Special Session 65: Recent Progress in Free Boundary Problems in Fluid Flow and Fluid-Structure Interactions
Global Well-posedness of Viscous Water-Waves
Hantaek Bae
Ulsan National Institute of Science and Technology Korea
Co-Author(s): Woojae Lee, Jaeyong Shin
Abstract:
In this talk, we discuss a nonlinear model of the viscous water-waves system proposed by Dias-Dychenko-Zakharov (DDZ). We first study the linear model of DDZ. We then derive a new approximated model of DDZ and show how to find a global-in time solution.