On the decay and Gevrey regularity of the solutions to the Navier–Stokes equations in general two-dimensional domains
Copyright policy )On the decay and Gevrey regularity of the solutions to the Navier–Stokes equations in general two-dimensional domains
The present paper is devoted to the proof of time decay estimates for derivatives at any order of finite energy global solutions of the Navier–Stokes equations in general two-dimensional domains. These estimates only depend on the order of derivation and on the L 2 norm of the initial data. The same elementary method just based on energy estimates and Ladyzhenskaya inequality also leads to Gevrey regularity results.
- University of Paris France
- Sorbonne University France
- University of Marne la Vallée France
- Laboratoire d’Analyse et de Mathématiques Appliquées France
- UNIVERSITE GUSTAVE EIFFEL France
decay estimates, Mathematics - Analysis of PDEs, two-dimensional, Incompressible Navier-Stokes equations, critical regularity, FOS: Mathematics, Gevrey regularity 2020 Mathematics Subject Classification. 35Q35; 76N10 Hyperbolic systems, partially dissipative, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Incompressible Navier-Stokes equations two-dimensional decay estimates Gevrey regularity 2020 Mathematics Subject Classification. 35Q35; 76N10 Hyperbolic systems critical regularity relaxation limit partially dissipative, relaxation limit, Analysis of PDEs (math.AP)
decay estimates, Mathematics - Analysis of PDEs, two-dimensional, Incompressible Navier-Stokes equations, critical regularity, FOS: Mathematics, Gevrey regularity 2020 Mathematics Subject Classification. 35Q35; 76N10 Hyperbolic systems, partially dissipative, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Incompressible Navier-Stokes equations two-dimensional decay estimates Gevrey regularity 2020 Mathematics Subject Classification. 35Q35; 76N10 Hyperbolic systems critical regularity relaxation limit partially dissipative, relaxation limit, Analysis of PDEs (math.AP)
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