Linearly Degenerate Reducible Systems of Hydrodynamic Type

@article{Agafonov1998LinearlyDR,
  title={Linearly Degenerate Reducible Systems of Hydrodynamic Type},
  author={Sergey I. Agafonov},
  journal={Journal of Mathematical Analysis and Applications},
  year={1998},
  volume={222},
  pages={15-37}
}
  • S. Agafonov
  • Published 1 June 1998
  • Mathematics
  • Journal of Mathematical Analysis and Applications
Abstract We propose a complete description and classification of 3 × 3 linearly degenerate reducible systems of hydrodynamic type and show that any strictly hyperbolic system of this class can be reduced to the scalar Monge–Ampere type equation of the 3 d order. 
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13 Citations
Background Citations
6
Methods Citations
2
Results Citations
1

13 Citations

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We propose a geometric correspondence between (a) linearly degenerate systems of conservation laws with rectilinear rarefaction curves and (b) congruences of lines in projective space whose…
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Duality for systems of conservation laws
  • S. Agafonov
  • Mathematics
    Letters in Mathematical Physics
  • 2019
For one-dimensional systems of conservation laws admitting two additional conservation laws, we assign a ruled hypersurface of codimension two in projective space. We call two such systems dual if…
J un 2 00 1 Systems of conservation laws of Temple class , equations of associativity and linear congruences in P 4
We propose a geometric correspondence between (a) linearly degenerate systems of conservation laws with rectilinear rarefaction curves and (b) congruences of lines in projective space whose…
A ug 2 01 9 Duality for systems of conservation laws
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…
Flat 3-webs via semi-simple Frobenius 3-manifolds
Towards the classification of homogeneous third-order Hamiltonian operators
Let $V$ be a vector space of dimension $n+1$. We demonstrate that $n$-component third-order Hamiltonian operators of differential-geometric type are parametrised by the algebraic variety of elements…
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