数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
3期
851-871
,共21页
叶嵎林%窦昌胜%酒全森
葉嵎林%竇昌勝%酒全森
협우림%두창성%주전삼
Existence and uniqueness%classical solution%compressible Navier-Stokes equa-tions%density-dependent viscosity%vacuum
In this article, we prove the local existence and uniqueness of the classical solution to the Cauchy problem of the 3-D compressible Navier-Stokes equations with large initial data and vacuum, if the shear viscosity μ is a positive constant and the bulk viscosity λ(ρ)=ρβwith β≥0. Note that the initial data can be arbitrarily large to contain vacuum states.
