5 papers
A globally convergent Carleman-Picard method for an inverse initial-value problem for a nonlinear diffusive coagulation-fragmentation equation coagulation-fragmentation equation
Thuy T. Le, Minh-Binh Tran, Loc H. Nguyen
We study an inverse initial-density problem for a nonlinear diffusive coagulation--fragmentation equation with known coagulation and fragmentation kernels. The objective is to reco…
The inverse initial data problem for anisotropic Navier-Stokes equations via Legendre time reduction method
Cong B. Van, Thuy T. Le, Loc H. Nguyen
We consider an inverse initial-data problem for the compressible anisotropic Navier--Stokes equations, in which the goal is to reconstruct the initial velocity field from noisy lat…
Inverse scattering without phase: Carleman convexification and phase retrieval via the Wentzel--Kramers--Brillouin approximation
Thuy T. Le, Phuong M. Nguyen, Loc H. Nguyen
This paper addresses the challenging and interesting inverse problem of reconstructing the spatially varying dielectric constant of a medium from phaseless backscattering measureme…
Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method
Thuy T. Le, Cong B. Van, Trong D. Dang +1
We study an inverse problem for the time-dependent Maxwell system in an inhomogeneous and anisotropic medium. The objective is to recover the initial electric field …
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients
Thuy T. Le, Linh V. Nguyen, Loc H. Nguyen +1
This paper aims to reconstruct the initial condition of a hyperbolic equation with an unknown damping coefficient. Our approach involves approximating the hyperbolic equation's sol…