5 papers
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…
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…
A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas
Kun Huang, Irene M. Gamba, Chi-Wang Shu
Particle-wave interaction is of fundamental interest in plasma physics, especially in the study of runaway electrons in magnetic confinement fusion. Analogous to the concept of pho…
A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation
Kun Huang, Andrés Galindo-Olarte, Rodrigo González-Hernández +1
In this work, we introduce a structure-preserving local discontinuous Galerkin (LDG) method \cite{cockburn1998local} for solving the non-local non-linear Fokker-Planck-Landau (FPL)…
Reconstruction of heat relaxation index in phonon transport equation
Peiyi Chen, Irene M. Gamba, Qin Li +1
For nano-materials, heat conductivity is an ill-defined concept. This classical concept assumes the validity of Fourier's law, which states the heat flux is proportional to tempera…