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20072025
most citedA vector field method for relativistic transport equations with applications

63 citations · 352 across the 21 of their papers we have counts for

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9 papers · 1 filter

math.AP2025

Null coordinates for quasi-periodic -dimensional wave operators on the circle with applications to reducibility

Athanasios Chatzikaleas, Jacques Smulevici

Given any wave operator with principle part , where …

math.AP2023

Time periodic solutions and Nekhoroshev stability to non-linear massive Klein-Gordon equations in Anti-de Sitter

Athanasios Chatzikaleas, Jacques Smulevici

We prove the existence of time-periodic solutions to non-linear massive Klein-Gordon equations in Anti-de Sitter as well as their orbital stability over exponentially long times fo…

math.AP2022★ 1 cited

Non-linear periodic waves on the Einstein cylinder

Athanasios Chatzikaleas, Jacques Smulevici

Motivated by the study of small amplitudes non-linear waves in the Anti-de-Sitter spacetime and in particular the conjectured existence of periodic in time solutions to the Einstei…

math.AP2020★ 18 cited

The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary

Grigorios Fournodavlos, Jacques Smulevici

We prove the well-posedness of the initial boundary value problem for the Einstein equations with sole boundary condition the requirement that the timelike boundary is totally geod…

math.AP2020★ 3 cited

Asymptotic Stability of Minkowski Space-Time with non-compactly supported massless Vlasov matter

Léo Bigorgne, David Fajman, Jérémie Joudioux +2

We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compa…

math.AP2019★ 2 cited

On the initial boundary value problem for the Einstein vacuum equations in the maximal gauge

Grigorios Fournodavlos, Jacques Smulevici

We consider the initial boundary value problem for the Einstein vacuum equations in the maximal gauge, or more generally, in a gauge where the mean curvature of a timelike foliatio…