Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
Carlos Frederico Vasconcellos, Lucia Maria Teixeira (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Carlos Frederico Vasconcellos, Lucia Maria Teixeira (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Yoshihiro Shibata (1993)
Commentationes Mathematicae Universitatis Carolinae
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The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.
Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)
Control and Cybernetics
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Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
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Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Yang Zhifeng (2008)
Open Mathematics
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The initial boundary value problem for a viscoelastic equation with nonlinear damping in a bounded domain is considered. By modifying the method, which is put forward by Li, Tasi and Vitillaro, we sententiously proved that, under certain conditions, any solution blows up in finite time. The estimates of the life-span of solutions are also given. We generalize some earlier results concerning this equation.
Mitsuhiro Nakao (1991)
Mathematische Zeitschrift
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Zhuan Ye (2015)
Colloquium Mathematicae
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We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.
Otto Liess (1989)
Journées équations aux dérivées partielles
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