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arXiv · 2101.05411

Non-uniqueness in law for Boussinesq system forced by random noise

Kazuo Yamazaki
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Abstract

Non-uniqueness in law for three-dimensional Navier-Stokes equations forced by random noise was established recently in Hofmanov$\acute{\mathrm{a}}$ 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.

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Kazuo Yamazaki. 2021-01-14. Non-uniqueness in law for Boussinesq system forced by random noise. https://doi.org/10.1007/s00526-022-02285-6

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