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| GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FORTHE NEWTON-BOUSSINESQ EQUATIONS |
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Citation： |
Guo Boling,Wang Bixiang.GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FORTHE NEWTON-BOUSSINESQ EQUATIONS[J].Chinese Annals of Mathematics B,1998,19(2):179~188 |
| Page view： 1193
Net amount： 1065 |
Authors： |
Guo Boling; Wang Bixiang |
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| Abstract： |
The authors show
the Gevrey class regularity of the solutions
for the two-dimensional Newton-Boussinesq Equations. Based on this fact,
an approximate inertial manifold for the system is constructed, which
attracts all solutions to an exponentially thin neighborhood
of it in a finite time. |
Keywords： |
Gevrey class regularity, Global attractor, Approximate
inertial manifold,Newton-Boussinesq Equation |
Classification： |
35K57, 35B40, 58F39 |
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