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• W4220917811 abstract "We prove existence and uniqueness of global in time weak solutions for the Stokes system for compressible fluids with a general, non-monotone pressure. We construct the solution at the level of Lagrangian formulation and then define the transformation to the original Eulerian coordinates. For a nonnegative and bounded initial density, the solution is nonnegative for all t>0 as well and belongs to L∞([0,∞)×Td). A key point of our considerations is the uniqueness of such transformation. Since the velocity might not be Lipschitz continuous, we develop a method which relies on the results of Crippa & De Lellis, concerning regular Lagrangian flows. The uniqueness is obtained thanks to the application of a certain weighted flow and detail analysis based on the properties of the BMO space." @default.
• W4220917811 created "2022-04-03" @default.
• W4220917811 creator A5005188283 @default.
• W4220917811 date "2022-03-01" @default.
• W4220917811 modified "2023-10-06" @default.
• W4220917811 title "Weak solutions for the Stokes system for compressible fluids with general pressure" @default.
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• W4220917811 doi "https://doi.org/10.1016/j.jde.2021.12.011" @default.
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