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The existence and uniqueness of self-similar solutions involving Jouguet points on the shock adiabatic curve. (English. Russian original) Zbl 0893.76093
J. Appl. Math. Mech. 60, No. 1, 61-65 (1996); translation from Prikl. Mat. Mekh. 60, No. 1, 66-71 (1996).
The authors study self-similar solutions for hyperbolic system of one-dimensional conservation laws, and explain such phenomena as nonuniqueness and the absence of continuous dependence of solutions on parameters by the presence of a “foreign” Jouguet point on the shock adiabat.
76V05 Reaction effects in flows
76L05 Shock waves and blast waves in fluid mechanics
80A25 Combustion
35L65 Hyperbolic conservation laws
Full Text: DOI
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