On the strongly damped wave equation with nonlinear damping and source terms.
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations.”
On the strongly damped wave equation with nonlinear damping and source terms.
Blowup of solutions for evolution equations with nonlinear damping.
Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Blow-up of solutions for a viscoelastic equation with nonlinear damping
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.
Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation
Jong Yeoul Park, Sun Hye Park (2006)
Czechoslovak Mathematical Journal
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We consider the damped semilinear viscoelastic wave equation with nonlocal boundary dissipation. The existence of global solutions is proved by means of the Faedo-Galerkin method and the uniform decay rate of the energy is obtained by following the perturbed energy method provided that the kernel of the memory decays exponentially.
Global solutions for a nonlinear wave equation with the -Laplacian operator.
Gao, Hongjun, Ma, To Fu (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On a shock problem involving a nonlinear viscoelastic bar.
Nguyen Thanh Long, Pham Ngoc Dinh, Alain, Tran Ngoc Diem (2005)
Boundary Value Problems [electronic only]
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Blow-up results for a nonlinear hyperbolic equation with Lewis function.
Tahamtani, Faramarz (2009)
Boundary Value Problems [electronic only]
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Approximation of solutions to evolution integrodifferential equations.
Bahuguna, D., Srivastava, S.K. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Instability of the stationary solutions of generalized dissipative Boussinesq equation
Amin Esfahani (2014)
Applications of Mathematics
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In this work we study the generalized Boussinesq equation with a dissipation term. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive sufficient conditions for the blow-up of the solution to the problem. Furthermore, the instability of the stationary solutions of this equation is established.