Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption
Joseph Kraisler, Wei Li, Kui Ren, John C. Schotland, Yimin Zhong
Source abstract
Abstract. This work considers the propagation of high-frequency waves in highly scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wigner transform and multiscale analysis, we derive semilinear radiative transport models for the phase-space intensity and the diffusive limits of such transport models. As an application, we consider an inverse problem for the semilinear transport equation, where we reconstruct the absorption coefficients of the equation from a functional of its solution. We obtain a uniqueness result on the inverse problem.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.