Relaxation approximation of Friedrich's systems under convex constraints

Jean-François Babadjian (1) , Clément Mifsud (1) , Nicolas Seguin (1, 2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 ANGE - Numerical Analysis, Geophysics and Ecology

This paper is devoted to present an approximation of a Cauchy problem for Friedrichs' systems under convex constraints. It is proved the strong convergence in L^2_{loc} of a parabolic-relaxed approximation towards the unique constrained solution.

Domaines: Equations aux dérivées partielles [math.AP]

Jean-François Babadjian, Clément Mifsud, Nicolas Seguin. Relaxation approximation of Friedrich's systems under convex constraints. Networks and Heterogeneous Media, 2016, 11 (2), pp. 223 - 237. ⟨10.3934/nhm.2016.11.223⟩. ⟨hal-01157484⟩