80 citations · 391 across the 20 of their papers we have counts for
20 papers
Stability study of a model for the Klein-Gordon equation in Kerr space-time II
Horst Reinhard Beyer, Miguel Alcubierre, Miguel Megevand
The present paper is a follow-up of our previous paper that derives a slightly simplified model equation for the Klein-Gordon equation, describing the propagation of a scalar field…
Incorporating local boundary conditions into nonlocal theories
Burak Aksoylu, Horst Reinhard Beyer, Fatih Celiker
We study nonlocal equations from the area of peridynamics on bounded domains. In our companion paper, we discover that, on , the governing operator in peridynamics, w…
On a Class of Nonlocal Wave Equations from Applications
Horst Reinhard Beyer, Burak Aksoylu, Fatih Celiker
We study equations from the area of peridynamics, which is an extension of elasticity. The governing equations form a system of nonlocal wave equations. Its governing operator is f…
Nonuniqueness of Representations of Wave Equations in Lorentzian Space-Times
Horst Reinhard Beyer
This brief note wants to bring to attention that the formulation of physically reasonable initial-boundary value problems for wave equations in Lorentzian space-times is not unique…
Stability study of a model for the Klein-Gordon equation in Kerr spacetime
Horst Reinhard Beyer, Miguel Alcubierre, Miguel Megevand +1
The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the proble…
On the stability of the massive scalar field in Kerr space-time
Horst Reinhard Beyer
The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the proble…