Global existence and exponential stability of convection

[摘要] Consider thermal convection phenomena of a viscous incompressible fluid in a bounded domain under the influence of gravity. It is proved that when some parameters are small enough, a strong solution near a steady state exists globally in time and uniformly goes to the steady state as t --> infinity with an exponential rate. (C) 1995 Academic Press, Inc.

[发布日期] 1995-12-01