Besov-weak-Herz spaces and global solutions for Navier-Stokes equations

DOI10.2140/pjm.2018.296.57zbMath1402.35205arXiv1704.07001OpenAlexW2963831906MaRDI QIDQ1750826

Lucas C. F. Ferreira, Jhean E. Pérez-López

Publication date: 23 May 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07001

zbMATH Keywords

interpolationself-similaritywell-posednessBesov-weak-Herz spacesheat semigroup estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Interpolation between normed linear spaces (46B70) Self-similar solutions to PDEs (35C06) Heat kernel (35K08)

Related Items (3)

Well‐posedness and asymptotic behavior for the fractional Keller–Segel system in critical Besov–Herz‐type spaces ⋮ Boundedness of singular integral operators on weak Herz type spaces with variable exponent ⋮ Estimates of commutators on Herz-type spaces with variable exponent and applications

Cites Work

• Unnamed Item
• Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces
• The Navier-Stokes equations and weak Herz spaces
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations
• A generalization of a theorem by Kato on Navier-Stokes equations
• Smooth or singular solutions to the Navier-Stokes system?
• The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force
• Equivalent norms of Herz-type Besov and Triebel-Lizorkin spaces
• Self-similar solutions in weak \(L^ p\)-spaces of the Navier-Stokes equations
• Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
• On the Navier-Stokes initial value problem. I
• On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations
• Weak Morrey spaces and strong solutions to the Navier-Stokes equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
• Interpolation of Herz Spaces and Applications
• Navier-stokes flow in r³with measures as initial vorticity and morrey spaces
• Besov-Morrey spaces: Function space theory and applications to non-linear PDE
• Global mild solutions of Navier‐Stokes equations
• On Some Classes of Time-Periodic Solutions for the Navier--Stokes Equations in the Whole Space
• Strong solutions of the Navier-Stokes equation in Morrey spaces
• Well-posedness for the Navier-Stokes equations

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