@article{You2023, 
author = {Xiaoguang You},
title = {Vanishing viscosity limit of incompressible flow around a small obstacle: A special case},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {2611-2621},
keywords = {Navier-Stokes equations, boundary layer, Euler equations, exterior domain, vanishing viscosity limit},
url = {https://www.sciopen.com/article/10.3934/math.2023135},
doi = {10.3934/math.2023135},
abstract = {In this paper, we consider two dimensional viscous flow around a small obstacle. In [4], the authors proved that the solutions of the Navier-Stokes system around a small obstacle of size    ε converge to solutions of the Euler system in the whole space under the condition that the size of the obstacle    ε is smaller than a suitable constant    K times the kinematic viscosity    ν. We show that, if the Euler flow is antisymmetric, then this smallness condition can be removed.}
}