Turkish Journal of Mathematics
DOI
10.3906/mat-1711-111
Abstract
In this paper we construct an explicit sequence of divergence-free vector fields $\rm{b}_{n}$ that pushes the spectral gap of the nonself-adjoint operator $A_{\rm{b}_{n}}=\Delta +\rm{b}_{n}\cdot\nabla $ to infinity. The spectral gap is an indicator for the speed at which this diffusion converges toward its equilibrium, which corresponds to the uniform distribution.
Keywords
Nonself-adjoint operator, spectral gap, divergence-free vector fields, rearrangement, comparison manifold, Faber-Krahn inequality
First Page
1877
Last Page
1886
Recommended Citation
NEJIB, YAAKOUBI
(2018)
"Accelerating diffusion by incompressible drift on the two-dimensional torus,"
Turkish Journal of Mathematics: Vol. 42:
No.
4, Article 26.
https://doi.org/10.3906/mat-1711-111
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss4/26
