3 papers
math.DG2026
Lipschitz regularity of harmonic map heat flows into spaces
Hui-Chun Zhang, Xi-Ping Zhu
In 1964, Eells and Sampson proved the celebrated long-time existence and convergence for the harmonic map heat flow into non-positively curved Riemannian manifolds. In 1992, Gromov…
gr-qc2025
Scalar perturbations to naked singularities of perfect fluid
Junbin Li, Xi-Ping Zhu
In this paper, we study the instability of naked singularities arising in the Einstein equations coupled with isothermal perfect fluid. We show that the spherically symmetric self-…
math.DG2025
Optimal boundary regularity of harmonic maps from -spaces to -spaces
Hui-Chun Zhang, Xi-Ping Zhu
In 1983, Schoen-Uhlenbeck \cite{SU83} established boundary regularity for energy-minimizing maps between smooth manifolds with the Dirichlet boundary condition under the assumption…