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  • Global energy minimizers for a diffusion-aggregation model on sphere 
    Fetecau, Razvan C; Park, Hansol; VAIDYA, VISHNU (IOP Publishing, 2026-05)
    We investigate the ground states of a free energy functional on sphere. The energy consists of an entropy and a nonlocal interaction term that are in competition with each other, as they favour spreading and aggregation, ...
  • On the Hardy-Hénon heat equation with an inverse square potential 
    BHIMANI, DIVYANG G.; Haque, Saikatul; Ikeda, Masahiro (Elsevier B.V., 2026-10)
    We study Cauchy problem for the Hardy-Hénon parabolic equation with an inverse square potential, namely,where , α > 1 and or μuα, . We establish sharp fixed time-time decay estimates for heat semigroups in weighted ...
  • Ulrich bundles on cyclic coverings of projective spaces 
    Parameswaran, A. J.; PINE, JAGADISH (Elsevier B.V., 2026-11)
    We prove the existence of Ulrich bundles on cyclic coverings of of arbitrary degree d. Given a relatively Ulrich bundle on a complete intersection subvariety, we construct a relatively Ulrich bundle on the ambient variety. ...