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Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems with One Weakly Linearly Degenerate Characteristic 被引量:2

Global Classical Solutions to Partially Dissipative Quasilinear Hyperbolic Systems with One Weakly Linearly Degenerate Characteristic
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摘要 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. 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 H2 classical solution to the Cauchy problem with small initial data is obtained.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第3期333-350,共18页 数学年刊(B辑英文版)
基金 supported by the Fudan University Creative Student Cultivation Program in Key Disciplinary Areas (No. EHH1411208)
关键词 拟线性双曲系统 线性退化特征 整体经典解 耗散 弱线性退化 古典解 柯西 Global classical solution, Quasilinear hyperbolic system, Weak lineardegeneracy, Partial dissipation
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