Global large solutions to the 3-D generalized incompressible Navier-Stokes equations (Q2045246)

scientific article; zbMATH DE number 7381192

Language	Label	Description	Also known as
English	Global large solutions to the 3-D generalized incompressible Navier-Stokes equations	scientific article; zbMATH DE number 7381192

Statements

instance of

scholarly article

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title

Global large solutions to the 3-D generalized incompressible Navier-Stokes equations (English)

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author

Shunhang Zhang

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published in

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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publication date

12 August 2021

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zbMATH Keywords

generalized incompressible Navier-Stokes equations

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global well-posedness

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Littlewood-Paley theory

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Besov space

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s40840-020-01051-1

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cites work

Fourier Analysis and Nonlinear Partial Differential Equations

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Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires

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Ill-posedness of the Navier-Stokes equations in a critical space in 3D

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A generalization of a theorem by Kato on Navier-Stokes equations

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Wellposedness and stability results for the Navier-Stokes equations in \(\mathbb R^3\)

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Large, global solutions to the Navier-Stokes equations, slowly varying in one direction

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Global regularity for some classes of large solutions to the Navier-Stokes equations

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Flows of non-Lipschitzian vector fields and Navier-Stokes equations

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Well-posedness and ill-posedness for the 3D generalized Navier-Stokes equations in \(\dot{F}^{-\alpha,r}_{\frac{3}{\alpha-1}}\)

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Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations

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Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations

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Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations

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On the Navier-Stokes initial value problem. I

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The application of anisotropic Troisi inequalities to the conditional regularity for the Navier–Stokes equations

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Regularity criteria of the incompressible Navier-Stokes equations via only one entry of velocity gradient

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Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

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Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions

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Well-posedness for the Navier-Stokes equations

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Generalized Navier-Stokes equations with initial data in local \(Q\)-type spaces

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Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces

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Q5890172

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Space-time regularity of the \textit{mild} solutions to the incompressible generalized Navier-Stokes equations with small rough initial data

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Global well-posedness of the generalized incompressible Navier-Stokes equations with large initial data

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Ill-posedness for the Navier-Stokes equations in critical Besov spaces \(\dot{B}_{\infty, q}^{- 1}\)

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Generalized MHD equations.

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The generalized incompressible Navier-Stokes equations in Besov spaces

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Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces

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Weak-strong uniqueness for the generalized Navier-Stokes equations

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Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces

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Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near \(\mathrm{BMO}^{-1}\)

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Well-posedness for fractional Navier-Stokes equations in the largest critical spaces \(\dot B_{\infty ,\infty}^{ -(2\beta - 1)} (\mathbb R^n)\)

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Global solutions for the 3-D incompressible nonhomogeneous MHD equations

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Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity

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A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces

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Temporal decay for the generalized Navier-Stokes equations

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Asymptotic Stability for the 3D Navier–Stokes Equations

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A new regularity criterion for weak solutions to the Navier-Stokes equations

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On the regularity of the solutions of the Navier–Stokes equations via one velocity component

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Identifiers

zbMATH Open document ID

1476.35183

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Mathematics Subject Classification ID

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10.1007/S40840-020-01051-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2045246