89 citations · 335 across the 13 of their papers we have counts for
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Variational Onsager Neural Networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium PDEs
Shenglin Huang, Zequn He, Bryan Chem +1
We propose a thermodynamics-based learning strategy for non-equilibrium evolution equations based on Onsager's variational principle, which allows to write such PDEs in terms of tw…
Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: Thermodynamic interpretation and simulation
Matthias Klar, Karsten Matthies, Celia Reina +1
A class of fast-slow Hamiltonian systems with potential describing the interaction of non-ergodic fast and slow degrees of freedom is studied. The parameter $\varep…
How to find the evolution operator of dissipative PDEs from particle fluctuations?
Xiaoguai Li, Nicolas Dirr, Peter Embacher +2
Dissipative processes abound in most areas of sciences and can often be abstractly written as , which is a gradient flow of the entropy . Although…
Entropy production and the geometry of dissipative evolution equations
Celia Reina, Johannes Zimmer
Purely dissipative evolution equations are often cast as gradient flow structures, , where the variable of interest evolv…