Formation of Singularities in One-Dimensional Hydromagnctic Flow

Two results on thc formation ofsingularit ies in solutions to the system of onc-dimcusional hydromnagnctic dynamics arc presented.In particular,it is shown that shocks form from a smooth spatial periodic flow in a finitc time if the initial amount s of cntropy and thc "magnetic field" in cach period arc smaller than thosc of sonn waves.A quantitative estimate of blow-up timc is also given.