Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval
Keyword(s):
Blow Up
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We study the initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval subject to inhomogeneous boundary conditions. First we prove a local in time existence theorem and present a weak-strong uniqueness result. Then, we establish a asymptotic stabilization of this system by a boundary feedback. Finally, we obtain a result of blow-up solution with certain initial data and boundary profiles.
2013 ◽
Vol 403
(1)
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pp. 89-94
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2013 ◽
Vol 785-786
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pp. 1454-1458
2005 ◽
Vol 60
(7)
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pp. 473-476
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