Differential and Integral Equations
- Differential Integral Equations
- Volume 23, Number 3/4 (2010), 237-252.
Semi-discrete weakly damped nonlinear 2-D Schrödinger equation
We consider a semi-discrete in time Crank-Nicolson scheme to discretize a damped forced nonlinear Schrödinger equation in $2D$. This provides us with a discrete infinite-dimensional dynamical system. We prove the existence of a finite-dimensional global attractor for this dynamical system.
Differential Integral Equations, Volume 23, Number 3/4 (2010), 237-252.
First available in Project Euclid: 20 December 2012
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Ezzoug, Emna; Goubet, Olivier; Zahrouni, Ezzeddine. Semi-discrete weakly damped nonlinear 2-D Schrödinger equation. Differential Integral Equations 23 (2010), no. 3/4, 237--252. https://projecteuclid.org/euclid.die/1356019316