The global solutions of axisymmetric Navier-Stokes equations with anisotropic initial data
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Publication:2279196
DOI10.1007/s00033-019-1212-1zbMath1431.35102OpenAlexW2988855426WikidataQ126853979 ScholiaQ126853979MaRDI QIDQ2279196
Hui Chen, Daoyuan Fang, Ting Zhang
Publication date: 12 December 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-019-1212-1
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Axially symmetric solutions to PDEs (35B07)
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Cites Work
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- Global axisymmetric solutions of three dimensional inhomogeneous incompressible Navier-Stokes system with nonzero swirl
- Regularity of 3D axisymmetric Navier-Stokes equations
- Liouville theorems for the Navier-Stokes equations and applications
- A Liouville theorem for the axially-symmetric Navier-Stokes equations
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations
- Regularity criterion to the axially symmetric Navier-Stokes equations
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Backward uniqueness for parabolic equations
- On the regularity of the axisymmetric solutions of the Navier-Stokes equations
- On axially symmetric flows in \(\mathbb{R}^3\)
- Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
- Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation
- Criticality of the axially symmetric Navier-Stokes equations
- Un teorema di unicita per le equazioni di Navier-Stokes
- The initial value problem for the Navier-Stokes equations with data in L\(^p\)
- On interior regularity criteria for weak solutions of the Navier-Stokes equations
- Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
- Remarks on regularity criteria for axially symmetric weak solutions to the Navier-Stokes equations
- Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations
- Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
- On partial regularity results for the navier-stokes equations
- Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier–Stokes Equation
- Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
- Dynamic stability of the three‐dimensional axisymmetric Navier‐Stokes equations with swirl
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
