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math.NA2025
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…
math.NA2025
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…
math.NA2025
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 …