A shock-aware physics-informed neural network can reproduce smooth and discontinuous solutions of the relativistic Burgers equation in a Schwarzschild spacetime, though without quantitative validation.
LeFloch and Shuyang Xiang
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Physics-Informed Neural Networks for the Relativistic Burgers Equation in the Exterior of a Schwarzschild Black Hole
A shock-aware physics-informed neural network can reproduce smooth and discontinuous solutions of the relativistic Burgers equation in a Schwarzschild spacetime, though without quantitative validation.