具耗散一维可压流体方程组奇性形成(英文)Formation of Singularities in One- dimensional Compressible Fluids with Dissipative Term
刘法贵,秦玉明
摘要(Abstract):
考虑具耗散项 2 αu(α>0 )可压缩流体方程组 Cauchy问题经典解整体存在性与解的奇性形成 .如果熵和 α小于声波能量 ,证明了其经典解必在有限时间内产生激波 ,进一步给出了经典解的生命区间跨度估计 .
关键词(KeyWords): 奇性;可压流体;耗散;Cauchy问题
基金项目(Foundation): 河南省创新人才基金资助项目;;河南省骨干教师资助项目
作者(Author): 刘法贵,秦玉明
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