TY - JOUR
T1 - Non-uniqueness in law for the Boussinesq system forced by random noise
AU - Yamazaki, Kazuo
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/10
Y1 - 2022/10
N2 - Non-uniqueness in law for three-dimensional Navier-Stokes equations forced by random noise was established recently in Hofmanová et al. (2019, arXiv:1912.11841 [math.PR]). The purpose of this work is to prove non-uniqueness in law for the Boussinesq system forced by random noise. Diffusion within the equation of its temperature scalar field has a full Laplacian and the temperature scalar field can be initially smooth.
AB - Non-uniqueness in law for three-dimensional Navier-Stokes equations forced by random noise was established recently in Hofmanová et al. (2019, arXiv:1912.11841 [math.PR]). The purpose of this work is to prove non-uniqueness in law for the Boussinesq system forced by random noise. Diffusion within the equation of its temperature scalar field has a full Laplacian and the temperature scalar field can be initially smooth.
UR - http://www.scopus.com/inward/record.url?scp=85133388239&partnerID=8YFLogxK
U2 - 10.1007/s00526-022-02285-6
DO - 10.1007/s00526-022-02285-6
M3 - Article
AN - SCOPUS:85133388239
SN - 0944-2669
VL - 61
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
IS - 5
M1 - 177
ER -