On a nonlinear wave equation with damping.
L. A. Medeiros, M. Milla Miranda (1990)
Revista Matemática de la Universidad Complutense de Madrid
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L. A. Medeiros, M. Milla Miranda (1990)
Revista Matemática de la Universidad Complutense de Madrid
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Nunes Rabello, Tania (1994)
International Journal of Mathematics and Mathematical Sciences
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Vasconcellos, Carlos Frederico (1988)
International Journal of Mathematics and Mathematical Sciences
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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.
Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Doan Thi Nhu Quynh, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2023)
Applications of Mathematics
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We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the kernel function and the nonlinear terms. Finally, under suitable...
Bui Duc Nam, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2022)
Mathematica Bohemica
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We study a system of nonlinear wave equations of the Kirchhoff-Carrier type containing a variant of the Balakrishnan-Taylor damping in nonlinear terms. By the linearization method together with the Faedo-Galerkin method, we prove the local existence and uniqueness of a weak solution. On the other hand, by constructing a suitable Lyapunov functional, a sufficient condition is also established to obtain the exponential decay of weak solutions.
Carlos Frederico Vasconcellos, Lucia Maria Teixeira (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Kastenholz, Michael, Lange, Horst, Nieder, Dirk (1989)
Portugaliae mathematica
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Ferreira, Jorge, Pereira, Ducival Carvalho (1992)
International Journal of Mathematics and Mathematical Sciences
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Nishihara, Kenji, Nishibata, Shinya (2001)
Journal of Inequalities and Applications [electronic only]
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Clark, Haroldo R. (1998)
International Journal of Mathematics and Mathematical Sciences
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