We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to 2D compressible Navier-Stokes equations in a bounded domain. The initial vacuum is allowed. The proof is based on the ...We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to 2D compressible Navier-Stokes equations in a bounded domain. The initial vacuum is allowed. The proof is based on the new a priori estimate for 2D compressible Navier-Stokes equations and a logarithmic estimate for Lamé system.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 10771097, 10931007)supported by National Natural Science Foundation of China (Grant Nos. 10990013, 11071007)and SRF for ROCS,SEM
文摘We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to 2D compressible Navier-Stokes equations in a bounded domain. The initial vacuum is allowed. The proof is based on the new a priori estimate for 2D compressible Navier-Stokes equations and a logarithmic estimate for Lamé system.
