Weak Morrey spaces and strong solutions to the Navier-Stokes equations

DOI10.1007/s11425-007-0101-9zbMath1149.35071OpenAlexW2202981033MaRDI QIDQ2464303

Bao-Quan Yuan, Chang Xing Miao

Publication date: 19 December 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0101-9

zbMATH Keywords

Navier-Stokes equationsself-similar solutionsCauchy problemweak Morrey spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30)

Related Items (13)

Nonhomogeneous central Morrey-type spaces in \(L^{p(\cdot)}\) and weak estimates for the maximal and Riesz potential operators ⋮ A trace problem for associate Morrey potentials ⋮ Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces ⋮ Embeddings for Morrey-Lorentz spaces ⋮ Weak type estimates of singular integral operators on Morrey-Banach spaces ⋮ On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations ⋮ Atomic decompositions and Hardy's inequality on weak Hardy-Morrey spaces ⋮ The dissipative quasi-geostrophic equation in weak Morrey spaces ⋮ Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices ⋮ Weak type estimates of the fractional integral operators on Morrey spaces with variable exponents ⋮ Besov-weak-Herz spaces and global solutions for Navier-Stokes equations ⋮ Morrey-Campanato Spaces: an Overview ⋮ Bilinear estimates and uniqueness for Navier-Stokes equations in critical Besov-type spaces

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