TY - JOUR T1 - Weak Dissipative Structure for Compressible Navier-Stokes Equations AU - Wang , Keyan JO - Communications in Mathematical Research VL - 4 SP - 375 EP - 384 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19135.html KW - compressible Navier-Stokes equation, global existence, weak dissipation, small initial data. AB -

This paper concerns the Cauchy problem for compressible Navier-Stokes equations. The weak dissipative structure is explored and a new proof for the classical solutions are shown to exist globally in time if the initial data is sufficiently small.