Work

Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption

Year: 2023

Type: article

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.

Source: SIAM Journal on Applied Mathematics

DOI: 10.1137/22m1533505

Authors: Joseph Kraisler, Wei Li, Kui Ren, John C. Schotland, Yimin Zhong

Institutions: Columbia University, DePaul University, Yale University, Auburn University

Language: English

Topic: Radiative Heat Transfer Studies

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Simons Foundation, Air Force Office of Scientific Research