
Chapter 1 9
Systems of Linear Coupled P DEs .
Decomposition Methods
19.1 Asymmetric and Symmetric Decompositions
19.1.1 Asymmetric Decomposition. Order of Decomposition
◮ Preliminary remarks. Systems of coupled equations to be considered.
Linear systems of coupled equations arise in various fields of continuum mechanics and
physics (elasticity, thermoelasticity, porous elasticity, hydrodynamics of viscous and vis-
coelastic incompressible fluids as well as of viscous compressible barotropic fluids and
gases, electrodynamics, etc.).
For a linear system of coupled equations, splitting the system into a few simpler sub-
systems (or, best of all, reducing it ...