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Bienvenue - Laboratoire Jacques-Louis Lions




Paris Cité
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Key figures

Key figures

189 people work at LJLL

86 permanent staff

80 researchers and permanent lecturers

6 engineers, technicians and administrative staff

103 non-permanent staff

74 Phd students

15 post-doc and ATER

14 emeritus scholars and external collaborators


January 2022


GdT Thésards : N. Grubic


Einstein-Euler spacetimes with Gowdy symmetry on T^3 - Nastasia grubic

We consider the class of Gowdy-symmetric spacetimes on $T^3$ governed by the Einstein-Euler equations, where we solve the initial value problem when the initial data have solely bounded variation and the fluid variables may contain shock waves. Analyzing, both, future expanding initial data and future contracting ones, we establish the existence of a global foliation by spacetime hypersurfaces so that the time function coincides with the area of the surfaces of symmetry. Our method of proof is based on a version of the random choice scheme adapted to the Einstein
equations and the symmetry class under consideration.