Space-time regularity of the \textit{mild} solutions to the incompressible generalized Navier-Stokes equations with small rough initial data
DOI10.1016/j.nonrwa.2014.10.002zbMath1304.35496OpenAlexW2087144391MaRDI QIDQ475023
Publication date: 25 November 2014
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.10.002
regularityBesov spacetrajectoryLittlewood-Paley decompositiongeneralized Navier-Stokes equations\(Q\)-spaces
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homothetic variant of fractional Sobolev space with application to Navier-Stokes system revisited
- Existence and regularizing rate estimates of solutions to a generalized magneto-hydrodynamic system in pseudomeasure spaces
- Regularity of the Koch-Tataru solutions to Navier-Stokes system
- The generalized incompressible Navier-Stokes equations in Besov spaces
- Well-posedness and regularity of generalized Navier-Stokes equations in some critical \(Q\)-spaces
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
- Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations
- A generalization of a theorem by Kato on Navier-Stokes equations
- Generalized MHD equations.
- On the Navier-Stokes initial value problem. I
- Space-time regularity of the Koch \& Tataru solutions to Navier-Stokes equations
- Well-posedness of the Cauchy problem for the fractional power dissipative equations
- Regularity criteria for the generalized viscous MHD equations
- On analyticity rate estimates of the solutions to the Navier--Stokes equations in Bessel-potential spaces
- On the nonstationary Navier-Stokes systems
- On the local smoothness of solutions of the Navier-Stokes equations
- Well-posedness for fractional Navier-Stokes equations in the largest critical spaces Ḃ∞,∞−(2β−1)(Rn)
- Existence and regularizing rate estimates of mild solutions to a generalized magneto-hydrodynamic system in Q-spaces
- Q spaces of several real variables
- Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1
- Regularity Criteria for the Generalized MHD Equations
- Well-posedness for the Navier-Stokes equations
This page was built for publication: Space-time regularity of the \textit{mild} solutions to the incompressible generalized Navier-Stokes equations with small rough initial data
