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.
- Sorbonne Paris Cité France
- Panthéon-Assas University France
- University of Paris France
- French National Centre for Scientific Research France
- UNIVERSITE PARIS DESCARTES France
decay estimates, Incompressible Navier-Stokes equations, critical regularity, Asymptotic behavior of solutions to PDEs, Smoothness and regularity of solutions to PDEs, Navier-Stokes equations for incompressible viscous fluids, Gevrey regularity, Gevrey regularity 2020 Mathematics Subject Classification. 35Q35; 76N10 Hyperbolic systems, Analyticity in context of PDEs, 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, Mathematics - Analysis of PDEs, incompressible Navier-Stokes equations, two-dimensional, FOS: Mathematics, partially dissipative, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Navier-Stokes equations, Analysis of PDEs (math.AP)
decay estimates, Incompressible Navier-Stokes equations, critical regularity, Asymptotic behavior of solutions to PDEs, Smoothness and regularity of solutions to PDEs, Navier-Stokes equations for incompressible viscous fluids, Gevrey regularity, Gevrey regularity 2020 Mathematics Subject Classification. 35Q35; 76N10 Hyperbolic systems, Analyticity in context of PDEs, 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, Mathematics - Analysis of PDEs, incompressible Navier-Stokes equations, two-dimensional, FOS: Mathematics, partially dissipative, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Navier-Stokes equations, Analysis of PDEs (math.AP)
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