Johanna Michor

FWF Stand-alone Project P 31651

Here you can find information on the research project FWF P 31651 on "Transition asymptotics of Soliton equations",
funded by the Austrian Science Fund (FWF) at the University of Vienna.
The project started in November 2018 and finished in November 2023.

Project members

• Johanna Michor (U Vienna; Project leader)
• Iryna Egorova (ILT, Kharkov)

Cooperation partners

• Gerald Teschl (U Vienna)
• Alexander Sakhnovich (U Vienna)

Publications

1. I. Egorova, M. Piorkowski, and G. Teschl, Asymptotics of KdV shock waves via the Riemann-Hilbert approach, Indiana Univ. Math. J. (to appear).
2. I. Egorova, A. Pryimak, J. Michor, and G. Teschl, Long-time asymptotics for Toda shock waves in the modulation region, J. Math. Phys. Anal. Geom. 19, 396-442 (2023). doi:10.15407/mag19.02.396
3. I. Egorova, J. Michor, and G. Teschl, Soliton asymptotics for the KdV shock problem of low regularity, in "From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko", M. Brown (ed.) et al., Oper. Theory Adv. Appl., Birkhäuser, Basel, 475-500, Oper. Theory Adv. Appl., 291, Birkhäuser, Basel, 2023. doi:10.1007/978-3-031-31139-0_17
4. I. Egorova, J. Michor, and G. Teschl, Soliton asymptotics for KdV shock waves via classical inverse scattering, J. Math. Anal. Appl. 514 (2022) 126251. doi:10.1016/j.jmaa.2022.126251
5. I. Egorova and J. Michor, How discrete spectrum and resonances influence the asymptotics of the Toda shock wave, SIGMA 17 (2021), 045, 32 pages. doi:10.3842/SIGMA.2021.045.