynamical model in thin and long elastic vessels

Networks and Heterogeneous Media  Volume 2, Issue 1, Pages : 99 - 125, 2006

Debora Amadori - (email), Stefania Ferrari - (email), Luca Formaggia - (email)

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37

Unique ergodicity, stable ergodicity, and the Mautner phenomenon for diffeomorphisms

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 845 - 855, 2006

Charles Pugh - (email), Michael Shub - (email), Alexander Starkov - (email)

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38

Robust control problems in fluid flows

Discrete and Continuous Dynamical Systems  Volume 12, Issue 3, Pages : 437 - 463, 2004

T. Tachim Medjo - (email), Louis Tcheugoue Tebou - (email)

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39

On the Newton method in robust control of fluid flow

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1201 - 1222, 2003

T. Tachim Medjo - (email)

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40

Analysis of a linear fluid-structure interaction problem

Discrete and Continuous Dynamical Systems  Volume 9, Issue 3, Pages : 633 - 650, 2003

Qiang Du - (email), M. D. Gunzburger - (email), L. S. Hou - (email), J. Lee - (email)

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