2 citations · 2 across the 2 of their papers we have counts for
5 papers
Global determination for an inverse problem from the vortex dynamics
Ru-Yu Lai, Hanming Zhou
We consider the problem of reconstructing a background potential from the dynamical behavior of vortex dipole. We prove that under suitable conditions, one can uniquely reconstruct…
Travel time tomography in stationary spacetimes
Gunther Uhlmann, Yang Yang, Hanming Zhou
In this paper, we consider the boundary rigidity problem on a cylindrical domain in , , equipped with a stationary (time-invariant) Lorentzian metric. We…
Lens rigidity with partial data in the presence of a magnetic field
Hanming Zhou
In this paper we consider the lens rigidity problem with partial data for conformal metrics in the presence of a magnetic field on a compact manifold of dimension with bou…
Journey to the Center of the Earth
Gunther Uhlmann, Hanming Zhou
We survey some results on travel time tomography. The question is whether we can determine the anisotropic index of refraction of a medium by measuring the travel times of waves go…
Injectivity and stability for a generic class of generalized Radon transforms
Andrew Homan, Hanming Zhou
Let (M,g) be an analytic, compact, Riemannian manifold with boundary, of dimension n >= 2. We study a class of generalized Radon transforms, integrating over a family of hypersurfa…