Decay of solutions to dissipative modified quasi-geostrophic equations
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- by Lucas C. F. Ferreira, César J. Niche and Gabriela Planas PDF
- Proc. Amer. Math. Soc. 145 (2017), 287-301 Request permission
Abstract:
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.References
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Additional Information
- Lucas C. F. Ferreira
- Affiliation: Departamento de Matemática, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Rua Sergio Buarque de Holanda, 651, 13083-859, Campinas - SP, Brazil
- MR Author ID: 795159
- Email: lcff@ime.unicamp.br
- César J. Niche
- Affiliation: Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal do Rio de Janeiro, CEP 21941-909, Rio de Janeiro - RJ, Brazil
- MR Author ID: 680529
- Email: cniche@im.ufrj.br
- Gabriela Planas
- Affiliation: Departamento de Matemática, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Rua Sergio Buarque de Holanda, 651, 13083-859, Campinas - SP, Brazil
- MR Author ID: 701462
- Email: gplanas@ime.unicamp.br
- Received by editor(s): March 20, 2016
- Published electronically: July 25, 2016
- Additional Notes: The authors were partially supported by CNPq, Brazil
The first author was also supported by FAPESP, Brazil - Communicated by: Joachim Krieger
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 287-301
- MSC (2010): Primary 35B40; Secondary 35Q35, 35Q86
- DOI: https://doi.org/10.1090/proc/13280
- MathSciNet review: 3565380