| The existence of current-vortex sheets in ideal compressible magnetohydrodynamics Y Trakhinin Archive for Rational Mechanics and Analysis 191 (2), 245-310, 2009 | 119 | 2009 |
| Local existence for the free boundary problem for nonrelativistic and relativistic compressible Euler equations with a vacuum boundary condition Y Trakhinin Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2009 | 100 | 2009 |
| Well-posedness of the plasma-vacuum interface problem P Secchi, Y Trakhinin Nonlinearity 27 (1), 105-169, 2014 | 80 | 2014 |
| Existence of compressible current-vortex sheets: variable coefficients linear analysis Y Trakhinin Archive for rational mechanics and analysis 177, 331-366, 2005 | 77 | 2005 |
| Stability of strong discontinuities in fluids and MHD A Blokhin, Y Trakhinin Handbook of mathematical fluid dynamics 1, 545-652, 2002 | 66 | 2002 |
| On the well-posedness of a linearized plasma–vacuum interface problem in ideal compressible MHD Y Trakhinin Journal of Differential Equations 249 (10), 2577-2599, 2010 | 50 | 2010 |
| Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD A Morando, Y Trakhinin, P Trebeschi Quarterly of Applied Mathematics 72 (3), 549-587, 2014 | 45 | 2014 |
| Well-posedness of the linearized plasma-vacuum interface problem P Secchi, Y Trakhinin Interfaces and Free Boundaries 15 (3), 323–357, 2013 | 43 | 2013 |
| Stability of incompressible current-vortex sheets A Morando, Y Trakhinin, P Trebeschi Journal of mathematical analysis and applications 347 (2), 502-520, 2008 | 34 | 2008 |
| On well-posedness of the plasma-vacuum interface problem: the case of non-elliptic interface symbol Y Trakhinin arXiv preprint arXiv:1512.01177, 2015 | 31 | 2015 |
| A complete 2D stability analysis of fast MHD shocks in an ideal gas Y Trakhinin Communications in mathematical physics 236, 65-92, 2003 | 29 | 2003 |
| Local existence of MHD contact discontinuities A Morando, Y Trakhinin, P Trebeschi Archive for Rational Mechanics and Analysis 228, 691-742, 2018 | 28 | 2018 |
| Stability of relativistic plasma-vacuum interfaces Y Trakhinin Journal of Hyperbolic Differential Equations 9 (03), 469-509, 2012 | 28 | 2012 |
| Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics Y Trakhinin, T Wang Archive for Rational Mechanics and Analysis 239 (2), 1131-1176, 2021 | 27 | 2021 |
| On the existence of incompressible current–vortex sheets: study of a linearized free boundary value problem Y Trakhinin Mathematical methods in the applied sciences 28 (8), 917-945, 2005 | 26 | 2005 |
| Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension Y Trakhinin, T Wang Mathematische Annalen 383 (1), 761-808, 2022 | 23 | 2022 |
| Stability of fast parallel MHD shock waves in polytropic gas AM Blokhin, YL Trakhinin European Journal of Mechanics-B/Fluids 18 (2), 197-211, 1999 | 23 | 1999 |
| Well-posedness of the free boundary problem in compressible elastodynamics Y Trakhinin Journal of Differential Equations 264 (3), 1661-1715, 2018 | 22 | 2018 |
| Stability of strong discontinuities in magnetohydrodynamics and electrohydrodynamics AM Blokhin, YL Trakhinin Nova Publishers, 2003 | 22 | 2003 |
| On the viscous and inviscid stability of magnetohydrodynamic shock waves H Freistühler, Y Trakhinin Physica D: Nonlinear Phenomena 237 (23), 3030-3037, 2008 | 19 | 2008 |
Vittorio RomanoFull professor of Mathematical-Physics, University of Catania, ItalyVerified email at dmi.unict.it
