First the fuel is compressed then a second driver ignites a small part of the fuel while the created alpha particles in the deuteriumtritium (DT) interaction heat the rest of the target. We are interested in a fast ignition scheme by an impact collision (Murakami et al., 2006). In this case the standard ignition is caused by an induced shock wave (Eliezer and Martinez Val, 2011; Jackel et al., 1983; Betti et al. 2007). For the non-relativistic case, but large pressures, the two shock waves created at impact satisfy