7 citations · 13 across the 11 of their papers we have counts for
11 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.
Wave map null form estimates via Peter-Weyl theory
Grigalius Taujanskas
We study spacetime estimates for the wave map null form on . By using the Lie group structure of and Peter-Weyl theory, combine…
Controlled regularity at future null infinity from past asymptotic initial data: massless fields
Grigalius Taujanskas, Juan A. Valiente Kroon
We study the relationship between asymptotic characteristic initial data at past null infinity and the regularity of solutions at future null infinity for the massless linear spin-…
Conformal Scattering of Maxwell Potentials
Jean-Philippe Nicolas, Grigalius Taujanskas
We construct a complete conformal scattering theory for finite energy Maxwell potentials on a class of curved, asymptotically flat spacetimes with prescribed smoothness of null inf…
Large data decay of Yang-Mills-Higgs fields on Minkowski and de Sitter spacetimes
Grigalius Taujanskas
We extend Eardley and Moncrief's estimates for the conformally invariant Yang-Mills-Higgs equations to the Einstein cylinder. Our method is to first work on Minkowski sp…
Conformal scattering of the Maxwell-scalar field system on de Sitter space
Grigalius Taujanskas
We prove small data energy estimates of all orders of differentiability between past null infinity and future null infinity of de Sitter space for the conformally invariant Maxwell…