Universal attractor in H4 for the nonlinear one-dimensional compressible Navier-Stokes equations

[摘要] This paper is concerned with the regularity, exponential stability of solutions and existence of universal attractor in H-4 for a nonlinear one-dimensional compressible Navier-Stokes equations describing a motion of heat-conductive viscous real gas in a bounded domain Omega = (0, 1). Some new ideas and more delicated estimates are introduced to prove these results. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-12-01

[关键词] heat-conductive viscous real gas;exponential stability;absorbing set;C-0-semigroup;universal attractor