3 papers
math.OC2026
Optimal Control in Hilbert Complex Spaces with Finite Element Exterior Calculus
Farid Bozorgnia, Michael Holst, Anshu Kumar +3
We develop a framework for PDE-constrained optimal control on Hilbert complexes and its structure-preserving discretization by finite element exterior calculus (FEEC), with emphasi…
math.AP2025
Regularity of solutions of the Navier-Stokes-αβ equations with wall-eddy boundary conditions
Nella Rotundo, Gantumur Tsogtgerel
We establish global well-posedness and regularity for the Navier-Stokes-αβ system endowed with the wall-eddy boundary conditions proposed by Fried and Gurtin (2008). These conditio…
math.DG2021
A prescribed scalar and boundary mean curvature problem on compact manifolds with boundary
Vladmir Sicca, Gantumur Tsogtgerel
We consider the problem of finding a metric in a given conformal class with prescribed nonpositive scalar curvature and nonpositive boundary mean curvature on a compact manifold wi…