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Semi discrete weakly damped nonlinear Klein-Gordon Schrödinger system

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  • We consider a semi-discrete in time relaxation scheme to discretize a damped forced nonlinear Klein-Gordon Schrödinger system. This provides us with a discrete infinite-dimensional dynamical system. We prove the existence of a finite dimensional global attractor for this dynamical system.
    Mathematics Subject Classification: Primary: 35Q55, 37L30.

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