Time–splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System
نویسندگان
چکیده
Relaxation is a phenomenon which appears in a wide variety of physical situations. In gas dynamics, it occurs when the gas isn’t in thermodynamic equilibrium. In elasticity, it is usually referred to as a fading memory mechanism. Hyperbolic conservation laws with relaxation are also served as discrete kinetic models. Relaxation approximations to scalar conservation laws can be considered for purely numerical purposes too; general references are e.g. 9,11,13,14,15,10,17,16,22,23,26,32. In 23, T.P. Liu studied the following 2×2 simple model which captures the basic features of this physical process:
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