4 papers
Nilpotent orbits of sl(n,R) admit no Gibbs state
Jérémie Pierard de Maujouy, Guillaume Neuttiens
Gibbs states are probability distributions defined on Hamiltonian G-manifolds. They are parametrized by an open set of the Lie algebra g and arise as natural equilibrium states wit…
An -Theory for Time-Periodic Mixed-Order Partial Differential Equations under General Boundary Conditions
Guillaume Neuttiens, Jonas Sauer
We develop an -theory for time-periodic boundary value problems associated with partial differential equations and systems of mixed order. Our approach is based on anisotropic…
Nilpotent orbits of classical Lie algebras stable under negation
Guillaume Neuttiens, Jérémie Pierard de Maujouy
Gibbs states are probability distributions defined on Hamiltonian G-manifolds that are naturally parametrized by elements of the Lie algebra g. In this paper, we focus on a specifi…
The Time-Periodic Cahn-Hilliard-Gurtin System on the Half Space as a Mixed-Order System with General Boundary Conditions
Guillaume Neuttiens, Jonas Sauer
A well-posedness and maximal regularity result for the time-periodic Cahn-Hilliard-Gurtin system in the half space is proved. For this purpose, we introduce a novel class of comple…