This paper focuses the initial boundary value problem to the compressible Oldroyd-B model in the two-dimensional space with vacuum. We establish a new blowup criterion in terms of parallel to rho parallel to L infinity tBMOx only. This work can be viewed as an extension of Lu and Zhang [Relative entropy, weak-strong uniqueness, and conditional regularity for a compressible Oldroyd-B model, SIAM J. Math. Anal., 50(2018), 557-590] where a blowup criterion involving the upper bound of the ...
