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math.AP2026
Well-posedness for rough solutions of the 3D compressible Euler equations
Lars Andersson, Huali Zhang
In this paper we prove full local well-posedness for the Cauchy problem for the compressible 3D Euler equation, i.e. local existence, uniqueness, and continuous dependence on initi…
math.AP2025
Stability for linearized gravity on the Kerr spacetime
Lars Andersson, Thomas Bäckdahl, Pieter Blue +1
In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr bla…