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Fluidstructure interaction in a prestressed tube with thick elastic walls I: the stationary Stokes problem
1.  Université de Lyon, Lyon, F69003, Université Lyon 1, Institut Camille Jordan, UFR Mathématiques, Site de Gerland, Bat. A, 50, avenue Tony Garnier, 69367 Lyon Cedex 07, France 
2.  Department of Mathematics, University of Houston, Houston, Texas 772043476, United States 
3.  Department of Mathematics, University of Houston, Houston, TX 772043476, United States 
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Qiang Du, M. D. Gunzburger, L. S. Hou, J. Lee. Analysis of a linear fluidstructure interaction problem. Discrete & Continuous Dynamical Systems  A, 2003, 9 (3) : 633650. doi: 10.3934/dcds.2003.9.633 
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Taebeom Kim, Sunčica Čanić, Giovanna Guidoboni. Existence and uniqueness of a solution to a threedimensional axially symmetric Biot problem arising in modeling blood flow. Communications on Pure & Applied Analysis, 2010, 9 (4) : 839865. doi: 10.3934/cpaa.2010.9.839 
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Grégoire Allaire, Alessandro Ferriero. Homogenization and long time asymptotic of a fluidstructure interaction problem. Discrete & Continuous Dynamical Systems  B, 2008, 9 (2) : 199220. doi: 10.3934/dcdsb.2008.9.199 
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George Avalos, Roberto Triggiani. Fluidstructure interaction with and without internal dissipation of the structure: A contrast study in stability. Evolution Equations & Control Theory, 2013, 2 (4) : 563598. doi: 10.3934/eect.2013.2.563 
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Salim Meddahi, David Mora. Nonconforming mixed finite element approximation of a fluidstructure interaction spectral problem. Discrete & Continuous Dynamical Systems  S, 2016, 9 (1) : 269287. doi: 10.3934/dcdss.2016.9.269 
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Hao Chen, Kaitai Li, Yuchuan Chu, Zhiqiang Chen, Yiren Yang. A dimension splitting and characteristic projection method for threedimensional incompressible flow. Discrete & Continuous Dynamical Systems  B, 2019, 24 (1) : 127147. doi: 10.3934/dcdsb.2018111 
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George Avalos, Roberto Triggiani. Semigroup wellposedness in the energy space of a parabolichyperbolic coupled StokesLamé PDE system of fluidstructure interaction. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 417447. doi: 10.3934/dcdss.2009.2.417 
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I. D. Chueshov. Interaction of an elastic plate with a linearized inviscid incompressible fluid. Communications on Pure & Applied Analysis, 2014, 13 (5) : 17591778. doi: 10.3934/cpaa.2014.13.1759 
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