Hello, I am working to construct a coupled model to solve a non-linear PDEs, as a part of my system I have the following weak formulation, I shown it step by step, can someone verify if I did the correct transformation? I really appreciate it.
What are the boundary conditions? It appears to me that you are integrating by parts on the second to last term in the fourth line but you didn't include a boundary term. You are missing a negative as well. You will have to integrate by parts on the second term on the last line. I hope that helps.
