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math.AP2026
A Convergent Front Tracking Scheme
Manas Bhatnagar, Robin Young
We present a modified Front Tracking (mFT) scheme for hyperbolic systems of conservation laws in one space dimension, in which we allow arbitrarily large nonlinear waves. We build…
math.AP2024
Time-periodic solutions of the compressible Euler equations and the Nonlinear Theory of Sound
Blake Temple, Robin Young
We prove the existence of ``pure tone'' nonlinear sound waves of all frequencies. These are smooth, time periodic, oscillatory solutions of the compressible Euler equati…