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Seminars in Analysis and Applications

The seminar takes place on Tuesdays at 16:00–17:00 in the EWI Building 36. The rooms are announced in the schedule below. The audience consists of staff members and PhD and MSc students with diverse backgrounds in, for example, functional analysis, harmonic analysis, operator theory, representation theory and stochastic partial differential equations.

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Meer info over webcal.

26 november 2024 12:30 t/m 13:45

[AN] Michael Kniely: Thermodynamically Correct Models for Electro-Energy-Reaction-Diffusion Systems

We introduce a thermodynamically consistent framework for reaction-diffusion systems modeling the evolution of a finite number of charged species. This approach covers, in particular, a large class of inorganic semiconductor-type models. Here, thermodynamical consistency refers to charge and energy conservation and the production of entropy. This is achieved by formulating the model as a gradient flow system in Onsager form (for the concentrations and the internal energy) coupled to Poisson's equation (for the electrostatic potential).

First, we will focus on the structure of the Onsager operator and its relation to the electrostatic potential. Similarities and differences to other temperature-dependent semiconductor-type models shall be discussed as well. Another aspect is the well-posedness of the corresponding equilibrium problem. By resorting to the Lagrange formalism, one can rewrite this entropy maximization problem under the constraints of charge and energy conservation as a convex minimization problem. We will see that this problem admits a unique solution, hence, a unique thermodynamic equilibrium exists. This project is joint work with Katharina Hopf and Alexander Mielke.

03 december 2024 16:00 t/m 17:00

[AN] Francesca Arici: TBA

TBA

10 december 2024 16:00 t/m 17:00

[AN] Pascal Auscher

TBA

17 december 2024 16:00 t/m 17:00

[AN] Jan van Neerven: Time

TBA

07 januari 2025 16:00 t/m 17:00

[AN] Tobias Werner: TBA

TBA

21 januari 2025 16:00 t/m 17:00

[AN] Esmee Theewis

TBA

11 februari 2025 16:00 t/m 17:00

[AN] Mark van den Bosch: TBA

TBA

04 maart 2025 16:00 t/m 17:00

[AN] Gabriele Brüll: TBA

TBA

11 maart 2025 16:00 t/m 17:00

[AN] Yuming Zhao

24 maart 2025 16:00 t/m 17:00

[AN] Cyril Houdayer

Organizers

S.E. Zegers

E. Lorist

Seminar Archives