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- W1999143131 abstract "We investigate higher order entropies for compressible fluid models and related a priori estimates. Higher order entropies are kinetic entropy estimators suggested by Enskog expansion of Boltzmann entropy. These quantities are quadratic in the density ρ, velocity v, and temperature T renormalized derivatives. We investigate governing equations of higher order entropy correctors and related differential inequalities in the natural situation where the volume viscosity, the shear viscosity, and the thermal conductivity depend on temperature, essentially in the form T ϰ , as given by the kinetic theory of gases. Entropic inequalities are established when ‖ log ρ‖ BMO , [Formula: see text], ‖ log T‖ BMO , ‖h∂ x ρ/ρ ‖ L ∞ , [Formula: see text], ‖ h∂ x T/T‖ L ∞ , and [Formula: see text] are small enough, where [Formula: see text] is a weight associated with the dependence of the local mean free path on density and temperature. As an example of application, we investigate global existence of solutions when the initial values log (ρ 0 /ρ ∞ ), [Formula: see text], and log (T 0 /T ∞ ) are small enough in appropriate spaces." @default.
- W1999143131 created "2016-06-24" @default.
- W1999143131 creator A5084153097 @default.
- W1999143131 date "2009-01-01" @default.
- W1999143131 modified "2023-09-25" @default.
- W1999143131 title "HIGHER ORDER ENTROPIES FOR COMPRESSIBLE FLUID MODELS" @default.
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- W1999143131 doi "https://doi.org/10.1142/s021820250900336x" @default.
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