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- W2018871845 abstract "Some consequences of energy identity are discussed, on assumption that there exists a neighborhood of Sb of radius η where the total energy is a minimum. For fluid phase transition the neighborhood where the rest state Sb results in isolated minimum for internal energy has finite radius r that will restrict to zero as basic density ϱb approaches a critical value ϱ*. Nonlinear asymptotic stability for barotropic viscous fluids is proved by use of free work identity which enables us to provide a stronger generalized energy inequality. The stability theorem is proved in a class of regular unsteady flows which are supposed to exist. Nonlinear instability for fluid phase change with zero external forces is proved. The goal is reached assuming by absurdum that ϱ is stable in L∞ norm." @default.
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- W2018871845 date "2006-03-01" @default.
- W2018871845 modified "2023-09-29" @default.
- W2018871845 title "The role of free work identity in viscous compressible flows" @default.
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- W2018871845 doi "https://doi.org/10.1016/j.camwa.2006.03.011" @default.
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