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math.AP2025
Stability of the reconstruction of the heat reflection coefficient in the phonon transport equation
Peiyi Chen, Irene M. Gamba, Qin Li +1
The reflection coefficient is an important thermal property of materials, especially at the nanoscale, and determining this property requires solving an inverse problem based on ma…
math.AP2025
Existence and Smoothing for a Nondivergence-Form Degenerate Diffusion from Plasma-Wave Theory
William Porteous, Irene M. Gamba, Kun Huang
We prove existence and positive-time smoothing of weak solutions to the degenerate parabolic Cauchy--Dirichlet problem on the…