A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING
Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 419-430
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We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on the displacement. We prove the existence of a regular connected global attractor of finite fractal dimension for the associated dynamical system, as well as the existence of an exponential attractor.
GATTI, STEFANIA; PATA, VITTORINO. A ONE-DIMENSIONAL WAVE EQUATION WITH NONLINEAR DAMPING. Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 419-430. doi: 10.1017/S0017089506003156
@article{10_1017_S0017089506003156,
author = {GATTI, STEFANIA and PATA, VITTORINO},
title = {A {ONE-DIMENSIONAL} {WAVE} {EQUATION} {WITH} {NONLINEAR} {DAMPING}},
journal = {Glasgow mathematical journal},
pages = {419--430},
year = {2006},
volume = {48},
number = {3},
doi = {10.1017/S0017089506003156},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003156/}
}
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