Système Euler-Poisson non linéaire. Existence globale de solutions faibles entropiques
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over . We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over .
We consider the problem of finding a couple of solutions satisfying the following conditions (4) and (5) for a couple of two uniformly elliptic partial differential operators and of order in a non regular situation.