Abstract
A general approach is developed for problems of propagation of weak discontinuities against a known background for systems of hyperbolic equations that can be represented in a variational form. A weak shock wave is considered as an approximation to a solution containing a weak discontinuity. This method is applicable to the description of various adiabatic processes in continuum mechanics in the presence of variable force fields.
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Original Russian Text © A.N. Golubyatnikov, 2018, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 300, pp. 65–75.
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Golubyatnikov, A.N. Small-Amplitude Discontinuities of Solutions to Equations of Continuum Mechanics. Proc. Steklov Inst. Math. 300, 56–67 (2018). https://doi.org/10.1134/S0081543818010042
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DOI: https://doi.org/10.1134/S0081543818010042