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Entropy and Partial Differential Equations

Entropy and Partial Di erential Equations Lawrence C. Evans Department of Mathematics, UC Berkeley Inspiring Quotations A good many times I have been present at gatherings of people who, by the standards of traditional culture, are thought highly educated and who have with considerable gusto been expressing their incredulity at the illiteracy of scientists. Once or twice I have been provoked and have asked the company how many of them could describe the Second Law of Thermodynamics. The response was cold: it was also negative. Yet I was asking something which is about the scienti c equivalent of: Have you read a work of Shakespeare's?

b. Conservation law form 2. Boltzmann’s equation a. A model for dilute gases b. H-Theorem c. Hand entropy B. Single conservation law 1. Integral solutions 2. Entropy solutions 3. Condition E 4. Kinetic formulation 5. A hydrodynamical limit C. Systems of conservation laws 1. Entropy conditions 2. Compressible Euler equations in one dimension a.

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