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Turkish Journal of Mathematics

Authors

YAAKOUBI NEJIB

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

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