PDE Seminar

Non-isothermal electro-kinetics: energetic variational approach

  • 演讲者:刘沛(滨州州立大学)

  • 时间:2018-07-03 10:30-11:30

  • 地点:慧园3栋 415报告厅

Abstract: Fluid dynamics accompanies with the entropy production thus increases the local temperature, which plays an important role in charged systems such as the ion channel in biological environment and electro-diffusion in capacitors/batteries. In this talk, we propose a general framework to derive the transport equations with heat flow through the Energetic Variational Approach. According to thermodynamic first law, the total energy is conserved and we can then use the Least Action Principle to derive the conservative forces. From thermodynamic second law, the entropy increases and the dissipative forces can be computed with the Maximum Dissipation Principle. Combining these two laws, we then conclude with the force balance equations and a temperature equation. To emphasis, our method provides a self-consistent procedure to obtain dynamical equations satisfying proper energy laws and it not only works for the charge systems but also for general systems.