Abstract
For a kind of partially dissipative quasilinear hyperbolic systems without Shizuta-Kawashima condition, in which all the characteristics, except a weakly linearly degenerate one, are involved in the dissipation, the global existence of H 2 classical solution to the Cauchy problem with small initial data is obtained.
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Project supported by the Fudan University Creative Student Cultivation Program in Key Disciplinary Areas (No. EHH1411208).
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Qu, P., Liu, C. Global classical solutions to partially dissipative quasilinear hyperbolic systems with one weakly linearly degenerate characteristic. Chin. Ann. Math. Ser. B 33, 333–350 (2012). https://doi.org/10.1007/s11401-012-0715-2
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DOI: https://doi.org/10.1007/s11401-012-0715-2