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Systems of conservation laws in the setting of the projective theory of congruences: reducible and linearly degenerate systems

✍ Scribed by S.I. Agafonov; E.V. Ferapontov

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
162 KB
Volume
17
Category
Article
ISSN
0926-2245

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✦ Synopsis

We review some of the recent results in the projective-geometric theory of systems of conservation laws with emphasis on linearly degenerate systems, reducible systems and systems of Temple's class, the equations of associativity of two-dimensional topological field theory being the main example. Our construction reveals a close relationship of these classes of systems with linear congruences and linear complexes of lines in projective space.

πŸ“œ SIMILAR VOLUMES

Hyperbolic Systems of Conservation Laws,
Hyperbolic Systems of Conservation Laws, the Weyl Equation, and Multidimensional Upwinding
✍ Sebastian Noelle πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 207 KB

All linear hyperbolic systerns of two conservation laws can be transformed to essentially one prototype system. This system can be identified with the Weyl equation of relativistic quantum mechanics. We derive a wave model for this equation and compare the resulting fluctuation splitting scheme with