University of Groningen
Modeling and analysis of non-isothermal chemical reaction networks
Wang, Li
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Publication date: 2018
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Wang, L. (2018). Modeling and analysis of non-isothermal chemical reaction networks: A port-Hamiltonian and contact geometry approach. University of Groningen.
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1. Both port-‐Hamiltonian system theory and the theory of contact systems provide an appropriate geometric framework for the modeling of non-‐isothermal chemical reaction networks. [Chapter 2-‐5]
2. For two different temperatures, the sets of equilibria of a non-‐isothermal chemical reaction network are disjoint. [Chapter 2-‐3]
3. In the modeling of non-‐isothermal chemical reaction networks, the entropy S can be used as the Hamiltonian function. [Chapter 3]
4. The two port-‐Hamiltonian approaches to the modeling of the interconnection of chemical reaction networks can be proved to be equivalent by eliminating the power port constraints. [Chapter 4]
5. The desired Hamiltonian function which generates the stable invariant Legendre submanifold can be determined through the stabilization of contact systems with structure preserving feedback. [Chapter 5]
6. 当我沉默着的时候,我觉得充实;我将开口,同时感到空虚。 When
I am silent, I feel replete; as I open my mouth to speak, I am conscious of emptiness. [Wild Grass by Lu Xun, translated by Yang Xianyi]
7. PhD Life is a miniature of life; full of smiles and tears, getting together and going away.
Propositions to accompany the thesis
Modeling and Analysis of Non-‐isothermal
Chemical Reaction Networks
A port-‐Hamiltonian and contact geometry approach
Li WANG