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lululxvi / deepxde

A library for scientific machine learning and physics-informed learning
https://deepxde.readthedocs.io
GNU Lesser General Public License v2.1
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boundary condition on moving domain #528

Open soumyadiptapete opened 2 years ago

soumyadiptapete commented 2 years ago

Hello Lu,

Thanks for the excellent library. I have a few questions. Thanks in ahead for your time. 1) Is it possible to solve a coupled system of ODEs (time varying) and PDEs (time and space varying) using DeepXDE? 2) if it is, I have a question regarding setting boundary conditions on moving boundary. Example: I want to set a boundary condition u(a(t),t)=b(t), where a and b are solutions of ODEs in the system and u is a solution of PDE in the system of ODEs and PDEs Could you please provide some idea as to how to set such BCs if such BCs are possible?

lululxvi commented 2 years ago
  1. Yes
  2. It seems not straightforward to do. My intuition is that it is doable by using some tricks, but I currently don't have a good answer.