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Asymptotic behavior of solutions in nonlinear dynamic elasticity
1.  Department of Mathematics, University of Virginia, Charlottesville, VA 22903, United States 
2.  Department of Applied Mathematics, University of Virginia, Charlottesville, VA 22903, United States 
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Baowei Feng. On the decay rates for a onedimensional porous elasticity system with past history. Communications on Pure & Applied Analysis, 2019, 18 (6) : 29052921. doi: 10.3934/cpaa.2019130 
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Lie Zheng. Asymptotic behavior of solutions to the nonlinear breakage equations. Communications on Pure & Applied Analysis, 2005, 4 (2) : 463473. doi: 10.3934/cpaa.2005.4.463 
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Yongqin Liu. Asymptotic behavior of solutions to a nonlinear plate equation with memory. Communications on Pure & Applied Analysis, 2017, 16 (2) : 533556. doi: 10.3934/cpaa.2017027 
[4] 
Moez Daoulatli, Irena Lasiecka, Daniel Toundykov. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Discrete & Continuous Dynamical Systems  S, 2009, 2 (1) : 6794. doi: 10.3934/dcdss.2009.2.67 
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Jun Zhou. Global existence and energy decay estimate of solutions for a class of nonlinear higherorder wave equation with general nonlinear dissipation and source term. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
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Linghai Zhang. Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations. Discrete & Continuous Dynamical Systems  S, 2016, 9 (6) : 21812200. doi: 10.3934/dcdss.2016091 
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John A. D. Appleby, Alexandra Rodkina, Henri Schurz. Pathwise nonexponential decay rates of solutions of scalar nonlinear stochastic differential equations. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 667696. doi: 10.3934/dcdsb.2006.6.667 
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Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha, Daniel Toundykov. On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 583608. doi: 10.3934/dcdss.2009.2.583 
[9] 
JunRen Luo, TiJun Xiao. Decay rates for second order evolution equations in Hilbert spaces with nonlinear timedependent damping. Evolution Equations & Control Theory, 2019, 0 (0) : 00. doi: 10.3934/eect.2020009 
[10] 
Limei Dai. Entire solutions with asymptotic behavior of fully nonlinear uniformly elliptic equations. Communications on Pure & Applied Analysis, 2011, 10 (6) : 17071714. doi: 10.3934/cpaa.2011.10.1707 
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Hongwei Zhang, Qingying Hu. Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition. Communications on Pure & Applied Analysis, 2005, 4 (4) : 861869. doi: 10.3934/cpaa.2005.4.861 
[12] 
P. R. Zingano. Asymptotic behavior of the $L^1$ norm of solutions to nonlinear parabolic equations. Communications on Pure & Applied Analysis, 2004, 3 (1) : 151159. doi: 10.3934/cpaa.2004.3.151 
[13] 
Yuanyuan Liu, Youshan Tao. Asymptotic behavior in a chemotaxisgrowth system with nonlinear production of signals. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 465475. doi: 10.3934/dcdsb.2017021 
[14] 
Raegan Higgins. Asymptotic behavior of secondorder nonlinear dynamic equations on time scales. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 609622. doi: 10.3934/dcdsb.2010.13.609 
[15] 
Nakao Hayashi, Pavel I. Naumkin. Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited. Discrete & Continuous Dynamical Systems  A, 1997, 3 (3) : 383400. doi: 10.3934/dcds.1997.3.383 
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Tian Zhang, Huabin Chen, Chenggui Yuan, Tomás Caraballo. On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Discrete & Continuous Dynamical Systems  B, 2019, 24 (10) : 53555375. doi: 10.3934/dcdsb.2019062 
[17] 
Annie Raoult. Symmetry groups in nonlinear elasticity: an exercise in vintage mathematics. Communications on Pure & Applied Analysis, 2009, 8 (1) : 435456. doi: 10.3934/cpaa.2009.8.435 
[18] 
Dominique Blanchard, Nicolas Bruyère, Olivier Guibé. Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation. Communications on Pure & Applied Analysis, 2013, 12 (5) : 22132227. doi: 10.3934/cpaa.2013.12.2213 
[19] 
Shuhong Chen, Zhong Tan. Optimal interior partial regularity for nonlinear elliptic systems. Discrete & Continuous Dynamical Systems  A, 2010, 27 (3) : 981993. doi: 10.3934/dcds.2010.27.981 
[20] 
Liangjun Weng. The interior gradient estimate for some nonlinear curvature equations. Communications on Pure & Applied Analysis, 2019, 18 (4) : 16011612. doi: 10.3934/cpaa.2019076 
2018 Impact Factor: 1.143
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