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<p>In this paper, we study an initial-boundary value problem for one-dimensional equations of the dynamics of a compressible viscous mixture. We prove a theorem on the existence and uniqueness of a solution to the initial-boundary value problem without any restrictions on the structure of the viscosity matrix other than the standard physical requirements of symmetry and positive definiteness.</p>

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EXISTENCE AND UNIQUENESS OF SOLUTION OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF THE DYNAMICS OF COMPRESSIBLE VISCOUS MIXTURE

  • 期刊论文

  • 发表日期：

    2026年4月10日

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  • V. Yu. Nogovishcheva,
  • D. A. Prokudin

摘要

In this paper, we study an initial-boundary value problem for one-dimensional equations of the dynamics of a compressible viscous mixture. We prove a theorem on the existence and uniqueness of a solution to the initial-boundary value problem without any restrictions on the structure of the viscosity matrix other than the standard physical requirements of symmetry and positive definiteness.