Geodesic
Riemann quasi-invariants
Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 887-907

Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of Riemann quasi-invariants is introduced and their applications to several conservation laws are considered. The case of nonisentropic flow of an ideal polytropic gas is analysed in detail. Sufficient conditions for gradient catastrophes are obtained. Bibliography: 16 titles.
Keywords: conservation laws, nonisentropic ideal gas flow.
Mots-clés : Riemann invariants, Riemann quasi-invariants, gradient catastrophe 
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     author = {S. I. Pokhozhaev},
     title = {Riemann quasi-invariants},
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S. I. Pokhozhaev. Riemann quasi-invariants. Sbornik. Mathematics, Tome 202 (2011) no. 6, pp. 887-907. http://geodesic.mathdoc.fr/item/SM_2011_202_6_a4/