Stability results of some first order viscous hyperbolic systems
2019 ◽
Vol 25
◽
pp. 33
Keyword(s):
In this paper, we first introduce an abstract viscous hyperbolic problem for which we prove exponential decay under appropriated assumptions. We then give some illustrative examples, like the linearized viscous Saint-Venant system. In order to achieve the optimal decay rate, we also perform a detailed spectral analysis of our abstract problem under a natural assumption satisfied by various examples. We finally consider the boundary stabilizability of the linearized viscous Saint-Venant system on trees.
2017 ◽
Vol 263
(12)
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pp. 8391-8417
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2000 ◽
Vol 246
(2)
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pp. 423-445
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2014 ◽
Vol 16
◽
pp. 146-162
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Keyword(s):
2012 ◽
Vol 25
(3)
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pp. 600-604
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2013 ◽
Vol 143
(5)
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pp. 905-927
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Keyword(s):
2015 ◽
Vol 38
(10)
◽
pp. 1199-1216
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2006 ◽
Vol 318
(2)
◽
pp. 667-691
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Keyword(s):