3 papers
math-ph2026
Dynamic Doppler Effects on Dirac Spinor Fields
Bryce M. Barclay, Alex Mahalov
We derive the dynamic Doppler effects of noninertial observer motion on Dirac spinor fields, characterizing how proper acceleration, proper jerk, observer path curvature, torsion,…
math-ph2026
The Dynamic Doppler Spectrum Induced by Nonlinear Sensor Motion: Relativistic Kinematics and 4D Frenet-Serret Spacetime Geometry
Bryce M. Barclay, Alex Mahalov
Fundamental to the analysis of nonlinear relativistic motion is the precise characterization of the induced dynamic Doppler effects. In this work, we analyze the electromagnetic si…
math.NA2024
The Reconstruction of the Space-Dependent Thermal Conductivity from Sparse Temperature Measurements
Guangting Yu, Shiwei Lan, Kookjin Lee +1
We present a novel method for reconstructing the thermal conductivity coefficient in 1D and 2D heat equations using moving sensors that dynamically traverse the domain to record sp…