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math.AP2019
Embedded delta shocks
Pablo Castañeda
In 1977 Korchinski presented a new type of shock discontinuity in conservation laws. These singular solutions were coined -shocks since there is a time dependent Dirac delta inv…
math.AP2017★ 1 cited
Explicit construction of effective flux functions for Riemann solutions
Pablo Castañeda
For a family of Riemann problems for systems of conservation laws, we construct a flux function that is scalar and is capable of describing the Riemann solution of the original sys…
math.AP2015★ 1 cited
Contact Manifolds in a Hyperbolic System of Two Nonlinear Conservation Laws
Stefan Berres, Pablo Castañeda
This paper deals with a hyperbolic system of two nonlinear conservation laws, where the phase space contains two contact manifolds. The governing equations are modelling bidisperse…