3 papers
math.NA2025
Physics-Informed Neural Networks for the Relativistic Burgers Equation in the Exterior of a Schwarzschild Black Hole
Shuyang Xiang
We introduce a Physics-Informed Neural Networks(PINN) to solve a relativistic Burgers equation in the exterior domain of a Schwarzschild black hole. Our main contribution is a PINN…
math.NA2019
Boundary integral equations for isotropic linear elasticity
Benjamin Stamm, Shuyang Xiang
This articles first investigates boundary integral operators for the three-dimensional isotropic linear elasticity of a biphasic model with piecewise constant Lamé coefficients in…
math.AP2019
Existence theory for well-balanced Euler model
Shuyang Xiang, Yangyang Cao
We study the initial value problem for a kind of Euler equation with a source term. Our main result is the existence of a globally-in-time weak solution whose total variation is bo…