Robin Ming Chen, Feimin Huang, Dehua Wang, Difan Yuan, “Stabilization effect of elasticity on three-dimensional compressible vortex sheets”, Journal de Mathématiques Pures et Appliquées, 172, 2023, 105
Yuri Trakhinin, “On weak stability of shock waves in 2D compressible elastodynamics”, J. Hyper. Differential Equations, 19, № 01, 2022, 157
Robin Ming Chen, Feimin Huang, Dehua Wang, Difan Yuan, “On the Vortex Sheets of Compressible Flows”, Commun. Appl. Math. Comput., 5, № 3, 2023, 967
Sébastien Boyaval, “Viscoelastic flows of Maxwell fluids with conservation laws”, ESAIM: M2AN, 55, № 3, 2021, 807
Junyan Zhang, “Local Well-Posedness and Incompressible Limit of the Free-Boundary Problem in Compressible Elastodynamics”, Arch Rational Mech Anal, 244, № 3, 2022, 599
Yuri Trakhinin, “Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics”, Z. Angew. Math. Phys., 71, № 4, 2020, 118
Yusuke Ishigaki, Yoshihiro Ueda, “Stability of stationary solutions to outflow problem for compressible viscoelastic system in one dimensional half space”, MATH, 9, № 11, 2024, 33215
Artem Shafeev, Yuri Trakhinin, “Three-dimensional structural stability of shock waves in elastodynamics”, Z. Angew. Math. Phys., 76, № 5, 2025, 188
Yuri Leonidovich Trakhinin, “О существовании ударных волн в сжимаемых неогуковских упругих материалах”, Теоретическая и математическая физика, 225, № 1, 2025, 75
Yu. L. Trakhinin, “On existence of shock waves in compressible neo-Hookean elastic materials”, Theor Math Phys, 225, № 1, 2025, 1756