A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws
Ημερομηνία
2015Source
Journal of Hyperbolic Differential EquationsVolume
12Issue
4Pages
787-797Google Scholar check
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Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small BV data under appropriate assumptions on the decay of the flux and the source with respect to space and time. There is neither a hypothesis about equilibrium solution nor about the dependence of the source on the state vector as previous results have assumed. © 2015 World Scientific Publishing Company.