Well-posedness, analyticity and time decay of the 3D fractional magneto-hydrodynamics equations in critical Fourier-Besov-Morrey spaces with variable exponent
DOI10.1007/s41808-022-00172-xzbMath1500.35221OpenAlexW4284961165MaRDI QIDQ2091752
Achraf Azanzal, Chakir Allalou, Said Melliani
Publication date: 2 November 2022
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41808-022-00172-x
analytic solutionLittlewood-Paley theoryglobal well-posednessdecay estimatesFourier-Morrey-Besov spaces with variable exponentsfractional magneto-hydrodynamic (FMHD) equations
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Regularity of solutions in optimal control (49N60) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Fourier integral operators applied to PDEs (35S30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)
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