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Pseudospectral and spectral bounds for the Oseen vortices operator

· 2017 · math.AP · arXiv 1701.06269

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abstract

In this paper, we solve Gallay's conjecture on the spectral lower bound and pseudospecrtal bound for the linearized operator of the Navier-Stokes equation in $R^2$ around rapidly rotating Oseen vortices.

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math.AP 1

years

2019 1

verdicts

UNVERDICTED 1

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Separation of time-scales in drift-diffusion equations on $\mathbb{R}^2$

math.AP · 2019-07-09 · unverdicted · novelty 5.0

Authors establish enhanced dissipation and separation of time-scales for a radially symmetric linear drift-diffusion problem on R^2, with the fast mixing time-scale depending only on the flow near the origin for power-law cases, via hypocoercivity.

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  • Separation of time-scales in drift-diffusion equations on $\mathbb{R}^2$ math.AP · 2019-07-09 · unverdicted · none · ref 27 · internal anchor

    Authors establish enhanced dissipation and separation of time-scales for a radially symmetric linear drift-diffusion problem on R^2, with the fast mixing time-scale depending only on the flow near the origin for power-law cases, via hypocoercivity.