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Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source ☆
Abstract In this paper we investigate the global existence and finite time blow-up of solutions to the system of nonlinear viscoelastic wave equations u t t − Δ u + ∫ 0 t g 1 ( t − τ ) Δ u ( τ ) d τExpand
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Global existence and uniform decay for a nonlinear viscoelastic equation with damping
Abstract In this paper we investigate a nonlinear viscoelastic equation with linear damping. Global existence of weak solutions and the uniform decay estimates for the energy have been established.
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Energy decay rate for a coupled hyperbolic system with nonlinear damping
Abstract In this paper we investigate the energy decay rate for the solution of a coupled hyperbolic system. The explicit energy decay rate is established by using multiplier techniques andExpand
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General decay of energy for a viscoelastic equation with nonlinear damping
In this paper we are concerned with a nonlinear viscoelastic equation with nonlinear damping. The general uniform decay of the energy is obtained. Copyright © 2008 John Wiley & Sons, Ltd.
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Global existence and blow‐up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source
In this paper we investigate the global existence and finite time blow-up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions.Expand
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Existence of non-Abelian vortices with product gauge groups
Abstract In this paper we establish several sharp existence and uniqueness theorems for some non-Abelian vortex models arising in supersymmetric gauge field theories. We prove these results byExpand
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Global existence and asymptotic behavior for a coupled hyperbolic system with localized damping
Abstract In this paper we investigate the global existence and energy decay rate for the solution of a coupled hyperbolic system. The semi-explicit energy decay rate is established by using piecewiseExpand
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Bubbling solutions for a skew-symmetric Chern–Simons system in a torus
Abstract We establish the existence of bubbling solutions for the following skew-symmetric Chern–Simons system { Δ u 1 + 1 e 2 e u 2 ( 1 − e u 1 ) = 4 π ∑ i = 1 N 1 δ p i 1 Δ u 2 + 1 e 2 e u 1 ( 1 −Expand
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Well-posedness for the 2-D damped wave equations with exponential source terms
In this paper we study well-posedness of the damped nonlinear wave equation in Ω × (0, ∞) with initial and Dirichlet boundary condition, where Ω is a bounded domain in ℝ2; ω⩾0, ωλ1+µ>0Expand
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