# American Institute of Mathematical Sciences

November  2002, 8(4): 1025-1042. doi: 10.3934/dcds.2002.8.1025

## Long-time asymptotic behaviors of solutions of $N$-dimensional dissipative partial differential equations

 1 School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN 55455, United States

Received  January 2001 Revised  April 2002 Published  July 2002

We establish the optimal rate of decay for the global solutions of some nonlinear partial differential equations with dissipation. We apply the well known Fourier splitting technique invented by Maria Schonbek in [1] -- [5] to achieve our goal.
Citation: Linghai Zhang. Long-time asymptotic behaviors of solutions of $N$-dimensional dissipative partial differential equations. Discrete and Continuous Dynamical Systems, 2002, 8 (4) : 1025-1042. doi: 10.3934/dcds.2002.8.1025
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