Model order reduction through the POD-Galerkin method can lead to dramatic gains in terms of computational efficiency solving physical problems. However, applicability non linear high-dimensional dynamical systems such as Navier–Stokes equations has been shown be limited, producing inaccurate and sometimes unstable models. This paper proposes a deep learning based closure modeling approach for ...

We introduce (ℓ-)bimonoids as ordered algebras consisting of two compatible monoidal structures on a partially (lattice-ordered) set. Bimonoids form an appropriate framework for the study general notion complementation, which subsumes both Boolean complements in bounded distributive lattices and multiplicative inverses monoids. The central question paper is whether how bimonoids can be embedded...