The incompressible limits of viscous polytropic fluids with zero thermal conductivity coefficient

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초록

We study the singular limit of viscous polytropic fluids without thermal conductivity as the Mach number tends to zero. A uniform existence result for the Cauchy problem in R-3 is proved under the assumption that the initial data belongs uniformly to H-k (R-3) with k = 2, 3 and is well-prepared in H-1 (R-3).

키워드

incompressible limitMach numberNavier-Stokes equationsnonhomogeneous incompressible fluidsviscous polytropic fluidsMACH NUMBER LIMITNAVIER-STOKES EQUATIONSSLIGHTLY COMPRESSIBLE FLUIDSALL-TIME EXISTENCEHYPERBOLIC SYSTEMSSINGULAR LIMITSEULER EQUATIONFLOWSASYMPTOTICSMOTION
제목
The incompressible limits of viscous polytropic fluids with zero thermal conductivity coefficient
저자
Kim, HLee, J
DOI
10.1080/03605300500257560
발행일
2005
유형
Article
저널명
Communications in Partial Differential Equations
30
8
페이지
1169 ~ 1189