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- Yuri Leonidovich Trakhinin, “О локальной корректности задач с характеристическими свободными границами для гиперболических систем законов сохранения”, Успехи математических наук, 79, № 2(476), 2024, 145

- Alessandro Morando, Paolo Secchi, Yuri Trakhinin, Paola Trebeschi, Difan Yuan, “Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem”, Arch Rational Mech Anal, 248, № 4, 2024, 56

- Yu. Trakhinin, “On Well-posedness of the Two-dimensional MHD–Maxwell Free Interface Problem”, Lobachevskii J Math, 45, № 4, 2024, 1511

- Yuri Leonidovich Trakhinin, “On local well-posedness of problems with characteristic free boundary for hyperbolic systems of conservation laws”, Russian Math. Surveys, 79, № 2, 2024, 325

- Yuri Trakhinin, “Stabilizing effect of surface tension for the linearized MHD–Maxwell free interface problem”, Journal of Differential Equations, 427, 2025, 143

- Sicheng Liu, Zhouping Xin, “On the free boundary problems for the ideal incompressible MHD equations”, Calc. Var., 64, № 3, 2025, 82
