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Analyticity estimates for the Navier–Stokes equations
- Source :
- Herbst, I & Skibsted, E 2011, ' Analyticity estimates for the Navier-Stokes equations ', Advances in Mathematics, vol. 228, no. 4, pp. 1990-2033 . https://doi.org/10.1016/j.aim.2011.05.026
- Publication Year :
- 2011
- Publisher :
- Elsevier BV, 2011.
-
Abstract
- We study spatial analyticity properties of solutions of the Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equations with data in H^r, r greater or equal 1/2, and prove a stability result for the analyticity radius.<br />34 pages
- Subjects :
- Mathematics(all)
Analyticity radius
General Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
FOS: Physical sciences
Mathematical Physics (math-ph)
Radius
Stability result
Stability (probability)
76D05
Physics::Fluid Dynamics
Navier–Stokes equations
Mathematics - Analysis of PDEs
FOS: Mathematics
Stability
Mathematical Physics
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- ISSN :
- 00018708
- Volume :
- 228
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi.dedup.....9fdb3c553c785a2cbedd017416fc0d32