1 citations · 3 across the 3 of their papers we have counts for
4 papers
A dynamical approach towards Collatz conjecture
Pablo Castañeda
The present work focuses on the study of the renowned Collatz conjecture, also known as the problem. The analysis rests on the dynamics of an iterative map in binary form, d…
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…
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…
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…