科研之友
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摘要
We address the study of decay rates of solutions to dissipative equations. The characterization of these rates is given for a wide class of linear systems by the decay character, which is a number associated to the initial datum that describes its behavior near the origin in frequency space. We then use the decay character and the Fourier Splitting method to obtain upper and lower bounds for decay rates of solutions to the dissipative quasi-geostrophic equation and to a compressible approximation to the 3D Navier-Stokes equations.
- 出版日期2015-4
