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Article

Обобщенный инвариант Честера – Уизема

The problem of interaction of strong and weak discontinuities is solved in the general case for a system of quasilinear hyperbolic equations with two independent variables. It is proved that the product of the left eigenvector of the system by a derivative of the vector function in a strong discontinuity direction remains constant during the interaction. Examples of using this fact in solving the problems of gasdynamics are presented.