Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces

By Dongyi Wei, Zhifei Zhang, Weiren Zhao. 2015

145 citations recorded by the source corpus.

In this paper, we prove the decay estimates of the velocity and H1 scattering for the two‐dimensional linearized Euler equations around a class of monotone shear flow in a finite channel. Our result is consistent with the decay rate predicted by Case in 1960. © 2016 Wiley Periodicals, Inc.

Subfields: Applied Mathematics, Computational Mechanics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2a110d448b15b66732e12c774e24033c4b84246e

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In Applied Mathematics

1. C. Zeng
2. Zhiwu Lin
3. Thomas Alazard

In Computational Mechanics

1. C. Zeng
2. Zhiwu Lin

In Mathematical Physics

1. C. Zeng
2. Zhiwu Lin

Citations in the corpus

• Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs (2017, background): “Recently, for monotone and certain symmetric shear flows, more explicit linear decay estimates of the velocity were obtained in [77, 74, 75] for more regular initial data (e.”