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Diffusion and mixing in fluid flow via the resolvent estimate
- Source :
- Science China Mathematics. 64:507-518
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- In this paper, we first present a Gearhardt-Pr\"uss type theorem with a sharp bound for m-accretive operators. Then we give two applications: (1) give a simple proof of the result proved by Constantin et al. on relaxation enhancement induced by incompressible flows; (2) show that shear flows with a class of Weierstrass functions obey logarithmically fast dissipation time-scales.<br />Comment: 12 pages
- Subjects :
- Weierstrass functions
General Mathematics
010102 general mathematics
Mathematical analysis
Dissipation
01 natural sciences
Physics::Fluid Dynamics
010101 applied mathematics
Mathematics - Analysis of PDEs
FOS: Mathematics
Fluid dynamics
Compressibility
0101 mathematics
Analysis of PDEs (math.AP)
Mathematics
Resolvent
Subjects
Details
- ISSN :
- 18691862 and 16747283
- Volume :
- 64
- Database :
- OpenAIRE
- Journal :
- Science China Mathematics
- Accession number :
- edsair.doi.dedup.....f584573a77bd449bb00a9ed5f2096764