31 citations · 44 across the 8 of their papers we have counts for
9 papers
Towards solving General Relativity with Physics-Informed Neural Networks
Juan A. Carretero, Jorge F. Urbán, Fernando Abalos +4
Physics-Informed Neural Networks (PINNs) are a machine-learning framework for approximating solutions to systems of partial differential equations by constraining neural networks t…
Higher-derivative gravitational effective field theories are generically weakly hyperbolic
Farid Thaalba, Fernando Abalos, Miguel Bezares
We analyse the initial-value problem of metric higher-derivative effective theories of gravity. We show that any such theory whose characteristic velocities are independent of deri…
A strongly hyperbolic viscous relativistic hydrodynamics theory with first-order charge current
Federico Schianchi, Fernando Abalos
We extend the first order dissipative relativistic hydrodynamics model of Bemfica-Disconzi-Noronha- Kovtun (BDNK) in order to include the charge number current in full first order…
Strong Hyperbolicity of Second-Order PDEs via Matrix Pencils
Fernando Abalos, David Hilditch
We introduce a definition of strong hyperbolicity for second order partial differential equations using second order pencils. We show that this definition is equivalent to the stan…
Neutron star evolution with the Bemfica-Disconzi-Noronha-Kovtun viscous hydrodynamics framework
Harry L. H. Shum, Fernando Abalos, Yago Bea +3
The recently proposed first-order viscous relativistic hydrodynamics formulation by Bemfica, Disconzi, Noronha, and Kovtun (commonly known as the BDNK formulation) has been shown t…
Hyperbolic extensions of constrained PDEs
Fernando Abalos, Oscar Reula, David Hilditch
Systems of PDEs comprised of a combination of constraints and evolution equations are ubiquitous in physics. For both theoretical and practical reasons, such as numerical integrati…
On necessary and sufficient conditions for strong hyperbolicity
Fernando Abalos, Oscar Reula
In this work we study constant-coefficient first order systems of partial differential equations and give necessary and sufficient conditions for those systems to have a well posed…
A necessary condition for strong hyperbolicity of general first order systems
Fernando Abalos
We study strong hyperbolicity of first order partial differential equations for systems with differential constraints. In these cases, the number of equations is larger than the un…
Nonlinear electrodynamics as a symmetric hyperbolic system
Fernando Abalos, Federico Carrasco, Érico Goulart +1
Nonlinear theories generalizing Maxwell's electromagnetism and arising from a Lagrangian formalism have dispersion relations in which propagation planes factor into null planes cor…