Travelling wave solutions for a balance law

Corrado Mascia (1)

1 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]

We study entropy travelling wave solutions for first-order hyperbolic balance laws. Results concerning existence, regularity and asymptotic stability of such solutions are proved for convex fluxes and source terms with simple isolated zeros.

Domaines: Equations aux dérivées partielles [math.AP]

Corrado Mascia. Travelling wave solutions for a balance law. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 1997, 127 (3), pp.567-593. ⟨10.1017/S0308210500029917⟩. ⟨hal-00881867⟩