4 papers · 1 filter
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…
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…
Recovery of coefficients in semilinear transport equations
Ru-Yu Lai, Gunther Uhlmann, Hanming Zhou
We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficie…