Accelerating diffusion by  incompressible drift on the  two-dimensional torus

Yaakoubi NEJIB

Makale detayları

Accelerating diffusion by incompressible drift on the two-dimensional torus

Yazarlar:

Yaakoubi NEJIB

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1877-1886

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745832

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper we construct an explicit sequence of divergence-free  vector fields bnbn\rm{b}_{n}  that pushes the spectral gap of the nonself-adjoint operator Abn=Δ+bn⋅∇Abn=Δ+bn⋅∇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.

Makale detayları

Accelerating diffusion by incompressible drift on the two-dimensional torus

Yazarlar: Yaakoubi NEJIB

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1877-1886

Belge Tipi: Makale

Yayın Tarihi: 7/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745832

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Yaakoubi NEJIB

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1877-1886

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745832

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098