【摘 要】
：
Toward the open question proposed by P.-L.Lions in the book ["Mathematical topics in fluid mechanics",Oxford University Press,1996] concerning the propagati
【机 构】
：
ChineseAcademyofSciences,China
【出 处】
：
2016国际非线性偏微分方程与科学计算研讨会
论文部分内容阅读
Toward the open question proposed by P.-L.Lions in the book ["Mathematical topics in fluid mechanics",Oxford University Press,1996] concerning the propagation of regularities of density patch for viscous inhomogeneous flow,we first establish the global in time wellposedness of two-dimensional inhomogeneous incompressible Navier-Stokes system with initial density being of the form:η11Ω0+η21Ωc0,for any pair of positive constants(η1,η2),and for any Wk+2,p(R2)domain Ω0.
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