Stability of Navier-Stokes system with singular external force in Fourier-Herz space
DOI10.1007/s10114-023-1617-9zbMath1525.35195OpenAlexW4319163425MaRDI QIDQ6073873
Dezai Min, Gang Wu, Qing Kai Wang, Zhuoya Yao
Publication date: 18 September 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-023-1617-9
stabilityLittlewood-Paley theory3D Navier-Stokes equationsFourier-Herz spacessingular external force
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Time-dependent singularities in the Navier-Stokes system
- Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- 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
- Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I: One singularity
- Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II: Classification of axisymmetric no-swirl solutions
- Asymptotic stability of homogeneous solutions of incompressible stationary Navier-Stokes equations
- Stability of singular solutions to the Navier-Stokes system
- On Landau's solutions 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
- Singularities of certain finite energy solutions to the Navier-Stokes system
- Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III: Two singularities
- The well-posedness of the incompressible magnetohydrodynamic equations in the framework of Fourier-Herz space
- On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations
- Existence and uniqueness of solutions for Navier-Stokes equations with hyper-dissipation in a large space
- Fourier Analysis and Nonlinear Partial Differential Equations
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