Seminar talk, 11 November 2020: Difference between revisions
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| speaker = Pierandrea Vergallo | | speaker = Pierandrea Vergallo | ||
| title = Hydrodynamic-type systems and homogeneous Hamiltonian operators: a necessary condition of compatibility | | title = Hydrodynamic-type systems and homogeneous Hamiltonian operators: a necessary condition of compatibility | ||
| abstract = Using the theory of coverings, | | abstract = Using the theory of coverings, it is presented a necessary condition to write a hydrodynamic-type system in Hamiltonian formulation. Explicit conditions for first, second and third order homogeneous Hamiltonian operators are shown. In particular, an alternative proof of Tsarev's theorem about compatibility conditions for first order operators is obtained by using this method. | ||
Then, analogous conditions are presented for non local homogeneous Hamiltonian operators of first and third order. | Then, analogous conditions are presented for non local homogeneous Hamiltonian operators of first and third order. | ||
Finally, it is discussed the projective invariance for second and third order operators. | Finally, it is discussed the projective invariance for second and third order operators. | ||
The talk is based on joint work with Raffaele Vitolo {{arXiv|2007.15294}}. | |||
Language: English | Language: English | ||
Revision as of 15:31, 27 October 2020
Speaker: Pierandrea Vergallo
Title: Hydrodynamic-type systems and homogeneous Hamiltonian operators: a necessary condition of compatibility
Abstract:
Using the theory of coverings, it is presented a necessary condition to write a hydrodynamic-type system in Hamiltonian formulation. Explicit conditions for first, second and third order homogeneous Hamiltonian operators are shown. In particular, an alternative proof of Tsarev's theorem about compatibility conditions for first order operators is obtained by using this method.
Then, analogous conditions are presented for non local homogeneous Hamiltonian operators of first and third order.
Finally, it is discussed the projective invariance for second and third order operators.
The talk is based on joint work with Raffaele Vitolo arXiv:2007.15294.
Language: English