This book contains two review articles℗ℓon℗ℓthe dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initia…
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems prop…
Where do most stars (and the planetary systems that surround them) in the Milky Way form? What determines whether a young star cluster remains bound (such as an open or globular cluster), or disperses to join the field stars in the disc of the Galaxy? These questions not only impact understanding of the origins of stars and planetary systems like our own (and the potential for life to emerge th…
This work presents a study of methods useful for modeling and understanding dynamical systems in the Galaxy. A natural coordinate system for the study of dynamical systems is the angle-action coordinate system. New methods for the approximation of the action-angle variables in general potentials are presented and discussed. These new tools are applied to the construction of dynamical models for…
The focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing problems of an economic and social nature and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of …
This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications. The respective chapters, written by leading researchers, discuss the main techniques and applications, together with the advantages and shortcomings of these tools in comparison to other f…
Most of the short lyrics that make up this sublime collection were written first in English and French before being translated into Cree, Michif, Chinese, and Ukrainian to reflect Edmonton’s multicultural past and present. Together they form a composite view of the people and culture that inhabit the city’s natural spaces.
This monograph presents design methodologies for (robust) fractional control systems. It shows the reader how to take advantage of the superior flexibility of fractional control systems compared with integer-order systems in achieving more challenging control requirements. There is a high degree of current interest in fractional systems and fractional control arising from both academia and indu…
Lung cancer is the leading cause of mortality worldwide, with a low survival rate. Carcinogenesis generally requires a constellation of entwined steps, involving both innate cellular and environmental factors. This book shares the updated knowledge on the origin and development of cancer through genotypic changes which upset the physiological balance between cell proliferation, differentiation,…
Evolving from a conversation between Joshua Whitehead and Angie Abdou, Indigiqueerness is part dialogue, part collage, and part memoir. Beginning with memories of his childhood poetry and prose and travelling through the library of his life, Whitehead contemplates the role of theory, Indigenous language, queerness, and fantastical worlds in all his artistic pursuits. This volume is imbued with …