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| On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in Lp* |
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Citation： |
Ruilin HU,Ping ZHANG.On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in Lp*[J].Chinese Annals of Mathematics B,2022,43(5):749~772 |
| Page view： 445
Net amount： 374 |
Authors： |
Ruilin HU; Ping ZHANG |
Foundation： |
National Natural Science Foundation of China (Nos.11731007, 12031006, 11688101), the National Key R&D Program of China (No.2021YFA1000800) and K. C. Wong Education Foundation. |
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| Abstract： |
Given initial data u0 ∈ Lp(R3) for some p in[3, 18/5[, the auhtors ?rst prove that 3D incompressible Navier-Stokes system has a unique solution u = uL+v with uL def = et?u0 and v ∈ e L∞([0, T]; ˙ H5/2 ? 6/p ) ∩ L1(]0, T[; ˙H9/2 ? 6/p ) for some positive time T. Then they derive an explicit lower bound for the radius of space analyticity of v, which in particular extends the corresponding results in [Chemin, J.-Y., Gallagher, I. and Zhang, P., On the radius of analyticity of solutions to semi-linear parabolic system, Math. Res. Lett., 27, 2020, 1631– 1643, Herbst, I. and Skibsted, E., Analyticity estimates for the Navier-Stokes equations, Adv. in Math., 228, 2011, 1990–2033] with initial data in ˙Hs(R3) for s∈[1/2,3/2[. |
Keywords： |
Incompressible Navier-Stokes equations, Radius of analyticity, Littlewood-Paley theory |
Classification： |
35Q30, 76D03 |
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