A PROBLEM WITH INHOMOGENEOUS BOUNDARY CONDITIONS FOR EQUALIZED MAGNETIC GAS DYNAMICS
Keywords:
magnetic gas dynamics, Lagrangian coordinates, porosity of the medium, inhomogeneous boundary conditions, generalized solution, a priori estimatesAbstract
This article examines a one-dimensional initial-boundary value problem with inhomogeneous boundary conditions for the equations of magnetogas dynamics in mass Lagrangian coordinates, taking into account the porosity of the medium. Using the method of a priori estimates and the introduction of auxiliary functions, a theorem for the existence and uniqueness of a global (overall, over time) generalized solution is proved. It is established that the resulting global estimates are independent of the interval of existence of the local solution, and the sought functions of specific volume and absolute temperature are strictly positive and bounded.
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