3 papers
math.NA2026
DTPFI: A stable algorithm for recovering nonlinear energy potentials in phase field systems
Tianhao Ni, Jun Lai
This work proposes a Dual Time Phase Field Inversion (DTPFI) method for recovering unknown potential functions in phase field models. The reconstruction is formulated as an optimiz…
math.AP2024
Inverse problems for a quasilinear hyperbolic equation with multiple unknowns
Yan Jiang, Hongyu Liu, Tianhao Ni +1
We propose and study several inverse boundary problems associated with a quasilinear hyperbolic equation of the form on a compact…
math.AP2024
A uniqueness theory on determining the nonlinear energy potential in phase-field system
Tianhao Ni, Jun Lai
The phase-field system is a nonlinear model that has significant applications in material sciences. In this paper, we are concerned with the uniqueness of determining the nonlinear…