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ON THE EXISTENCE OF LOCAL CLASSICAL SOLUTION FOR A CLASS OF ONE-DIMENSIONAL COMPRESSIBLE NON-NEWTONIAN FLUIDS 被引量：5

ON THE EXISTENCE OF LOCAL CLASSICAL SOLUTION FOR A CLASS OF ONE-DIMENSIONAL COMPRESSIBLE NON-NEWTONIAN FLUIDS
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摘要 In this paper, the aim is to establish the local existence of classical solutions for a class of compressible non-Newtonian fluids with vacuum in one-dimensional bounded intervals, under the assumption that the data satisfies a natural compatibility condition. For the results, the initial density does not need to be bounded below away from zero. In this paper, the aim is to establish the local existence of classical solutions for a class of compressible non-Newtonian fluids with vacuum in one-dimensional bounded intervals, under the assumption that the data satisfies a natural compatibility condition. For the results, the initial density does not need to be bounded below away from zero.
作者 方莉 李自来
机构地区 CNS and Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2015年第1期157-181,共25页 数学物理学报（B辑英文版）
基金 Supported by NSFC(11201371,1331005) Natural Science Foundation of Shaanxi Province(2012JQ020)
关键词 compressible non-Newtonian fluids VACUUM local classical solution compressible non-Newtonian fluids vacuum local classical solution
分类号 O175 [理学—基础数学] O373 [理学—流体力学]
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Acta Mathematica Scientia
2015年 第1期

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