Abstract
We prove a general existence theorem for the 'viscous profile problem' for singular shocks associated with the weak solutions of some pairs of conservation laws. The structure obtained approximately satisfies the regularized system (identity viscosity matrix) in the space of measures. Several features of the work of Keyfitz and Kranzer for a model problem of this type are recovered.
Original language | English |
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Pages (from-to) | 705-725 |
Number of pages | 21 |
Journal | Nonlinearity |
Volume | 15 |
Issue number | 3 |
DOIs | |
State | Published - May 2002 |