arXiv subjects

Lan Jia

Publications and source records attributed to Lan Jia.

2 recordsLinked to original sources

arXiv2021

The well-posedness and the regularity of global attractor for a couple stress fluid through porous layer with the local thermal non-equilibrium effect

In the article, we aim to investigate the well-posedness of solution and the regularity of the global attractor for the couple stress fluid in saturated porous media with the local thermal non-equilibrium effect. To be more specific, we firstly show the existence and uniqueness of global weak solution to the model by making use of the standard Galerkin method. Second, relying on verifying the uniformly compact condition required, we prove the existence of the global attractor of the model in the space where the weak solution resides. Finally, we improve the regularity of global attractor by uniformly compact condition and obtain the $C^{\infty}$ attractor for the model.

math.AP↗

arXiv2016

Global analysis of the experimental data on $χ_c$ meson hadroproduction

We carry out a global analysis of the experimental data on the $χ_c$ production cross section and the ratio $σ(χ_{c2})/σ(χ_{c1})$ at the LHC and the Tevatron. The related long-distance matrix elements (LDMEs) at both leading order (LO) and next-to-leading order (NLO) in the QCD coupling constant are renewed. We also present the transverse momentum distribution of the $χ_c$ production cross section and the ratio $σ(χ_{c2})/σ(χ_{c1})$ for several experimental conditions and find that NLO predictions agree with all sets of experimental data. By contrast, at LO, one cannot explain all the data with a unique value of the color-octet LDME. A brief analysis of the nonrelativistic QCD scale dependence of the cross sections shows that, for the conditions we are concerned with in this paper, the dependence can be almost totally absorbed into the LDME.

hep-ph↗