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GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FOR THE NEWTON-BOUSSINESQ EQUATIONS 被引量:2

GEVREY CLASS REGULARITY AND APPROXIMATE INERTIAL MANIFOLDS FOR THE NEWTON-BOUSSINESQ EQUATIONS
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摘要 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. 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.
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出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1998年第2期179-188,共10页 数学年刊(B辑英文版)
关键词 Gevrey class regularity Global attractor Approximate inertial manifold Newton-Boussinesq Equation Gevrey class regularity Global attractor Approximate inertial manifold Newton-Boussinesq Equation
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