We are thankful to be welcome on these lands in friendship. The lands we are situated on are covered by the Williams Treaties and are the traditional territory of the Mississaugas, a branch of the greater Anishinaabeg Nation, including Algonquin, Ojibway, Odawa and Pottawatomi. These lands remain home to many Indigenous nations and peoples.

We acknowledge this land out of respect for the Indigenous nations who have cared for Turtle Island, also called North America, from before the arrival of settler peoples until this day. Most importantly, we acknowledge that the history of these lands has been tainted by poor treatment and a lack of friendship with the First Nations who call them home.

This history is something we are all affected by because we are all treaty people in Canada. We all have a shared history to reflect on, and each of us is affected by this history in different ways. Our past defines our present, but if we move forward as friends and allies, then it does not have to define our future.

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September 28, 2010

Speaker: Prof. Genta Kawahara, Department of Mechanical Science and Bioengineering, Osaka University

Title: An Introduction to the Problem of Fluid Turbulence

Abstract: I will briefly explain two typical approaches to the problem of fluid turbulence, which are respectively based upon the structural and statistical descriptions of turbulence. The former has difficulty in reproducibility of chaotic evolution of turbulence structures, while the latter has difficulty obtaining a rigorous governing equation for turbulence statistics. Next I will propose a novel approach based on dynamical-system theory. In this approach turbulent flow is characterized in terms of simple invariant sets in phase space, which are represented by equilibrium and periodic solutions to the Navier-Stokes equation, the equation of fluid motion. Several invariant solutions have been found to exhibit similar statistical properties to turbulent flow. I will show reproducible dynamics of flow structures in the solutions to discuss their relevance with the appearance of universal statistical laws of turbulence.

Biography: Prof. Genta Kawahara received his PhD from Osaka University in 1994. In 2001, following assistant and associate professor positions in the Faculty of Engineering, Ehime University, he became an associate professor in the Graduate School of Engineering, Kyoto University. In 2001, he moved to the Graduate School of Engineering Science, Osaka University where he is now a professor and associate dean.