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Passing through a shock front moving with a speed , the physical variables , , and
change abruptly.
Since the basic equations of hydrodynamics is unchanged after chosing a system moving ,
the continuity equation

(A.26) 
gives an equation for a steady state as

(A.27) 
Considering a region containing the shock front at
which extends from
to
and integrating the above equation, we get

(A.28) 
Thus, we obtain the jump condition conserning the mass coservation as

(A.29) 
where the quatities with suffix 1 are for preshock and those with suffix 2 are for postshock.
Equation of motion for steady state

(A.30) 
gives

(A.31) 
where we used equation(A.29).
Subsections
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Kohji Tomisaka
20070708