3 citations · 5 across the 6 of their papers we have counts for
6 papers
Interfaces determined by capillarity and gravity in a two-dimensional porous medium
Maria Calle, Carlota M. Cuesta, Juan J. L. Velazquez
We consider a two-dimensional model of a porous medium where circular grains are uniformly distributed in a squared container. We assume that such medium is partially filled with w…
Translating graphs by Mean curvature flow in $\M^n\times\Real$
Maria Calle, Leili Shahriyari
In this work, we study graphs in $\M^n\times\Real$ that are evolving by the mean curvature flow over a bounded domain on $\M^n$, with prescribed contact angle in the boundary. We p…
Existence of a capillary surface with prescribed contact angle in
Maria Calle, Leili Shahriyari
We study the prescribed mean curvature equation with a prescribed boundary contact angle condition in where is a Riemannian submanifold in . The main pu…
Width and flow of hypersurfaces by curvature functions
Maria Calle, Stephen J. Kleene, Joel Kramer
We give a bound on the extinction time for a compact, strictly convex hypersurface in R^{n+1} evolving by a geometric flow where the velocity is given in terms of the curvature. Th…
Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds
Maria Calle, Darren Lee
We show that there exists a metric with positive scalar curvature on S2xS1 and a sequence of embedded minimal cylinders that converges to a minimal lamination that, in a neighborho…
Bounding dimension of ambient space by density for mean curvature flow
Maria Calle
For an ancient solution of the mean curvature flow, we show that each time slice M_t is contained in an affine subspace with dimension bounded in terms of the density and the dimen…