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• W2270298035 startingPage "7059" @default.
• W2270298035 abstract "This work concerns smooth solutions to the Cauchy problem for first-order partially dissipative hyperbolic systems with a small parameter. The systems are written in non-conservative form in several space variables. We introduce algebraic conditions on the structure of the systems. Under these conditions together with a partial dissipation condition and the Shizuta–Kawashima stability condition, we prove three main results around constant equilibrium states. These results are uniform global existence with respect to the parameter, global-in-time convergence of the systems to second-order nonlinear parabolic systems in a slow time variable, and global existence when the parameter is fixed. We also give examples of physical models to which the above results can be applied." @default.
• W2270298035 created "2016-06-24" @default.
• W2270298035 creator A5017426271 @default.
• W2270298035 creator A5050761327 @default.
• W2270298035 date "2016-05-01" @default.
• W2270298035 modified "2023-09-30" @default.
• W2270298035 title "Uniform global existence and parabolic limit for partially dissipative hyperbolic systems" @default.
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• W2270298035 doi "https://doi.org/10.1016/j.jde.2016.01.019" @default.
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