Geodesic
Averaging the Trajectory Attractor of a Nonlinear Wave Equation with Rapidly Oscillating Right-Hand Side
Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 390-394
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We consider a nonlinear nonautonomous hyperbolic equation with dissipation and with a small parameter multiplying the highest derivative with respect to time. This equation also involves a rapidly oscillating external force. Using a standard technique for constructing the trajectory attractor, we can prove the convergence of the attractor of a nonlinear nonautonomous hyperbolic equation with dissipation to the attractor of the corresponding parabolic equation.
Keywords: nonlinear wave equation, trajectory attractor, rapidly oscillating external force, Galerkin method.
Mots-clés : parabolic equation 
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A. S. Lyapin. Averaging the Trajectory Attractor of a Nonlinear Wave Equation with Rapidly Oscillating Right-Hand Side. Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 390-394. http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a6/

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