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math.AP2021
Cauchy Problem for Incompressible Neo-Hookean materials
Lars Andersson, Lev Kapitanski
In this paper we consider the Cauchy problem for neo-Hookean incompressible elasticity in spatial dimension . We are here interested primarily in the low regularity case,…
math.AP2021
On the rough solutions of 3D compressible Euler equations: an alternative proof
Huali Zhang, Lars Andersson
The well-posedness of Cauchy problem of 3D compressible Euler equations is studied. By using Smith-Tataru's approach \cite{ST}, we prove the local existence, uniqueness and stabili…
gr-qc2021
On the geometry of Petrov type II spacetimes
Steffen Aksteiner, Lars Andersson, Bernardo Araneda +1
In general, geometries of Petrov type II do not admit symmetries in terms of Killing vectors or spinors. We introduce a weaker form of Killing equations which do admit solutions. I…