On some hyperbolic systems of temple class

Éric Canon (1)

1 ICJ - Institut Camille Jordan

The aim of this paper is the statement of a general class of Temple systems of conservation laws that includes both the chromatography/electrophoresis like systems and the 2×2 LeRoux system that we generalize to any dimension. We show that this class actually belongs to the Temple type, and compute a complete set of strict Riemann invariants in a generic situation. As the property "the integral curve of this eigenvector is a straight line"is essentially a linear algebra property, we aim to deduce the results with simple (linear algebra) hypothesis and arguments, from the structure of the jacobian matrix.

Mots clés: Nonlinear hyperbolic conservation laws; Temple systems; Rank one perturbation of matrices

Domaines: Equations aux dérivées partielles [math.AP]

Éric Canon. On some hyperbolic systems of temple class. Nonlinear Analysis: Theory, Methods and Applications, 2012, 75 (11), pp.4241. ⟨10.1016/j.na.2012.03.013⟩. ⟨hal-00865633⟩