Strong Damping
General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
... This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem. Then, we prove the global existence of ...
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Uniform Attractors for a Non Autonomous Thermoviscoelastic Equation with Strong Damping
... DOI: 10.4236/jamp.2018.612209 2496 Journal of Applied Mathematics and Physics [14] Cavalcanti, M.M., Domingos Cavalcanti, V.N. and Ferreira, J. (2001) Existence and Uniform Decay for a Non-Linear Viscoelastic Equation ...
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Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
... In this paper we consider a quasilinear viscoelastic wave equation with initial-boundary conditions, strong damping and source term. Under suitable assumptions on the initial data and the relaxation ...
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Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation
... This question has been addressed for the wave equation (.) by Gazzola and Squassina [] and Yu [] (see also Graber and Said-Houari [] for a strongly damped wave equation with dynamic boundary conditions). From the ...
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The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms
... Abstract In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear da[r] ...
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Random Attractors for the Kirchhoff Type Suspension Bridge Equations with Strong Damping and White Noises
... In this paper, we investigate the existence of random attractor for the random dynamical system generated by the Kirchhoff-type suspension bridge equa- tions with strong damping and white noises. We first ...
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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 energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping
... stants and r is a real number such that 0 <r ≤ 2/(n - 2) if n ≥ 3 or r > 0 if n = 1, 2. Under suitable assumptions on the functions g(s), h(s), f(u, v), k(u, v), they used the perturbed energy method to show that ...
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Global Attractor of Two Dimensional Strong Damping KDV Equation and Its Dimension Estimation
... ABSTRACT Firstly, a priori estimates are obtained for the existence and uniqueness of solutions of two dimensional KDV equations, and prove the existence of the global attractor, finally[r] ...
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On decay properties of solutions for degenerate Kirchhoff equations with strong damping and source terms
... Ono, K: On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with strong dissipation. Ono, K: On decay prop[r] ...
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Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms
... linear damping ( m = 2 ) and nonlinear source has been first considered by Levine [7] ...nonlinear damping ( m > 2 ) and the source terms was stu- died by Georgiev and Todorova [9], for a bounded domain ...
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Existence of random attractors for the floating beam equation with strong damping and white noise
... Ma, QZ, Zhong, CK: Existence of strong solutions and global attractors for the coupled suspension bridge equations.. Ma, QZ, Wang, SP, Chen, XB: Uniform attractors for the coupled suspen[r] ...
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The Inertial Manifold for a Class of Nonlinear Higher Order Coupled Kirchhoff Equations with Strong Linear Damping
... In this paper, basing on previous studies, the existence of the inertial manifold for nonlinear Kirchhoff type equations with higher-order strong damping is considered by using the Hadamard graph ...
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General decay for a wave equation of Kirchhoff type with a boundary control of memory type
... By adopting and modifying the method proposed by Messaoudi and Soufyane in 2010 [17], we establish a general decay result, from which the usual exponential and polynomial decay rate are only special cases. Further, our ...
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Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents
... Cavalcanti, MM, Domingos Cavalcanti, VN, Ferreira, J: Existence and uniform decay for nonlinear viscoelastic equation with strong damping.. Cavalcanti, MM, Domingos Cavalcanti, VN, Soria[r] ...
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Standing waves and global existence for nonlinear wave equations with potential, strong, and nonlinear damping terms
... of strong damping (ω > , m = , V (x) = ) and nonlinear source terms (p > ) has been studied by Gazzola and Squassina in ...nonlinear damping term (ω > , m > , p > ...
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Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise
... DOI: 10.4236/apm.2019.94018 406 Advances in Pure Mathematics noise studied by predecessors, the existence and uniqueness of solutions of sto- chastic higher-order Kirchhoff equation with strong damping of ...
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Regularity of Global Attractors for the Kirchhoff Wave Equation
... a strong dissipation and proved that the continuous semigroup S t ( ) possessed global attractors in the phase spaces with low ...with strong damping and critical nonlinearities, ...with ...
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General decay for a system of nonlinear viscoelastic wave equations with weak damping
... Liang, F, Gao, H: Exponential energy decay and blow up of solutions for a system of nonlinear viscoelastic wave equations with strong damping. Liu, W: Uniform decay of solutions for a qu[r] ...
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Strong coupling induced damping of spin echo modulations in magic angle spinning NMR:implications for J coupling measurements in disordered solids
... The interest in J couplings here lies in the information they provide on networks in disordered systems such as phosphate glasses [6,7]. We have previously shown how couplings two orders of magnitude weaker than the ...
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