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math.AP2023
Diffusive Expansion For Neutron Transport Equation
Yan Guo, Lei Wu
Grazing set singularity leads to a surprising counter-example and breakdown of the classical mathematical theory for diffusive expansion of neutron transport equation…
math.AP2022
Dynamic stability for steady Prandtl solutions
Yan Guo, Yue Wang, Zhifei Zhang
By establishing an invariant set (1.11) for the Prandtl equation in Crocco transformation, we prove orbital and asymptotic stability of Blasius-like steady states against Oleinik's…
math.AP2021★ 1 cited
Naked singularities in the Einstein-Euler system
Yan Guo, Mahir Hadzic, Juhi Jang
In 1990, based on numerical and formal asymptotic analysis, Ori and Piran predicted the existence of self-similar spacetimes, called relativistic Larson-Penston solutions, that can…