Abstract

The solution concept is based on splitting of delta measures along regular curves in $\Bbb R^2$. Now, their product with piecewise smooth functions with discontinuities along such curves makes sense. The differentiation is defined by their mapping into the usual Radon measure space (naturally embedded into the space of Schwartz distributions).

Keywords: Systems of conservation laws, delta shocks, generalized solutions.

MSC: 35L65, 35D05, 40F10

Pages:  145$-$149     

Volume  54 ,  Issue  3$-$4 ,  2002