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math-ph2024
Time-harmonic waves in Korteweg and nematic-Korteweg fluids
Patrick E. Farrell, Umberto Zerbinati
We derive the Helmholtz--Korteweg equation, which models acoustic waves in Korteweg fluids. We further derive a nematic variant of the Helmholtz-Korteweg equation, which incorporat…
cs.LG2024
PETScML: Second-order solvers for training regression problems in Scientific Machine Learning
Stefano Zampini, Umberto Zerbinati, George Turkiyyah +1
In recent years, we have witnessed the emergence of scientific machine learning as a data-driven tool for the analysis, by means of deep-learning techniques, of data produced by co…