Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations
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Publication:2286253
DOI10.1016/j.jfa.2019.108390zbMath1433.35234OpenAlexW2983258174WikidataQ126802522 ScholiaQ126802522MaRDI QIDQ2286253
Akira Okada, Senjo Shimizu, Hideo Kozono
Publication date: 10 January 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2019.108390
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)
Related Items (12)
Convergence of approximating solutions of the Navier-Stokes equations in \(\mathbb{R}^n\) ⋮ Well-posedness of mild solutions for the fractional Navier-Stokes equations in Besov spaces ⋮ Global well-posedness of the Navier-Stokes equations in homogeneous Besov spaces on the half-space ⋮ Refined decay estimate and analyticity of solutions to the linear heat equation in homogeneous Besov spaces ⋮ Complex valued semi-linear heat equations in super-critical spaces \(E^s_\sigma\) ⋮ Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus ⋮ Global well-posedness for the Navier-Stokes equations with the Coriolis force in function spaces characterized by semigroups ⋮ Long-time behaviors for the Navier-Stokes equations under large initial perturbation ⋮ On the uniqueness of a suitable weak solution to the Navier-Stokes Cauchy problem ⋮ Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier-Stokes equations ⋮ Stability of singular solutions to the Navier-Stokes system ⋮ Various regularity estimates for the Keller-Segel-Navier-Stokes system in Besov spaces
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