Dear Pedro, One could certainly solve a discretisation of that set of equations in Firedrake. However, you first need to work out how you want to discretise the equations in space and time. Assuming that you want a finite element discretisation in space, then Firedrake can probably do that for you, but you need to first work out what the required discretisation is, including the appropriate finite elements for p and m and the subsequent weak form. Firedrake takes the weak form and automates the construction and solution of the resulting system. Regards, David From: firedrake-bounces@imperial.ac.uk <firedrake-bounces@imperial.ac.uk> on behalf of Pedro Henrique da Silva Singue Cerqueira <pedrocerqueira@eq.ufrj.br> Date: Tuesday, 27 April 2021 at 15:08 To: firedrake <firedrake@imperial.ac.uk> Subject: [firedrake] Solving PDE system Dear all, I am looking for an open source library to solve a set of PDEs as follow: [cid:image001.png@01D73B77.EE776CB0] I would like to use an 1D-mesh, specifying the mass flow (m) at inlet and fixing the pressure value (p) at the outlet. Do you think that FireDrake library could help me solve this problem? If so, any particular example to suggest to me? Thank you in advance. Best regards,