9 papers
Stability for the inverse random potential scattering problem
Tianjiao Wang, Xiang Xu, Yue Zhao
This paper is concerned with an inverse random potential problem for the Schrödinger equation. The random potential is assumed to be a generalized Gaussian random function, whose c…
A computational inverse random source problem for elastic waves
Hao Gu, Tianjiao Wang, Xiang Xu +1
This paper investigates the inverse random source problem for elastic waves in three dimensions, where the source is assumed to be driven by an additive white noise. A novel comput…
PML method for the stochastic acoustic scattering problem driven by an additive Gaussian noise
Hongxia Guo, Tianjiao Wang, Xiang Xu +1
This paper is concerned with the time-domain stochastic acoustic scattering problem driven by a spatially white additive Gaussian noise. The main contributions of the work are twof…
Inverse random source problem for Maxwell equations in an inhomogeneous medium
Tianjiao Wang, Xiang Xu, Yue Zhao
This paper concerns the inverse random source problem of the stochastic Maxwell equations driven by white noise in an inhomogeneous background medium. The well-posedness is establi…
Stability for an inverse random source problem of the biharmonic Schrodinger equation
Tianjiao Wang, Xiang Xu, Yue Zhao
In this paper, we study the inverse random source scattering problem for the biharmonic Schrodinger equation in two and three dimensions. The driven source is assumed to be a gener…
Stability for a multi-frequency inverse random source problem
Tianjiao Wang, Xiang Xu, Yue Zhao
We present stability estimates for the inverse source problem of the stochastic Helmholtz equation in two and three dimensions by either near-field or far-field data. The random so…
Time-harmonic elastic scattering by unbounded deterministic and random rough surfaces in three dimensions
Guanghui Hu, Tianjiao Wang, Xiang Xu +1
In this paper, we investigate well-posedness of time-harmonic scattering of elastic waves by unbounded rigid rough surfaces in three dimensions. The elastic scattering is caused by…
A priori bounds for elastic scattering by deterministic and random unbounded rough surfaces
Tianjiao Wang, Yiwen Lin, Xiang Xu
This paper investigates the elastic scattering by unbounded deterministic and random rough surfaces, which both are assumed to be graphs of Lipschitz continuous functions. For the…
On uniqueness of elastic scattering from a cavity
Tianjiao Wang, Yiwen Lin, Xiang Xu
The paper considers direct and inverse elastic scattering from a cavity in homogeneous medium with Dirichlet and Neumann boundary conditions. For direct scattering, existence and u…