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Abstract <p>The paper presents a simple model of the flow of two-component, two-velocity media, which flows under the action of small scale perturbations. It is shown that in this case the specific flow regimes emerge when so called non-classical shocks propagate in the medium. The evolution of such shocks can not be described by standard or even generalized, as in pressureless media, Rankine–Hugoniot relations. This type of shocks resembles the ones of Keyfitz–Kranzer type and is studied from the analytic, including the introduction of small viscosity regularization, and numerical points of view.</p>

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An Example of a Model of Two-component, Two-velocity Media with Non-classical Shock Waves

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • E. V. Radkevich,
  • Yu. G. Rykov

摘要

Abstract

The paper presents a simple model of the flow of two-component, two-velocity media, which flows under the action of small scale perturbations. It is shown that in this case the specific flow regimes emerge when so called non-classical shocks propagate in the medium. The evolution of such shocks can not be described by standard or even generalized, as in pressureless media, Rankine–Hugoniot relations. This type of shocks resembles the ones of Keyfitz–Kranzer type and is studied from the analytic, including the introduction of small viscosity regularization, and numerical points of view.