TAIWANESE JOURNAL OF MATHEMATICS
Vol. 4, No. 1, pp. 105-117, March 2000
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KINETIC CONDITION AND THE GIBBS FUNCTION |
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Fumioki Asakura |
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| Abstract. |
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| We study the Cauchy problem for a 3x3-system of conservation laws describing the phase transition: ut - vx = 0, vt - \sigma(u)x = 0, (e + 1/2 v2)t - (\sigma v)x = 0. A phase boundary is said to be admissible if it satisfies the Abeyaratne-Knowles kinetic condition. We give a physical account of the kinetic condition by means of the Gibbs function. We also obtain a useful description of the entropy function using the Gibbs function. |
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Received December 9, 1999.
Communicated by P. Y. Wu.
2000 Mathematics Subject Classification: 35L65, 35L67, 35L45.
Key words and phrases:
Hyperbolic system, conservation law, phase boundary, entropy.