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- W4297645345 abstract "We are concerned with the power-law fluids driven by an additive stochastic forcing in dimension $dgeq3$. For the power index $rin(1,frac{3d+2}{d+2})$, we establish existence of infinitely many global-in-time probabilistically strong and analytically weak solutions in $L^p_{loc}([0,infty);L^2)cap C([0,infty);W^{1,max{1,r-1}}),pgeq1$ for every divergence free initial condition in $L^2cap W^{1,max{1,r-1}}$. This result in particular implies non-uniqueness in law. Our result is sharp in the three dimensional case in the sense that the solution is unique if $rgeq frac{3d+2}{d+2}$." @default.
- W4297645345 created "2022-09-30" @default.
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- W4297645345 date "2022-09-06" @default.
- W4297645345 modified "2023-09-26" @default.
- W4297645345 title "Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness" @default.
- W4297645345 doi "https://doi.org/10.48550/arxiv.2209.02531" @default.
- W4297645345 hasPublicationYear "2022" @default.
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