Duality for systems of conservation laws
| Autor: | Agafonov, Sergey I. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Lett. Math. Phys. 2019 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11005-019-01253-0 |
| Popis: | For one-dimensional systems of conservation laws admitting two additional conservation laws we assign a ruled surface of codimension two in projective space. We call two such systems dual if the corresponding ruled surfaces are dual. We show that a Hamiltonian system is autodual, its ruled surface sits in some quadric, and the generators of this ruled surface form a Legendre submanifold for the contact structure on Fano variety of this quadric. We also give a complete geometric description of 3-component nondiagonalizable systems of Temple class: such systems admit two additional conservation laws, they are dual to systems with constant characteristic speeds, constructed via maximal rank 3-webs of curves in space. Comment: are welcome |
| Databáze: | arXiv |
| Externí odkaz: |
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