DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
2008 ◽
Vol 18
(07)
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pp. 1001-1025
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Keyword(s):
We consider the initial value problem for a nonlinear version of the dissipative Timoshenko system. This syetem verifies the decay property of regularity-loss type. To overcome this difficulty caused by the regularity-loss property, we employ the time weighed L2energy method which is combined with the optimal L2decay estimates for lower order derivatives of solutions. Then we show the global existence and asymptotic decay of solutions under smallness and enough regularity conditions on the initial data. Moreover, we show that the solution approaches the linear diffusion wave expressed in terms of the superposition of the heat kernels as time tends to infinity.
2008 ◽
Vol 18
(05)
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pp. 647-667
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Keyword(s):
2012 ◽
Vol 22
(02)
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pp. 1150012
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Keyword(s):
Numerical investigation for solutions and derivatives of singularly perturbed initial value problems
2021 ◽
Vol 11
(2)
◽
pp. 123
Keyword(s):
2020 ◽
Vol 20
(1)
◽
pp. 109-120
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2006 ◽
Vol 04
(03)
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pp. 263-310
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1997 ◽
Vol 192
(1-4)
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pp. 1-16
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Keyword(s):
Keyword(s):