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Asymptotic stability of homogeneous solutions of incompressible stationary Navier-Stokes equations
- Source :
- Journal of Differential Equations. 297:226-245
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- It was proved by Karch and Pilarczyk that Landau solutions are asymptotically stable under any L 2 -perturbation. In our earlier work with L. Li, we have classified all ( − 1 ) -homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south and north poles. In this paper, we study the asymptotic stability of the least singular solutions among these solutions other than Landau solutions, and prove that such solutions are asymptotically stable under any L 2 -perturbation.
- Subjects :
- Unit sphere
Work (thermodynamics)
Applied Mathematics
010102 general mathematics
Mathematical analysis
Rotational symmetry
01 natural sciences
Physics::Fluid Dynamics
010101 applied mathematics
Exponential stability
Dimension (vector space)
Stability theory
Compressibility
0101 mathematics
Navier–Stokes equations
Analysis
Mathematics
Subjects
Details
- ISSN :
- 00220396
- Volume :
- 297
- Database :
- OpenAIRE
- Journal :
- Journal of Differential Equations
- Accession number :
- edsair.doi...........29723255f5386484f04c365086e6f90d