14 citations · 15 across the 6 of their papers we have counts for
7 papers
Finite-time singularity formation for angled-crested water waves
Diego Cordoba, Alberto Enciso, Nastasia Grubic
We show that the water waves system is locally wellposed in weighted Sobolev spaces which allow for interfaces with corners. No symmetry assumptions are required. These singular po…
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle
Diego Córdoba, Alberto Enciso, Nastasia Grubic
We prove that free boundary incompressible Euler equations are locally well posed in a class of solutions in which the interfaces can exhibit corners and cusps. Contrary to what ha…
Self-intersecting interfaces for stationary solutions of the two-fluid Euler equations
Diego Cordoba, Alberto Enciso, Nastasia Grubic
We prove that there are stationary solutions to the 2D incompressible free boundary Euler equations with two fluids, possibly with a small gravity constant, that feature a splash s…
On the existence of stationary splash singularities for the Euler equations
Diego Córdoba, Alberto Enciso, Nastasia Grubic
In this paper we discuss the existence of stationary incompressible fluids with splash singularities. Specifically, we show that there are stationary solutions to the Euler equatio…
On the area of the symmetry orbits in weakly regular Einstein-Euler spacetimes with Gowdy symmetry
Nastasia Grubic, Philippe G. LeFloch
This paper establishes novel bounds for Gowdy-symmetric Einstein-Euler spacetimes and completes the analysis, initiated by LeFloch and Rendall, of the global areal foliation for th…
The equations of elastostatics in a Riemannian manifold
Nastasia Grubic, Philippe G. LeFloch, Cristinel Mardare
To begin with, we identify the equations of elastostatics in a Riemannian manifold, which generalize those of classical elasticity in the three-dimensional Euclidean space. Our app…