Abstract
A pair of ordinary differential equations is derived, giving the shock amplitude and pressure gradient at the front as functions of range, for a weak shock propagating in a homogeneous medium. These equations enable us to complete a discussion originally given by G. I. Taylor in his work on the decay of blast waves. It is shown that the equations can be solved asymptotically at large ranges to give the well‐known results for amplitude decay and pulse spreading for plane, cylindrical, and spherical week shocks. [This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under contract No. W‐7405‐Eng‐48.]
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