Navier-Stokes方程的稳态解和吸引子

STABLE SOLUTIONS AND ATTRACTORS OF THE NAVIER-STOCKES EQUATIONS

本文将证明Navier－Stokes方程的解当t→十∞时趋于稳态解（定常N－S方程的解）．并由此推出N－S方程存在集合满足泛（或称整体）吸引子或函数不变集条件的充要条件．

In this paper, we shall prove that a solution of the Navier-Stockes equationsconverges, as t→∞, to stable solutions (the solutions of the steady-state Navier-Stockesequations). Then we get the sufficient and necessary condition of existing a set whichsafisfies conditions of the universal (or global) attrator or functional invariant sets for theNavier-Stockes equations.