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Exact controllability of a beam in an incompressible inviscid fluid
1.  Department of Mathematics, Iowa State University, Ames, IA 50011, United States 
2.  Department of Mathemtics, University of Illinois at Chicago, Chicago, IL 60607, United States 
[1] 
Ammar Khemmoudj, Imane Djaidja. General decay for a viscoelastic rotating EulerBernoulli beam. Communications on Pure and Applied Analysis, 2020, 19 (7) : 35313557. doi: 10.3934/cpaa.2020154 
[2] 
Maja Miletić, Dominik Stürzer, Anton Arnold. An EulerBernoulli beam with nonlinear damping and a nonlinear spring at the tip. Discrete and Continuous Dynamical Systems  B, 2015, 20 (9) : 30293055. doi: 10.3934/dcdsb.2015.20.3029 
[3] 
Mohammad Akil, Ibtissam Issa, Ali Wehbe. Energy decay of some boundary coupled systems involving wave\ EulerBernoulli beam with one locally singular fractional KelvinVoigt damping. Mathematical Control and Related Fields, 2021 doi: 10.3934/mcrf.2021059 
[4] 
Denis Mercier. Spectrum analysis of a serially connected EulerBernoulli beams problem. Networks and Heterogeneous Media, 2009, 4 (4) : 709730. doi: 10.3934/nhm.2009.4.709 
[5] 
Jong Yeoul Park, Sun Hye Park. On uniform decay for the coupled EulerBernoulli viscoelastic system with boundary damping. Discrete and Continuous Dynamical Systems, 2005, 12 (3) : 425436. doi: 10.3934/dcds.2005.12.425 
[6] 
Fathi Hassine. Asymptotic behavior of the transmission EulerBernoulli plate and wave equation with a localized KelvinVoigt damping. Discrete and Continuous Dynamical Systems  B, 2016, 21 (6) : 17571774. doi: 10.3934/dcdsb.2016021 
[7] 
Kaïs Ammari, Denis Mercier, Virginie Régnier, Julie Valein. Spectral analysis and stabilization of a chain of serially connected EulerBernoulli beams and strings. Communications on Pure and Applied Analysis, 2012, 11 (2) : 785807. doi: 10.3934/cpaa.2012.11.785 
[8] 
Louis Tebou. Wellposedness and stabilization of an EulerBernoulli equation with a localized nonlinear dissipation involving the $p$Laplacian. Discrete and Continuous Dynamical Systems, 2012, 32 (6) : 23152337. doi: 10.3934/dcds.2012.32.2315 
[9] 
Louis Tebou. Energy decay estimates for some weakly coupled EulerBernoulli and wave equations with indirect damping mechanisms. Mathematical Control and Related Fields, 2012, 2 (1) : 4560. doi: 10.3934/mcrf.2012.2.45 
[10] 
Gen Qi Xu, Siu Pang Yung. Stability and Riesz basis property of a starshaped network of EulerBernoulli beams with joint damping. Networks and Heterogeneous Media, 2008, 3 (4) : 723747. doi: 10.3934/nhm.2008.3.723 
[11] 
Marcelo Moreira Cavalcanti. Existence and uniform decay for the EulerBernoulli viscoelastic equation with nonlocal boundary dissipation. Discrete and Continuous Dynamical Systems, 2002, 8 (3) : 675695. doi: 10.3934/dcds.2002.8.675 
[12] 
Valentin Keyantuo, Louis Tebou, Mahamadi Warma. A Gevrey class semigroup for a thermoelastic plate model with a fractional Laplacian: Between the EulerBernoulli and Kirchhoff models. Discrete and Continuous Dynamical Systems, 2020, 40 (5) : 28752889. doi: 10.3934/dcds.2020152 
[13] 
Cung The Anh, Vu Manh Toi. Local exact controllability to trajectories of the magnetomicropolar fluid equations. Evolution Equations and Control Theory, 2017, 6 (3) : 357379. doi: 10.3934/eect.2017019 
[14] 
Belhassen Dehman, JeanPierre Raymond. Exact controllability for the Lamé system. Mathematical Control and Related Fields, 2015, 5 (4) : 743760. doi: 10.3934/mcrf.2015.5.743 
[15] 
Mohammed Aassila. Exact boundary controllability of a coupled system. Discrete and Continuous Dynamical Systems, 2000, 6 (3) : 665672. doi: 10.3934/dcds.2000.6.665 
[16] 
Eugenio Aulisa, Akif Ibragimov, Emine Yasemen KayaCekin. Fluid structure interaction problem with changing thickness beam and slightly compressible fluid. Discrete and Continuous Dynamical Systems  S, 2014, 7 (6) : 11331148. doi: 10.3934/dcdss.2014.7.1133 
[17] 
Tatsien Li, Zhiqiang Wang. A note on the exact controllability for nonautonomous hyperbolic systems. Communications on Pure and Applied Analysis, 2007, 6 (1) : 229235. doi: 10.3934/cpaa.2007.6.229 
[18] 
José R. Quintero, Alex M. Montes. On the exact controllability and the stabilization for the BenneyLuke equation. Mathematical Control and Related Fields, 2020, 10 (2) : 275304. doi: 10.3934/mcrf.2019039 
[19] 
Jamel Ben Amara, Hedi Bouzidi. Exact boundary controllability for the Boussinesq equation with variable coefficients. Evolution Equations and Control Theory, 2018, 7 (3) : 403415. doi: 10.3934/eect.2018020 
[20] 
Mo Chen, Lionel Rosier. Exact controllability of the linear ZakharovKuznetsov equation. Discrete and Continuous Dynamical Systems  B, 2020, 25 (10) : 38893916. doi: 10.3934/dcdsb.2020080 
2020 Impact Factor: 1.392
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