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Existence and uniqueness of a solution to a threedimensional axially symmetric Biot problem arising in modeling blood flow
1.  Department of Mathematics, University of Houston, Houston, Texas 772043476, United States, United States 
[1] 
Oualid Kafi, Nader El Khatib, Jorge Tiago, Adélia Sequeira. Numerical simulations of a 3D fluidstructure interaction model for blood flow in an atherosclerotic artery. Mathematical Biosciences & Engineering, 2017, 14 (1) : 179193. doi: 10.3934/mbe.2017012 
[2] 
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 
[3] 
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 
[4] 
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 
[5] 
Igor Kukavica, Amjad Tuffaha. Solutions to a fluidstructure interaction free boundary problem. Discrete & Continuous Dynamical Systems  A, 2012, 32 (4) : 13551389. doi: 10.3934/dcds.2012.32.1355 
[6] 
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 
[7] 
George Avalos, Thomas J. Clark. A mixed variational formulation for the wellposedness and numerical approximation of a PDE model arising in a 3D fluidstructure interaction. Evolution Equations & Control Theory, 2014, 3 (4) : 557578. doi: 10.3934/eect.2014.3.557 
[8] 
Huashui Zhan. On a hyperbolicparabolic mixed type equation. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 605624. doi: 10.3934/dcdss.2017030 
[9] 
Andro Mikelić, Giovanna Guidoboni, Sunčica Čanić. Fluidstructure interaction in a prestressed tube with thick elastic walls I: the stationary Stokes problem. Networks & Heterogeneous Media, 2007, 2 (3) : 397423. doi: 10.3934/nhm.2007.2.397 
[10] 
Serge Nicaise, Cristina Pignotti. Asymptotic analysis of a simple model of fluidstructure interaction. Networks & Heterogeneous Media, 2008, 3 (4) : 787813. doi: 10.3934/nhm.2008.3.787 
[11] 
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 
[12] 
George Avalos, Roberto Triggiani. Uniform stabilization of a coupled PDE system arising in fluidstructure interaction with boundary dissipation at the interface. Discrete & Continuous Dynamical Systems  A, 2008, 22 (4) : 817833. doi: 10.3934/dcds.2008.22.817 
[13] 
Martina Bukač, Sunčica Čanić. Longitudinal displacement in viscoelastic arteries: A novel fluidstructure interaction computational model, and experimental validation. Mathematical Biosciences & Engineering, 2013, 10 (2) : 295318. doi: 10.3934/mbe.2013.10.295 
[14] 
Mehdi Badra, Takéo Takahashi. Feedback boundary stabilization of 2d fluidstructure interaction systems. Discrete & Continuous Dynamical Systems  A, 2017, 37 (5) : 23152373. doi: 10.3934/dcds.2017102 
[15] 
Henry Jacobs, Joris Vankerschaver. Fluidstructure interaction in the LagrangePoincaré formalism: The NavierStokes and inviscid regimes. Journal of Geometric Mechanics, 2014, 6 (1) : 3966. doi: 10.3934/jgm.2014.6.39 
[16] 
Eugenio Aulisa, Akif Ibragimov, Emine Yasemen KayaCekin. Fluid structure interaction problem with changing thickness beam and slightly compressible fluid. Discrete & Continuous Dynamical Systems  S, 2014, 7 (6) : 11331148. doi: 10.3934/dcdss.2014.7.1133 
[17] 
Emine Kaya, Eugenio Aulisa, Akif Ibragimov, Padmanabhan Seshaiyer. A stability estimate for fluid structure interaction problem with nonlinear beam. Conference Publications, 2009, 2009 (Special) : 424432. doi: 10.3934/proc.2009.2009.424 
[18] 
Emine Kaya, Eugenio Aulisa, Akif Ibragimov, Padmanabhan Seshaiyer. FLUID STRUCTURE INTERACTION PROBLEM WITH CHANGING THICKNESS NONLINEAR BEAM Fluid structure interaction problem with changing thickness nonlinear beam. Conference Publications, 2011, 2011 (Special) : 813823. doi: 10.3934/proc.2011.2011.813 
[19] 
Tong Li, Kun Zhao. Global existence and longtime behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model. Networks & Heterogeneous Media, 2011, 6 (4) : 625646. doi: 10.3934/nhm.2011.6.625 
[20] 
Tong Li, Sunčica Čanić. Critical thresholds in a quasilinear hyperbolic model of blood flow. Networks & Heterogeneous Media, 2009, 4 (3) : 527536. doi: 10.3934/nhm.2009.4.527 
2018 Impact Factor: 0.925
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