Can Neural Networks Formulate Shock Wave?

How we build a PINN for inviscid Burgers Equation with shock formulation

PINN on Shock Waves

Physics-informed neural networks (PINNs) are a special type of neural networks. They estimate solutions to partial differential equations by incorporating the governing physical laws of a given dataset into the learning process.

An example of such an equation is the inviscid Burgers’ equation, a prototype for conservation laws that can develop shock waves.

Image from wikipedia: Inviscid Burgers Equation in two …

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