修正的Navier－Stokes方程的空间－时间统计解

Space-time Statistical Solutions for the Modified Navier-Stokes Equations

就于１９６８年提出的描述粘性不可压缩流体的修正的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程定义空间－时间统计解并证明空间－时间统计解的存在唯一性，进而由修正Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程空间－时间统计解的存在性得到修正Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程（个别）解的存在性的证明．

Space-time statistical solutions are defined,and their existence and uniqueness are proved for the modified Navier-Stokes equations describing the viscous in compressible fluid flows proposed by ladyzhenskaya in 1968. Existence of solutions for the modified Navier-Stokes equations by existence of space-time statistical solutions is proved.