Decay rate of a weakly dissipative viscoelastic plate equation with infinite memory
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Abstract In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.
2007 ◽
Vol 35
(5)
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pp. 505-524
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2013 ◽
Vol 5
(18)
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pp. 4499-4503
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1997 ◽
Vol 33
(3)
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pp. 2265-2273
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2004 ◽
Vol 40
(4)
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pp. 3204-3206
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1989 ◽
Vol 136
(4)
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pp. 217-222
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2010 ◽
Vol 26
(2)
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pp. 205-233
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2013 ◽
Vol 33
(1/2)
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pp. 126-136
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