2 citations · 2 across the 7 of their papers we have counts for
7 papers
The local Cauchy problem for hyperbolic systems of equations with fractional dissipation
Felipe Angeles
We study the local well-posedness of the Cauchy problem for a class of hyperbolic quasilinear evolution systems with fractional dissipation and commutators of the fractional Laplac…
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.…
Exponential decay of the solutions to nonlinear Schrödinger systems
Felipe Angeles, Mónica Clapp, Alberto Saldaña
We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply to positive or sign-changing c…
Hyperbolic systems of quasilinear equations in compressible fluid dynamics with an objective Cattaneo-type extension for the heat flux
Felipe Angeles
We consider the coupling between the equations of motion of an inviscid compressible fluid in space with an objective Cattaneo-type extension for the heat flux. These equations are…
Small order limit of fractional Dirichlet sublinear-type problems
Felipe Angeles, Alberto Saldaña
We study the asymptotic behavior of solutions to various Dirichlet sublinear-type problems involving the fractional Laplacian when the fractional parameter s tends to zero. Dependi…
The Cauchy problem for a quasilinear system of equations with coupling in the linearization
Felipe Angeles
The Cauchy problem for a quasilinear system of hyperbolic-parabolic equations is addressed with the method of linearization and fixed point. Coupling between the hyperbolic and par…
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…