2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184579We investigate the effects of given pressure gradients on hydrodynamic flow equations. We obtain results in terms of implicit solutions and also in the framework of an extra-dimensional formalism involving the diffusion/Schrodinger equation.Examples involving shocks and references addedMathematical PhysicsHigh Energy Physics - TheoryAnalysis of PDEsQuantum Physics35Q35; 76D99text