Non-uniqueness in law for Boussinesq system forced by random noise
arXiv:2101.05411 · doi:10.1007/s00526-022-02285-6
Abstract
Non-uniqueness in law for three-dimensional Navier-Stokes equations forced by random noise was established recently in Hofmanov 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.
arXiv commentThe range of the exponent of a fractional Laplacian in the 3D case has been expanded. Some other structural changes have been made. This preprint has not undergone peer review or any post-submission improvements or corrections
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