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math.PR2012
Probability of Failure in Hypersonic Engines Using Large Deviations
George Papanicolaou, Nicholas West, Tzu-Wei Yang
We consider a reduced order model of an air-breathing hypersonic engine with a time-dependent stochastic inflow that may cause the failure of the engine. The probability of failure…
math.PR2012
Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law
Josselin Garnier, George Papanicolaou, Tzu-Wei Yang
We consider an one-dimensional conservation law with random space-time forcing and calculate using large deviations the exponentially small probabilities of anomalous shock profile…