Abstract
Abstract : This project concerns properties of wave propagation in nonlinear partial differential equations of hyperbolic and parabolic type. The analysis is motivated by applications in mechanics, notably the flow of granular materials, and the spread of thin liquid films on a solid substrate. The methods used involve numerical simulations and mathematical analysis, both of the numerical results, and of the underlying phenomena and pdes. In the case of liquid films, the analysis and numerical results are compared to experiments. For granular materials, the results are related to practical considerations of hopper design and instabilities in real flows.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call