Quyuan Lin - On the non-isothermal electrodiffusion and Nernst-Planck-Boussinesq system
Recorded 16 September 2025. Quyuan Lin of Clemson University presents "On the non-isothermal electrodiffusion and Nernst-Planck-Boussinesq system" at IPAM's Embracing Stochasticity in Electrochemical Modeling Workshop.Abstract: In this talk, I will present the Nernst-Planck-Boussinesq (NPB) system, a coupled model that combines the Nernst-Planck equations with the Boussinesq approximation to describe ionic electrodiffusion in an incompressible fluid under non-isothermal conditions. A key feature of the NPB system is the nonlinear structure of the electromigration term, which is influenced by the reciprocal of the temperature. This distinguishes the NPB system from other electrodiffusion models, such as the Nernst-Planck-Navier-Stokes system, and introduces unique mathematical challenges. I will discuss several analytical properties of the system, focusing on the global existence of weak solutions in three dimensions, as well as the long-time behavior of these solutions, including their exponential convergence to steady states.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-embracing-stochasticity-in-electrochemical-modeling/?tab=overview Receive SMS online on sms24.me
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