3 citations · 12 across the 10 of their papers we have counts for
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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…
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…
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, space and time periodic, oscillatory solutions of the compressible Eu…
Inversion of a Non-uniform Difference Operator
Blake Temple, Robin Young
The problem of applying Nash-Moser Newton methods to obtain periodic solutions of the compressible Euler equations has led authors to identify the main obstacle, namely, how to inv…
Weak* Solutions II: The Vacuum in Lagrangian Gas Dynamics
Alexey Miroshnikov, Robin Young
We develop a framework in which to make sense of solutions containing the vacuum in Lagrangian gas dynamics. At and near vacuum, the specific volume becomes infinite and enclosed v…
Weak* solutions I: A new perspective on solutions to systems of conservation laws
Alexey Miroshnikov, Robin Young
We introduce a new notion of solution, which we call weak* solutions, for systems of conservation laws. These solutions can be used to handle singular situations that standard weak…