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.
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
