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- Bae, Hantaek
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Regularity and Decay Estimates of Dissipative Equations
- Author(s)
- Bae, Hantaek, Biswas, Animikh, Tadmor, Eitan
- Issued Date
- 2016-02-16
- Citation
- 6th Korea PDE School
- Abstract
- We establish Gevrey regularity of solutions to dissipative equations. The main tools are Gevrey estimates in Sobolev spaces (using Kato-Ponce estimates in Gevrey space) and in Besov spaces (using the Littlewood-Paley decomposition). As an application, we obtain temporal decay rate of solutions for a large class of equations including the incompressible Navier-Stokes equations.
- Publisher
- NIMS
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