Damped Wave Equation
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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Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method
... In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation ...
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Existence of multiple equilibrium points in global attractor for damped wave equation
... some damped wave equation with critical ...some wave equations under some suitable assumptions in the case that the origin is an unstable equilibrium ...
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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 existence ...
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A Simple Solution for the Damped Wave Equation with a Special Class of Boundary Conditions Using the Laplace Transform
... It has been proven that under a special class of boundary conditions the solution for the damped wave equation (1) can be constructed with relative ease. The specialty of the class of boundary ...
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Remark on global attractor for damped wave equation on \(\mathbb{R}^{3}\)
... The aim of this note is to study the existence and translational regularity of a global attractor for the weakly damped wave equation with lower regular forcing in unbounded domain. It is worth ...
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The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*
... [14] M. H. Yang, J. Q. Duan and P. Kloeden, “Asymptotic Behavior of Solutions for Random Wave Equations with Nonliear Damping and White Noise,” Nonlinear Analysis: Real World Applications, Vol. 12, No. 1, 2011, ...
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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 that the ...
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Existence of solutions to strongly damped quasilinear wave equations
... strongly damped quasilinear wave ...strongly damped wave equation and to a class of strongly damped quasilinear wave ...
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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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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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Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ...
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On Damped Wave Diffusion of Oxygen in Pancreatic Islets: Parabolic and Hyperbolic Models
... the wave front the method of Chebyshev econo- mization is expected to be closer to the exact ...the wave front the numerical error in the method of Chebyshev economiza- tion is expected to become ...
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A New Wave Equation of the Electron
... relativistic wave equation [1]. He had wanted to find an equation for the electron that would be consistent with special relativity and de- scribe the known fine structure frequency spectrum of ...
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New Applications to Solitary Wave Ansatz
... solitary wave ansatz method is rather heuristic and processes significant features that make it practical for the determina- tion of single soliton solutions for a wide class of nonlinear evolution ...solitary ...
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Full discretization of wave equation
... Laplace equation and Maxwell system, the finite element method is one of the most relied on methods because it is much more interested in the analysis of the error committed between the exact solution and the ...
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Strongly damped wave equations with Stepanov type nonlinear forcing term
... boundedness, classical (resp., strong) solutions, and the topological structure of solutions set of strongly damped semilinear wave equations. Recently, Xia et al. in [22] introduced and investigated the ...
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Exponential attractors for the strongly damped wave equations with critical exponent
... value of – on H (), Webb first considered the asymptotic behavior of strongly damped wave equations in []. Then, in [], Carvalho et al. showed the existence of the global at- tractor for wave ...
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The Wave Equation and General Plane Wave Solutions in Fractional Space
... vector wave equation in fractional space. General plane wave solution to the wave equation for fields in source-free and lossless media is obtained in fractional ...of wave ...
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Projective structure and integrable geodesic flows on the extension of Bott Virasoro group
... Ito equation, modified dispersive water wave equation, and modified dispersionless long wave equation are the geodesic flows with respect to an L 2 metric on the semidirect product space ...
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