Shock-wave structure for some nonanalytical in-velocity closures

The bimodal approach to the problem of shock structure is further investigated. The closing moments which are nonanalytical in molecular velocity, namely, 1/vz and v_τ²/vz, are used. For rigid spheres, only the asymptotic (M{→}{∞}) values of the shock thickness were found. For pseudo-Maxwellian molecules, using Bobylev's method [A. V. Bobylev, Theor. Math. Phys. 60, 820 (1984)] of the Fourier transformation of the Boltzmann equation, it was possible to reduce the problem to a one-dimensional integral and to obtain the full dependence of the thickness on the Mach number. {} 1996 The American Physical Society.