Abstract
The development of shocks in nonlinear hyperbolic conservation laws may be regularized through either diffusion or relaxation. However, we have observed surprisingly that for some physical problems, when both of the smoothing factors – diffusion and relaxation – coexist, under appropriate asymptotic assumptions, the dispersive waves are enhanced. This phenomenon is studied asymptotically in the sense of the Chapman–Enskog expansion and demonstrated numerically.
Reference11 articles.
1. Shock Structure in a Simple Discrete Velocity Gas
2. Chapman S. & Cowling T. G. 1970 The mathematical theory of nonuniform gases 3rd edn. Cambridge University Press.
3. Chen G.-Q. Levermore C. D. & Liu T. P. 1994 Hyperbolic conservation laws with stiff relaxation terms and entropy. Communs pure appl. Math. (In the press.)
4. de Groot S. R. & Mazur P. 1984 Non-equilibrium thermodynamics. New York: Dover.
5. Hunter J. K. 1993 Asymptotic equations for nonlinear hyperbolic waves. In Surveys in applied mathematics (ed. J. B. Keller G. Papanicolaou & D. W. McLaughlin) vol. 2.
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