7 papers
Controlled regularity at future null infinity from past asymptotic initial data: the wave equation
Jordan Marajh, Grigalius Taujanskas, Juan A. Valiente Kroon
We study the relationship between asymptotic characteristic initial data for the wave equation at past null infinity and the regularity of the solution at future null infinity on t…
Global finite energy solutions of the Maxwell-scalar field system on the Einstein cylinder
Jean-Philippe Nicolas, Grigalius Taujanskas
We prove the existence and uniqueness of global finite energy solutions of the Maxwell-scalar field system in Lorenz gauge on the Einstein cylinder. Our method is a combination of…
One-Dimensional Carrollian Fluids III: Global Existence and Weak Continuity in
P. Marios Petropoulos, Simon Schulz, Grigalius Taujanskas
The Carrollian fluid equations arise as the limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography commu…
One-dimensional Carrollian fluids II: blow-up criteria
Nikolaos Athanasiou, P. Marios Petropoulos, Simon Schulz +1
The Carrollian fluid equations arise from the equations for relativistic fluids in the limit as the speed of light vanishes, and have recently experienced a surge of interest in th…
One-dimensional Carrollian fluids I: Carroll-Galilei duality
Nikolaos Athanasiou, P. Marios Petropoulos, Simon Schulz +1
Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between…
Scattering of Maxwell potentials on curved spacetimes
Grigalius Taujanskas
We report on the recent construction of a scattering theory for Maxwell potentials on curved spacetimes.