Results 1 to 10 of about 1,078 (81)
The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded. [PDF]
Fundam ResAlinhac solved a long-standing open problem in 2001 and established that quasilinear wave equations in two space dimensions with quadratic null nonlinearities admit global-in-time solutions, provided that the initial data are compactly supported and ...
Dong S, LeFloch PG, Lei Z.
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Polynomial stability of the wave equation with distributed delay term on the dynamical control
Nonautonomous Dynamical Systems, 2021 Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
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Quasi-stability and continuity of attractors for nonlinear system of wave equations
Nonautonomous Dynamical Systems, 2021 In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M. +4 more
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Advances in Nonlinear Analysis, 2023 We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
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Advanced Nonlinear Studies, 2022 For studying the evolution of the transverse deflection of an extensible beam derived from the connection mechanics, we investigate the initial boundary value problem of nonlinear extensible beam equation with linear strong damping term, nonlinear weak ...
Yang Chao +3 more
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On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Advances in Nonlinear Analysis, 2022 This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
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Advanced Nonlinear Studies, 2022 The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
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Reconstructing The Moore-Gibson-Thompson Equation
Nonautonomous Dynamical Systems, 2020 We are concerned with the inverse problem of recovering a third order Moore-Gibson-Thompson equation from a single observation of its solution at an arbitrary point.
Al-Khulaifi Waled, Boumenir Amin
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An accurate and efficient local one-dimensional method for the 3D acoustic wave equation
Demonstratio Mathematica, 2022 We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
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Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 more
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