Global well-posedness of the incompressible fractional Navier-Stokes equations in Fourier-Besov spaces with variable exponents

DOI10.1016/j.camwa.2018.10.039zbMath1442.35354OpenAlexW2900356914MaRDI QIDQ2203801

Muhammad Zainul Abidin, Shaolei Ru

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.039

zbMATH Keywords

global well-posednessfractional Navier-Stokes equationsvariable exponent Fourier-Besov spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)

Related Items (5)

Global well-posedness for fractional Navier-Stokes equations in variable exponent Fourier-Besov-Morrey spaces ⋮ Global well-posedness of generalized magnetohydrodynamics equations in variable exponent Fourier-Besov-Morrey spaces ⋮ Unnamed Item ⋮ Global well-posedness and analyticity for the 3D fractional magnetohydrodynamics equations in variable Fourier-Besov spaces ⋮ Well-posedness for stochastic fractional Navier-Stokes equation in the critical Fourier-Besov space

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