Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities
Evolution of Nonlinear Reduced-Order Solutions for PDEs with Conserved Quantities
Reduced-order models of time-dependent partial differential equations (PDEs) where the solution is assumed as a linear combination of prescribed modes are rooted in a well-developed theory. However, more general models where the reduced solutions depend nonlinearly on time varying parameters have thus far been derived in an ad hoc manner. …