4 papers
The BGK model with in-flow boundary condition: forward and inverse problems
Ru-Yu Lai, Hanming Zhou
We study the Bhatnagar-Gross-Krook (BGK) equation in a bounded domain with in-flow boundary condition. The BGK model is a simple relaxation of the Boltzmann equation through replac…
The linearized minimal surfaces problem
Haim Grebnev, Plamen Stefanov, Gunther Uhlmann +1
We characterize the kernel of the linearization of the minimal surface problem about the Euclidean metric in a bounded smooth domain , , with the…
Stable Determination of Coefficients in Nonlinear Dynamical Schrödinger Equations by Carleman Estimates
Pranav Arrepu, Hanming Zhou
We consider the inverse problem of recovering stationary coefficients in a class of dynamical Schrödinger equations with locally analytic nonlinear terms. Upon treating the well-p…
Inverse problems for time-dependent nonlinear transport equations
Ru-Yu Lai, Hanming Zhou
In this work, we investigate inverse problems of recovering the time-dependent coefficient in the nonlinear transport equation in both cases: two-dimensional Riemannian manifolds a…