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To the uniqueness problem for nonlinear parabolic equations
Longtime behavior of a viscoelastic Timoshenko beam
1. | Dipartimento di Matematica "F. Brioschi", Politecnico di Milano, I-20133 Milano, Italy |
2. | Dipartimento di Matematica "F. Brioschi", Politecnico di Milano, Italy, Italy |
[1] |
Jeongho Ahn, David E. Stewart. A viscoelastic Timoshenko beam with dynamic frictionless impact. Discrete and Continuous Dynamical Systems - B, 2009, 12 (1) : 1-22. doi: 10.3934/dcdsb.2009.12.1 |
[2] |
Xiu-Fang Liu, Gen-Qi Xu. Exponential stabilization of Timoshenko beam with input and output delays. Mathematical Control and Related Fields, 2016, 6 (2) : 271-292. doi: 10.3934/mcrf.2016004 |
[3] |
Marcelo Bongarti, Irena Lasiecka, José H. Rodrigues. Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity. Discrete and Continuous Dynamical Systems - S, 2022, 15 (6) : 1355-1376. doi: 10.3934/dcdss.2022020 |
[4] |
Valeria Danese, Pelin G. Geredeli, Vittorino Pata. Exponential attractors for abstract equations with memory and applications to viscoelasticity. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 2881-2904. doi: 10.3934/dcds.2015.35.2881 |
[5] |
Emily McMillon, Allison Beemer, Christine A. Kelley. Extremal absorbing sets in low-density parity-check codes. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021003 |
[6] |
Bruce Geist and Joyce R. McLaughlin. Eigenvalue formulas for the uniform Timoshenko beam: the free-free problem. Electronic Research Announcements, 1998, 4: 12-17. |
[7] |
Luci H. Fatori, Marcio A. Jorge Silva, Vando Narciso. Quasi-stability property and attractors for a semilinear Timoshenko system. Discrete and Continuous Dynamical Systems, 2016, 36 (11) : 6117-6132. doi: 10.3934/dcds.2016067 |
[8] |
Baowei Feng. On a semilinear Timoshenko-Coleman-Gurtin system: Quasi-stability and attractors. Discrete and Continuous Dynamical Systems, 2017, 37 (9) : 4729-4751. doi: 10.3934/dcds.2017203 |
[9] |
T. F. Ma, M. L. Pelicer. Attractors for weakly damped beam equations with $p$-Laplacian. Conference Publications, 2013, 2013 (special) : 525-534. doi: 10.3934/proc.2013.2013.525 |
[10] |
Michele Coti Zelati. Global and exponential attractors for the singularly perturbed extensible beam. Discrete and Continuous Dynamical Systems, 2009, 25 (3) : 1041-1060. doi: 10.3934/dcds.2009.25.1041 |
[11] |
Juan Casado-Díaz, Manuel Luna-Laynez, Francois Murat. The behavior of a beam fixed on small sets of one of its extremities. Discrete and Continuous Dynamical Systems, 2014, 34 (10) : 4039-4070. doi: 10.3934/dcds.2014.34.4039 |
[12] |
Takayuki Niimura. Attractors and their stability with respect to rotational inertia for nonlocal extensible beam equations. Discrete and Continuous Dynamical Systems, 2020, 40 (5) : 2561-2591. doi: 10.3934/dcds.2020141 |
[13] |
Yue Sun, Zhijian Yang. Strong attractors and their robustness for an extensible beam model with energy damping. Discrete and Continuous Dynamical Systems - B, 2022, 27 (6) : 3101-3129. doi: 10.3934/dcdsb.2021175 |
[14] |
A. M. López. Finiteness and existence of attractors and repellers on sectional hyperbolic sets. Discrete and Continuous Dynamical Systems, 2017, 37 (1) : 337-354. doi: 10.3934/dcds.2017014 |
[15] |
Yanan Li, Zhijian Yang, Fang Da. Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping. Discrete and Continuous Dynamical Systems, 2019, 39 (10) : 5975-6000. doi: 10.3934/dcds.2019261 |
[16] |
Igor Shevchenko, Barbara Kaltenbacher. Absorbing boundary conditions for the Westervelt equation. Conference Publications, 2015, 2015 (special) : 1000-1008. doi: 10.3934/proc.2015.1000 |
[17] |
Yasemin Şengül. Viscoelasticity with limiting strain. Discrete and Continuous Dynamical Systems - S, 2021, 14 (1) : 57-70. doi: 10.3934/dcdss.2020330 |
[18] |
Leticia Pardo-Simón. Criniferous entire maps with absorbing Cantor bouquets. Discrete and Continuous Dynamical Systems, 2022, 42 (2) : 989-1010. doi: 10.3934/dcds.2021144 |
[19] |
Donatella Donatelli, Corrado Lattanzio. On the diffusive stress relaxation for multidimensional viscoelasticity. Communications on Pure and Applied Analysis, 2009, 8 (2) : 645-654. doi: 10.3934/cpaa.2009.8.645 |
[20] |
Monica Conti, V. Pata. Weakly dissipative semilinear equations of viscoelasticity. Communications on Pure and Applied Analysis, 2005, 4 (4) : 705-720. doi: 10.3934/cpaa.2005.4.705 |
2020 Impact Factor: 1.392
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