Study of a high-temperature superconductor under pressure

We consider a Ginzburg-Landau modified model for a high-temperature superconductor under pressure. We have theoretically studied the relation between the outer pressure and the temperature of the high-temperature superconductor. In a special case this relation is determined by a first-order partial differential equation. We find that the critical temperature decreases quasi-linearly with increasing pressure. In another special case, we obtain that the critical temperature increases quasi-linearly with increasing pressure.