69 citations · 258 across the 25 of their papers we have counts for
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math.AP2021★ 9 cited
Nonlinear Stability of MHD Contact Discontinuities with Surface Tension
Yuri Trakhinin, Tao Wang
We consider the motion of two inviscid, compressible, and electrically conducting fluids separated by an interface across which there is no fluid flow in the presence of surface te…
math.AP2021★ 16 cited
Well-Posedness for the Free-Boundary Ideal Compressible Magnetohydrodynamic Equations with Surface Tension
Yuri Trakhinin, Tao Wang
We establish the local existence and uniqueness of solutions to the free-boundary ideal compressible magnetohydrodynamic equations with surface tension in three spatial dimensions…
math.AP2021
On weak stability of shock waves in 2D compressible elastodynamics
Yuri Trakhinin
By using an equivalent form of the uniform Lopatinski condition for 1-shocks, we prove that the stability condition found by the energy method in [A. Morando, Y. Trakhinin, P. Treb…