2 papers
math.AP2022
Solutions with single radial interface of the generalized Cahn-Hilliard flow
Chao Liu, Jun Yang
We consider the generalized parabolic Cahn-Hilliard equation $$ u_t=-Δ\left[Δu -W'(u)\right]+W''(u)\left[Δu -W'(u)\right] \qquad \forall\, (t, x)\in \widetilde{\mathbb R}\times{\ma…
math.AP2021
Localized continuation criterion, improved local existence and uniqueness for the Euler-Poisson system in a bounded domain
Chao Liu
To understand the formations of singularities of the Euler-Poisson system with vacuum, we revisit Makino's star model in this article. We first remedy, to some extent, the inconven…