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

- Paolo Secchi, Yuri Trakhinin, Tao Wang, “On vacuum free boundary problems in ideal compressible magnetohydrodynamics”, Bulletin of London Math Soc, 55, no. 5, 2023, 2087

- Yuri Trakhinin, “Well-posedness for moving interfaces in anisotropic plasmas”, Z. Angew. Math. Phys., 74, no. 4, 2023, 142

- 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, no. 4, 2024, 56

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

- Sinan Wang, Jianfeng Zhou, “Global well-posedness of non-resistive quantum MHD system”, Journal of Differential Equations, 436, 2025, 113255

- Yu. L. Trakhinin, “On well-posedness of the free boundary problem for ideal compressible MHD equations and Maxwell equations in vacuum”, SMFN, 71, no. 1, 2025, 176

- Yu. L. Trakhinin, “ABOUT WELL-POSEDNESS OF A FREE BOUNDARY PROBLEM FOR IDEAL COMPRESSIBLE MHD EQUATIONS AND MAXWELL EQUATIONS IN VACUUM”, J Math Sci, 2025
