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"NASA Technical Reports Server (NTRS) 19860020949: A Minimum Entropy Principle In The Gas Dynamics Equations" and the language of the book is English.


“NASA Technical Reports Server (NTRS) 19860020949: A Minimum Entropy Principle In The Gas Dynamics Equations” Metadata:

  • Title: ➤  NASA Technical Reports Server (NTRS) 19860020949: A Minimum Entropy Principle In The Gas Dynamics Equations
  • Author: ➤  
  • Language: English

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  • Internet Archive ID: NASA_NTRS_Archive_19860020949

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Let u(x bar,t) be a weak solution of the Euler equations, governing the inviscid polytropic gas dynamics; in addition, u(x bar, 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 s(u(x,t)))/x, 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 entrophy functions connected with the conservative Euler equations.

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