OREGON STATE UNIVERSITY
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France, Japan and Luxembourg: international experiences give Saki Nakai a rich, interdisciplinary perspective.
The Mathematics Department has hired several new faculty to start in the fall
Seed funding from the College of Science Research and Innovation Seed (SciRIS) program awarded to four math faculty
Mathematics and statistics are two of the quickest-growing fields in the country, and it's not hard to guess why.
In this dissertation, we will consider some localization methods for estimating solutions to partial differential equations related to fluids models. In particular, we focus on two non-local systems, the Navier-Stokes (and Euler) equations describing incompressible fluid behavior, and the aggregation equations. We introduce compactly supported weights and algebraic weights, and use them to inspect solutions of these models. Via compactly supported weights, we derive short-time existence of solutions to the Euler equations in $H^s_{ul}(\R^d)$ for sufficiently nice initial data.
Realistic Mathematics Education (RME) is a body of educational theory which is a common point of inspiration among mathematics educators focused on reform towards active learning at the undergraduate level. This paper presents the origin and major components of RME theory, placing particular attention on the thought of Dr. Hans Freudenthal, the founder of the theoretical school. The theory is further elucidated through the perspective of a curriculum generating developmental research project, Teaching Abstract Algebra for Understanding (TAAFU or IOAA).