Global solutions to the rotating Navier-Stokes equations with large data in the critical Fourier-Besov spaces (Q6539607)

scientific article; zbMATH DE number 7849104

Language	Label	Description	Also known as
English	Global solutions to the rotating Navier-Stokes equations with large data in the critical Fourier-Besov spaces	scientific article; zbMATH DE number 7849104

Statements

instance of

scholarly article

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title

Global solutions to the rotating Navier-Stokes equations with large data in the critical Fourier-Besov spaces (English)

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author

Mikihiro Fujii

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published in

Mathematische Nachrichten

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publication date

15 May 2024

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zbMATH Keywords

Fourier-Besov spaces

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global solutions

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large data

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rotating Navier-Stokes equations

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Global regularity of 3D rotating Navier-Stokes equations for resonant domains

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Q4705091

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3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity

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Fourier Analysis and Nonlinear Partial Differential Equations

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

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Q5470458

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

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On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces

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Uniform global well-posedness of the Navier-Stokes-Coriolis system in a new critical space

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Global Existence Results for the Navier–Stokes Equations in the Rotational Framework in Fourier–Besov Spaces

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Global well-posedness and asymptotic behavior for Navier–Stokes–Coriolis equations in homogeneous Besov spaces

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On the Navier-Stokes initial value problem. I

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Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets

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Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data

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\(L^1\) maximal regularity for the Laplacian and applications

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The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework

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Global well-posedness for Keller-Segel system in Besov type spaces

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Global solutions for the Navier-Stokes equations in the rotational framework

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Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type

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Dispersive effect of the Coriolis force and the local well-posedness for the Navier-Stokes equations in the rotational framework

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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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Strichartz estimates for the Euler equations in the rotational framework

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Dispersive estimates for the Navier-Stokes equations in the rotational framework

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On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations

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Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

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Global well-posedness for the Navier-Stokes equations with the Coriolis force in function spaces characterized by semigroups

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

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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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Identifiers

zbMATH Open document ID

1541.35343

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Mathematics Subject Classification ID

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10.1002/MANA.202300226

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Sitelinks

Mathematics(1 entry)

mardi Publication:6539607