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A semilinear $A$-spectrum
Existence and uniqueness of a structural acoustic model involving a nonlinear shell
1. | Department of Mathematics, University of Virginia, Kerchoff Hall, Charlottesville, VA 22903, United States |
2. | Department of Mathematics, Wayne State University, 656 S Kirby, Detroit, MI 48202, United States |
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Sylvia Anicic. Existence theorem for a first-order Koiter nonlinear shell model. Discrete and Continuous Dynamical Systems - S, 2019, 12 (6) : 1535-1545. doi: 10.3934/dcdss.2019106 |
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H. T. Banks, R.C. Smith. Feedback control of noise in a 2-D nonlinear structural acoustics model. Discrete and Continuous Dynamical Systems, 1995, 1 (1) : 119-149. doi: 10.3934/dcds.1995.1.119 |
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Yuri Gaididei, Anders Rønne Rasmussen, Peter Leth Christiansen, Mads Peter Sørensen. Oscillating nonlinear acoustic shock waves. Evolution Equations and Control Theory, 2016, 5 (3) : 367-381. doi: 10.3934/eect.2016009 |
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Omid Nikan, Seyedeh Mahboubeh Molavi-Arabshai, Hossein Jafari. Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves. Discrete and Continuous Dynamical Systems - S, 2021, 14 (10) : 3685-3701. doi: 10.3934/dcdss.2020466 |
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Lining Ru, Xiaoping Xue. Flocking of Cucker-Smale model with intrinsic dynamics. Discrete and Continuous Dynamical Systems - B, 2019, 24 (12) : 6817-6835. doi: 10.3934/dcdsb.2019168 |
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Tania Biswas, Sheetal Dharmatti. Control problems and invariant subspaces for sabra shell model of turbulence. Evolution Equations and Control Theory, 2018, 7 (3) : 417-445. doi: 10.3934/eect.2018021 |
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Samuel Amstutz, Nicolas Van Goethem. Existence and asymptotic results for an intrinsic model of small-strain incompatible elasticity. Discrete and Continuous Dynamical Systems - B, 2020, 25 (10) : 3769-3805. doi: 10.3934/dcdsb.2020240 |
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Xiaoxu Xu, Bo Zhang, Haiwen Zhang. Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency. Inverse Problems and Imaging, 2020, 14 (3) : 489-510. doi: 10.3934/ipi.2020023 |
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David Rossmanith, Ashok Puri. Recasting a Brinkman-based acoustic model as the damped Burgers equation. Evolution Equations and Control Theory, 2016, 5 (3) : 463-474. doi: 10.3934/eect.2016014 |
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Floriane Lignet, Vincent Calvez, Emmanuel Grenier, Benjamin Ribba. A structural model of the VEGF signalling pathway: Emergence of robustness and redundancy properties. Mathematical Biosciences & Engineering, 2013, 10 (1) : 167-184. doi: 10.3934/mbe.2013.10.167 |
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H. Gajewski, I. V. Skrypnik. To the uniqueness problem for nonlinear parabolic equations. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 315-336. doi: 10.3934/dcds.2004.10.315 |
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Dieter Armbruster, Matthew Wienke. Kinetic models and intrinsic timescales: Simulation comparison for a 2nd order queueing model. Kinetic and Related Models, 2019, 12 (1) : 177-193. doi: 10.3934/krm.2019008 |
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Peng-Fei Yao. On shallow shell equations. Discrete and Continuous Dynamical Systems - S, 2009, 2 (3) : 697-722. doi: 10.3934/dcdss.2009.2.697 |
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Maria Francesca Betta, Olivier Guibé, Anna Mercaldo. Uniqueness for Neumann problems for nonlinear elliptic equations. Communications on Pure and Applied Analysis, 2019, 18 (3) : 1023-1048. doi: 10.3934/cpaa.2019050 |
[17] |
Miao Chen, Youyan Wan, Chang-Lin Xiang. Local uniqueness problem for a nonlinear elliptic equation. Communications on Pure and Applied Analysis, 2020, 19 (2) : 1037-1055. doi: 10.3934/cpaa.2020048 |
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Dominique Blanchard, Nicolas Bruyère, Olivier Guibé. Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation. Communications on Pure and Applied Analysis, 2013, 12 (5) : 2213-2227. doi: 10.3934/cpaa.2013.12.2213 |
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Xin Du, M. Monir Uddin, A. Mostakim Fony, Md. Tanzim Hossain, Md. Nazmul Islam Shuzan. Iterative Rational Krylov Algorithms for model reduction of a class of constrained structural dynamic system with Engineering applications. Numerical Algebra, Control and Optimization, 2021 doi: 10.3934/naco.2021016 |
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Andrew R. Becklin, Mohammad A. Rammaha. Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms. Evolution Equations and Control Theory, 2021, 10 (4) : 797-836. doi: 10.3934/eect.2020093 |
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