Seminar in the Analysis and Methods of PDE - Andrea Bertozzi

Explore the fascinating phenomenon of "tears of wine" in this seminar presented by Andrea Bertozzi from the University of California, Los Angeles. Delve into a comprehensive model for the climbing dynamics of thin films in water-ethanol mixtures, examining the interplay between Marangoni stress, gravity components, and surface tension. Discover how the lubrication limit leads to an equation similar to those describing rising films under thermal gradients. Learn to identify the signatures of undercompressive waves and observe both compressive and undercompressive waves in the tears of wine phenomenon. Gain insights into how wine tears emerge from a reverse undercompressive shock originating at the meniscus, particularly in the case of a preswirled glass.