On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces

摘要

In this paper we will present an existence and uniqueness result for an entropy solution of weakly coupled systems of conservation laws on moving surfaces without boundary. The evolution of the hypersurface is prescribed. The coupling of the system is realized by a source term not depending on derivatives of the unknown function. (C) 2017 Elsevier Ltd. All rights reserved.