Energetic Variational Approaches: Free Interface Motion and Viscoelasticity

Applied and Computational Mathematics Seminar
Monday, March 8, 2010 - 13:00
1 hour (actually 50 minutes)
Skiles 255
Penn State/IMA
Almost all models for complex fluids can be fitted into the energetic variational framework. The advantage of the approach is the revealing/focus of the competition between the kinetic energy and the internal "elastic" energies. In this talk, I will discuss two very different engineering problems: free interface motion in Newtonian fluids and viscoelastic materials. We will illustrate the underlying connections between the problems and their distinct properties. Moreover, I will present the analytical results concerning the existence of near equilibrium solutions of these problems.