3 papers
math.AP2026
Two global stability theorems for small-data compressible Euler solutions: Unique maximal globally hyperbolic developments with gradient-blowup & smooth global existence in the entire spacetime
Leonardo Abbrescia, Jared Speck, Dongxiao Yu
We prove a pair of complementary small-data stability theorems describing the global future and past structure of classical solutions to the isentropic, spherically symmetric …
math.AP2025
Late-time tail for a scalar quasilinear wave equation satisfying the weak null condition
Jonathan Luk, Sung-Jin Oh, Dongxiao Yu
We consider a class of scalar quasilinear wave equations in three spatial dimensions satisfying the weak null condition. For solutions arising from small, localized, smooth data, w…
math.AP2024
Timelike asymptotics for global solutions to a scalar quasilinear wave equation satisfying the weak null condition
Dongxiao Yu
We study the timelike asymptotics for global solutions to a scalar quasilinear wave equation satisfying the weak null condition. Given a global solution to the scalar wave equa…