47 citations · 317 across the 48 of their papers we have counts for
8 papers · 1 filter
Multiscale convergence of the inverse problem for chemotaxis in the Bayesian setting
Kathrin Hellmuth, Christian Klingenberg, Qin Li +1
Chemotaxis describes the movement of an organism, such as single or multi-cellular organisms and bacteria, in response to a chemical stimulus. Two widely used models to describe th…
Local Well-posedness of Vlasov-Poisson-Boltzmann Equation with Generalized Diffuse Boundary Condition
Hongxu Chen, Chanwoo Kim, Qin Li
The Vlasov-Poisson-Boltzmann equation is a classical equation governing the dynamics of charged particles with the electric force being self-imposed. We consider the system in a co…
Reconstruction of the emission coefficient in the nonlinear radiative transfer equation
Christian Klingenberg, Ru-Yu Lai, Qin Li
In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled with a heat equation in a nonscattering medium in , . Th…
On diffusive scaling in acousto-optic imaging
Francis J. Chung, Ru-Yu Lai, Qin Li
Acousto-optic imaging (AOI) is a hybrid imaging process. By perturbing the to-be-reconstructed tissues with acoustic waves, one introduces the interaction between the acoustic and…
Parameter Reconstruction for general transport equation
Ru-Yu Lai, Qin Li
We consider the inverse problem for the general transport equation with external field, source term and absorption coefficient. We show that the source and the absorption coefficie…
Inverse problems for the stationary transport equation in the diffusion scaling
Ru-Yu Lai, Qin Li, Gunther Uhlmann
We consider the inverse problem of reconstructing the optical parameters of the radiative transfer equation (RTE) from boundary measurements in the diffusion limit. In the diffusiv…
Validity and regularization of classical half-space equations
Qin Li, Jianfeng Lu, Weiran Sun
Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the cor…
A convergent method for linear half-space kinetic equations
Qin Li, Jianfeng Lu, Weiran Sun
We give a unified proof for the well-posedness of a class of linear half-space equations with general incoming data and construct a Galerkin method to numerically resolve this type…