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- W2611853964 abstract "We consider the equations of motion for an incompressible non-Newtonian fluid in a bounded Lipschitz domain d v = − ( ∇ v ) v d t + div S d t − ∇ π d t + f d t + Φ ( v ) d W t , where v is the velocity, π the pressure and f an external volume force. We assume the common power law model S ( e ( v ))=(1+| e ( v )|) p−2 e ( v ) S ( e ( v ) ) = ( 1 + | e ( v ) | ) p − 2 e ( v ) and show the existence of weak martingale solutions provided p > 2 d + 2 d + 2 . Our approach is based on the L ∞ L ∞ -truncation and a harmonic pressure decomposition which are adapted to the stochastic setting." @default.
- W2611853964 created "2017-05-12" @default.
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- W2611853964 date "2017-01-01" @default.
- W2611853964 modified "2023-09-25" @default.
- W2611853964 title "Stochastic power law fluids" @default.
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- W2611853964 doi "https://doi.org/10.1016/b978-0-12-811044-7.00013-6" @default.
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