2020/01/06 by Caterina Vâlcu, Vâlcu, Caterina
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
paper · doi:10.48550/arxiv.2001.01586
openalex publication_date 2020/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The conformal method in general relativity aims to successfully parametrise the set of all initial data associated with globally hyperbolic spacetimes. One such mapping was suggested by David Maxwell. I verify that the solutions of the corresponding conformal system are stable, in the sense that they present a priori bounds under perturbations of the system's coefficients. This result holds in dimensions 3≤ n≤ 5, when the metric is conformally flat, the drift is small. A scalar field with suitably high potential is considered in this case.