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math.AP2025
Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity
Tej-eddine Ghoul, Jie Liu, Nader Masmoudi
We investigate the blow-up dynamics of smooth solutions to the one-dimensional wave equation with a quadratic spatial derivative nonlinearity, motivated by its applications in Effe…
math.AP2025
Waiting Time Solutions in gas dynamics
Juhi Jang, Jiaqi Liu, Nader Masmoudi
In this article, we construct a continuum family of self-similar waiting time solutions for the one-dimensional compressible Euler equations for the adiabatic exponent $\ga\in(1,3)…