Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1711-111
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, Y (2018). Accelerating diffusion by incompressible drift on the two-dimensional torus. Turkish Journal of Mathematics 42 (4): 1877-1886. https://doi.org/10.3906/mat-1711-111
