19 citations · 50 across the 16 of their papers we have counts for
Showing 2023Show all
2 papers · 1 filter
math.AP2023
The regularity of the solutions to the Muskat equation: the degenerate regularity near the turnover points
Jia Shi
In this paper, we prove that if a solution to the Muskat problem with different densities and the same viscosity is sufficiently smooth, the solution is analytic in a region that d…
math.AP2023
Non-radial implosion for compressible Euler and Navier-Stokes in and
Gonzalo Cao-Labora, Javier Gómez-Serrano, Jia Shi +1
In this paper we construct smooth, non-radial solutions of the compressible Euler and Navier-Stokes equation that develop an imploding finite time singularity. Our construction is…