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Published 20 hours ago • verified publisher icon lululxvi

boundary condition on moving domain

Open soumyadiptapete opened this issue 3 years ago • 1 comments

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?

soumyadiptapete avatar Feb 18 '22 05:02 soumyadiptapete

  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.

lululxvi avatar Feb 24 '22 03:02 lululxvi