Global well posedness of 3D‐NSE in Fourier–Lei–Lin spaces | Zendy

Jlali Lotfi | Zendy

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Global well posedness of 3D‐NSE in Fourier–Lei–Lin spaces

Author(s) -

Jlali Lotfi

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4193

Subject(s) - mathematics , fourier transform , homogeneous , norm (philosophy) , mathematical analysis , compressibility , initial value problem , space (punctuation) , viscosity , fourier analysis , physics , combinatorics , linguistics , philosophy , political science , law , thermodynamics , quantum mechanics

In this paper, we prove a global well posedness of the three‐dimensional incompressible Navier–Stokes equation under an initial data, which belong to the non‐homogeneous Fourier–Lei–Lin spaceX − 1 , σfor σ ⩾ − 1 and if the norm of the initial data in the Lei–Lin spaceX − 1is controlled by the viscosity. Copyright © 2016 John Wiley & Sons, Ltd.

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