On the uniqueness of weak solutions of the 3D MHD equations in the Orlicz–Morrey space

DOI10.1080/00036811.2011.636357zbMath1277.35292OpenAlexW1993725642MaRDI QIDQ4916348

Yoshihiro Sawano, Hitoshi Tanaka, Saddek Gala

Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.636357

zbMATH Keywords

uniquenessweak solutionsOrlicz-Morrey spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Function spaces arising in harmonic analysis (42B35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (12)

Non‐smooth atomic decomposition for generalized Orlicz‐Morrey spaces ⋮ On regularity criteria via pressure for the 3D MHD equations in a half space ⋮ An unification of Orlicz-Morrey spaces and its applications ⋮ Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces ⋮ On the Riesz potential and its commutators on generalized Orlicz-Morrey spaces ⋮ Some estimates for the bilinear fractional integrals on the Morrey space ⋮ Non-smooth atomic decompositions for generalized Orlicz-Morrey spaces of the third kind ⋮ Olsen-type inequalities for the generalized commutator of multilinear fractional integrals ⋮ A remark on two generalized Orlicz-Morrey spaces ⋮ Hardy spaces with variable exponents on RD-spaces and applications ⋮ Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces ⋮ Singular integral operators for rearrangement-invariant Morrey spaces on local fields

Cites Work

• Remarks on regularities for the 3D MHD equations
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• Regularity criteria for the 3D MHD equations in terms of the pressure
• Viscous and inviscid magneto-hydrodynamics equations
• A note on generalized fractional integral operators on generalized Morrey spaces
• Regularity criteria for the generalized viscous MHD equations
• Logarithmically improved regularity criteria for the 3D viscous MHD equations
• Some mathematical questions related to the mhd equations
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
• MORREY SPACES AND FRACTIONAL OPERATORS

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