DECAY OF SOLUTIONS TO DISSIPATIVE MODIFIED QUASI-GEOSTROPHIC EQUATIONS

作者:Ferreira Lucas C F*; Niche Cesar J; Planas Gabriela
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(1): 287-301.
DOI:10.1090/proc/13280

摘要

We are concerned with global weak solutions to dissipative modified quasi-geostrophic equations. By employing the Fourier Splitting method, we show time-polynomial decay of solutions for certain types of L-p-initial data. We also prove decay estimates for the difference between the full solution and the solution to the linear part. Our results cover, in particular, the supercritical range of the fractional diffusion.

  • 出版日期2017-1