Volume viscosity and internal energy relaxation: Error estimates
نویسندگان
چکیده
منابع مشابه
Relaxation of Internal Temperature and Volume Viscosity
We investigate the relaxation of internal temperature and the concept of volume viscosity in nonequilibrium gas models derived from the kinetic theory. We first investigate a nonequilibrium gas model with two temperatures—translational and internal—where the volume viscosity is absent. We establish that, in a relaxation regime, the temperature difference becomes proportional to the divergence o...
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We show the discrete lip+-stability for a relaxation scheme proposed by Jin and Xin [Comm. Pure Appl. Math., 48 (1995), pp. 235–277] to approximate convex conservation laws. Equipped with the lip+-stability we obtain global error estimates in the spaces W s,p for −1 ≤ s ≤ 1/p, 1 ≤ p ≤ ∞ and pointwise error estimates for the approximate solution obtained by the relaxation scheme. The proof uses ...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2018
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2018.03.004