Beijing-Novosibirsk seminar on geometry and mathematical physics——Non-diagonalisable Hydrodynamic Type Systems, Integrable by Tsarev's Generalised Hodograph Method
报告人：Maxim Pavlov
时间：2021-10-21 17:00
地点：online
Abstract: We present a wide class of non-diagonalisable hydrodynamic type systems, which can be integrated by Tsarev' s generalised hodograph method. This class of hydrodynamic type systems contains Jordan blocks 2x2 only. The Haantjes tensor has vanished. This means such 2N component hydrodynamic type systems possess N Riemann invariants and N double eigenvalues only.
First multi-component example was extracted from El's nonlocal kinetic equation, describing dense soliton gas. All conservation laws and commuting flows were found. A general solution is constructed.
To Join Zoom Meeting:
https://zoom.us/j/89009721898?pwd=T0Z4RG9hc3pjcHNvSFJUVklWazBydz09
Meeting ID: 890 0972 1898
Password: 068635
