Paolo Secchi, “A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces”, International Journal of Differential Equations, 2012, 2012, 1
Chengchun Hao, Tao Luo, “A Priori Estimates for Free Boundary Problem of Incompressible Inviscid Magnetohydrodynamic Flows”, Arch Rational Mech Anal, 212, № 3, 2014, 805
Robin Ming Chen, Jilong Hu, Dehua Wang, Tao Wang, Difan Yuan, “Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics”, Journal of Differential Equations, 269, № 9, 2020, 6899
Ya-Guang Wang, Fang Yu, “Nonlinear geometric optics for contact discontinuities in three dimensional compressible isentropic steady flows”, Journal of Mathematical Physics, 55, № 9, 2014, 091504
Alessandro Morando, Paolo Secchi, Paola Trebeschi, “Existence of approximate current-vortex sheets near the onset of instability”, J. Hyper. Differential Equations, 14, № 02, 2017, 193
Yuri Trakhinin, “Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics”, Z. Angew. Math. Phys., 71, № 4, 2020, 118
Yu. L. Trakhinin, “LOCAL SOLVABILITY OF FREE BOUNDARY PROBLEMS IN IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH AND WITHOUT SURFACE TENSION”, J Appl Mech Tech Phy, 62, № 4, 2021, 684
Yuri Trakhinin, Tao Wang, “Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD”, SIAM J. Math. Anal., 54, № 6, 2022, 5888
Yuri Trakhinin, “Well-posedness of the free boundary problem in compressible elastodynamics”, Journal of Differential Equations, 264, № 3, 2018, 1661
Alessandro Morando, Yuri Trakhinin, Paola Trebeschi, “Well-posedness of the linearized problem for MHD contact discontinuities”, Journal of Differential Equations, 258, № 7, 2015, 2531