PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Toan Nguyen, Fei Wang, Hope Shaffer, Jinchao Xu, Xiaozhe Hu.

Title:Dispersive Hydrodynamics of Viscous Fluid Conduits
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Mark Hoefer, North Carolina State University
Abstract Link:http://www4.ncsu.edu/~mahoefer/
Abstract:
Solitary waves and small amplitude dispersive radiation are important solution components of nonlinear wave problems. A dispersive shock wave (DSW) represents the combination of solitary and dispersive waves into one coherent, expanding modulated wavetrain. The generation of DSWs represents a universal mechanism to resolve hydrodynamic singularities in dispersive media. Physical manifestations include undular bores on shallow water and in the atmosphere, nonlinear diffraction patterns in optics and ultracold atoms. After a brief discussion of recent theory and observation of magnetic solitons, this talk will focus on the dispersive hydrodynamics associated with interfacial waves of viscous fluid conduits. The derivation of an interfacial wave equation, modulation theory for DSWs, and experimental observations will be presented. It will be argued that this system is particularly well-suited to the careful, laboratory study of universal dispersive hydrodynamics.

Room Reservation Information

Room Number:MB315
Date:11 / 22 / 2013
Time:03:30pm - 05:00pm