Strongly Damped Wave Equation
Asymptotic Behavior of Stochastic Strongly Damped Wave Equation with Multiplicative Noise
... In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with multiplicative noise under homogeneous Dirichlet boundary condition. We investigate the ...
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The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*
... There have been many researches on the long-time be- havior of solutions to the nonlinear damped wave equa- tions with delays. The existence of random attractors has been investigated by many authors, see, ...
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Random Attractor of the Stochastic Strongly Damped for the Higher Order Nonlinear Kirchhoff Type Equation
... stochastic damped wave equation with multiplicative noise defined on unbounded domains, and investigate the existence of a random attractor, they overcome the difficulty of lacking the compactness of ...
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Existence of solutions to strongly damped quasilinear wave equations
... the strongly damped quasilinear wave ...a strongly damped wave equation and to a class of strongly damped quasilinear wave ...
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Regularity of the attractor for strongly damped wave equations with nonlinearity
... The long time behavior of the solutions for the strongly damped wave equation is considered with nonlinear damping, a nonlinear forcing term, and with a periodic boundary condition. We prove ...
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The Global Attractors for the Higher Order Kirchhoff Type Equation with Nonlinear Strongly Damped Term
... that equation and their additional regularity are also ...semi-linear strongly damped wave equation, their result allows to remove the long-standing growth restriction ...
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Uniform Exponential Attractors for Non Autonomous Strongly Damped Wave Equations
... of wave phenomena, occur in the extensive applications of mathe- matical ...physics. Equation (1.1) can be regarded as a perturbed equation of a continuous Josephson junction where f u ( ) = sin u , ...
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Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains
... deterministic strongly damped wave equation has been studied by many authors (see [2]-[11], ...stochastic wave equation, the asymptotical behavior of solutions have been studied ...
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On a nonlinear degenerate evolution equation with strong damping
... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ...
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Exponential attractors for the strongly damped wave equations with critical exponent
... Fréchet differential with respect to the initial value, we apply our standard method estab- lished in [] to obtain the exponential attractor for equation (.) without the restrictions (.), (.) in []. In ...
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Strongly damped wave equations with Stepanov type nonlinear forcing term
... 16. Mishra, I., Bahuguna, D.: Weighted pseudo almost automorphic solution of an integro-differential equation, with weighted Stepanov-like pseudo almost automorphic forcing term. Appl. Math. Comput. 219(10), ...
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On the existence of solutions of strongly damped nonlinear wave equations
... Equation (1.1) has its origin in the nonlinear vibrations of an elastic string (cf. Narasimha [6]). We call equation (1.1) a nondegenerate equation when α > 0 and β > 0 and a degenerate one ...
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The Global Attractor of Thermoelastic Coupled System
... weakly damped nonlinear wave Equation (2) as α, ε = 0 is studied in Temam [1] and Zhu [2] and Wang [3] and the one for the strongly damped nonlinear wave equation is ...
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On the Strongly Damped Wave Equations with Critical Nonlinearities
... its Y-norm blows up in finite time. Results obtained here, which can be viewed as useful supplements to the references listed above, tell us that in a semilinear parabolic equation, substitution of phase spaces ...
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Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method
... The variational iteration method was effectively applied in various fields of science and engineering [–] and the references therein. It is in some cases, more powerful than the existing techniques, e.g., the fractional ...
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Solving damped wave equation using finite difference method and interpolation using cubic B-spline
... In this research, the method of finite difference and cubic B-spline are applied which is focuses in one dimensional damped wave equation. The derivatives in finite difference method is approximated ...
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Global solutions to a class of nonlinear damped wave operator equations
... semilinear damped wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| p or f(u) = 0 is too special; some authors [12-14] discussed ...
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Exponential growth for wave equation with fractional boundary dissipation and boundary source term
... The wave equation with boundary source term and fractional boundary dissipation is considered. The exponential growth for sufficiently large initial data is proved. To this end some techniques based on ...
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Estimate on the Dimension of Global Attractor for Nonlinear Higher Order Coupled Kirchhoff Type Equations
... G. G. Lin and L. J., Hu have studied the existence of a global attractor for coupled Kirchhoff type equations with strongly linear damping in [1]. In this paper, we are concerned with the finite dimensions of the ...
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Error estimates of a semi discrete LDG method for the system of damped acoustic wave equation
... We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R 2 . In this paper, we show the system is well-posed and stable with energy decays ...
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