Production of open and hidden charm in fixed-target experiments at the LHC

We discuss the production of $D$ mesons and $J/\psi$ quarkonia in proton-nucleus collisions in the fixed-target LHCb experiment. We consider gluon-gluon fusion within $k_t$-factorization, processes initiated by intrinsic charm in the nucleon and perturbative recombination mechanism. All the mechanisms seem to be necessary to describe the LHCb experimental data. We get an upper limit for the probability of the large-$x$ $c \bar c$ Fock component in the nucleon, which is slightly less than 1 \%. The recombination mechanism allows the description of $D^0$ and $\bar D^0$ asymmetry observed by the LHCb collaboration.\\ We also discuss the production of $J/\psi$ quarkonia, including color singlet mechanisms. We include $g^* g^* \to J/\psi g$ and $g^* g^* \to \chi_c(1^+,2^+)(\to J/\psi \gamma)$ within $k_t$-factorization approach. Different unintegrated gluon distributions from the literature are used. A reasonable agreement is achieved with some distributions from the literature.