TY - JOUR
T1 - Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity
AU - Masmoudi, Nader
AU - Said-Houari, Belkacem
AU - Zhao, Weiren
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.
PY - 2022/8
Y1 - 2022/8
N2 - In this paper, we prove the stability of the Couette flow for a 2D Navier–Stokes Boussinesq system without thermal diffusivity for the initial perturbation in Gevrey-1s, (1 / 3 < s≦ 1). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.
AB - In this paper, we prove the stability of the Couette flow for a 2D Navier–Stokes Boussinesq system without thermal diffusivity for the initial perturbation in Gevrey-1s, (1 / 3 < s≦ 1). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.
UR - http://www.scopus.com/inward/record.url?scp=85131333982&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85131333982&partnerID=8YFLogxK
U2 - 10.1007/s00205-022-01789-x
DO - 10.1007/s00205-022-01789-x
M3 - Article
AN - SCOPUS:85131333982
SN - 0003-9527
VL - 245
SP - 645
EP - 752
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 2
ER -