3 papers
math.AP2026
Local well-posedness for hyperbolic systems of equations with fractional dissipation
Felipe Angeles
We establish a local well-posedness theory for a class of hyperbolic quasilinear evolution systems with fractional dissipation and commutators of the fractional Laplacian …
math.AP2024
On the equations of compressible fluid dynamics with Cattaneo-type extensions for the heat flux: Symmetrizability and relaxation structure
Felipe Angeles
The aim of this work is twofold. From a mathematical point of view, we show the existence of a hyperbolic system of equations that is not symmetrizable in the sense of Friedrichs.…
physics.flu-dyn2021
Non-hyperbolicity of the inviscid Cattaneo-Christov system for compressible fluid flow in several space dimensions
Felipe Angeles
We consider the coupling between the equations of motion of a compressible fluid in two and three space dimensions with Christov's equation for the heat flux. Christov's equation i…