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- W2024361440 abstract "Let u(¯x, t) be a weak solution of the Euler equation, governing the inviscid polytropic gas dynamics; in addition, u(¯x, t) is assumed to respect the usual entropy conditions connected with the conservative Euler equations. We show that such entropy solutions of the gas dynamics equations satisfy a minimum entropy principle, namely, that the spatial minimum of their specific entropy, Ess inf¯xS(u(¯x, t)), is an increasing function of time. This principle equally applies to discrete approximations of the Euler equations such as the Godunov-type and Lax—Friedrichs schemes. Our derivation of this minimum principle makes use of the fact that there is a family of generalized entropy functions connected with the conservative Euler equations." @default.
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- W2024361440 date "1986-10-01" @default.
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- W2024361440 title "A minimum entropy principle in the gas dynamics equations" @default.
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- W2024361440 doi "https://doi.org/10.1016/0168-9274(86)90029-2" @default.
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