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math.AP2026
Existence and Smoothing for a Nondivergence-Form Degenerate Diffusion from Plasma-Wave Theory
William Porteous, Irene M. Gamba, Kun Huang
We prove existence, positive-time smoothing, and physical admissibility of weak solutions to the degenerate parabolic Cauchy-Dirichlet problem $\partial_t u = ρ_λ(x) u \partial_x^2…
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…