3 papers
math.AP2026
Eventual regularity of the volume-preserving mean curvature flow in three and two dimensions
Vedansh Arya, Seongmin Jeon, Vesa Julin
The recent work of Morini-Oronzio-Spadaro and the third author shows that, in three dimensions, a flat-flow solution of the volume-preserving mean curvature flow that converges to…
math.AP2025
Harnack inequality for degenerate fully nonlinear parabolic equations
Vedansh Arya, Vesa Julin
We consider degenerate fully nonlinear parabolic equations, which generalize the p-parabolic equation with to nondivergence form operators. We prove an intrinsic Harnack ineq…
math.DG2025
The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus
Vedansh Arya, Daniele De Gennaro, Anna Kubin
We study the asymptotic behavior of flat flow solutions to the periodic and planar two-phase Mullins-Sekerka flow and area-preserving curvature flow. We show that flat flows conver…