title: A perturbative approach to a nonlinear advection-diffusion equation of particle transport

authors: Walter, Dominik

subjects: Science & Technology

abstract: We explore analytical techniques for modeling the nonlinear cosmic ray transport in various astrophysical environments which is of significant current research interest. While nonlinearity is most often described by coupled equations for the dynamics of the thermal plasma and the cosmic ray transport or for the transport of the plasma waves and the cosmic rays, we study the case of a single but nonlinear advection-diffusion equation. The latter can be approximately solved analytically or semi-analytically, with the advantage that these solutions are easy to use and, thus, can facilitate a quantitative comparison to data. In the present study, we extend our previous work in a twofold manner. First, instead of employing an integral method to the case of pure nonlinear diffusion, we apply an expansion technique to the advection-diffusion equation. We use the technique systematically to analyze the effect of nonlinear diffusion for the cases of constant and spatially varying advection combined with time-varying source functions. Second, we extend the study from the one-dimensional, Cartesian geometry to the radially symmetric case, which allows us to treat more accurately the nonlinear diffusion problems on larger scales away from the source.

text: A perturbative approach to a nonlinear advection-diffusion equation of particle transport We explore analytical techniques for modeling the nonlinear cosmic ray transport in various astrophysical environments which is of significant current research interest. While nonlinearity is most often described by coupled equations for the dynamics of the thermal plasma and the cosmic ray transport or for the transport of the plasma waves and the cosmic rays, we study the case of a single but nonlinear advection-diffusion equation. The latter can be approximately solved analytically or semi-analytically, with the advantage that these solutions are easy to use and, thus, can facilitate a quantitative comparison to data. In the present study, we extend our previous work in a twofold manner. First, instead of employing an integral method to the case of pure nonlinear diffusion, we apply an expansion technique to the advection-diffusion equation. We use the technique systematically to analyze the effect of nonlinear diffusion for the cases of constant and spatially varying advection combined with time-varying source functions. Second, we extend the study from the one-dimensional, Cartesian geometry to the radially symmetric case, which allows us to treat more accurately the nonlinear diffusion problems on larger scales away from the source.

year: 2020

title: Composition portfolio

authors: Gilmour, Hannah Ruth

subjects: composition

abstract: This collection of original compositions shows a range of themes and styles.
Each piece portrays a different concept or idea I have grappled with during the year of composition.  Three Angles of Anticipation is a set of three diverse orchestral works each based on the theme of waiting.  In contrast, Sad Songs for a Rainy Day and a Broken Heart is a collection of six short pieces written for solo piano which explore the themes of grief and memories.  Land of Promise? combines acoustic and electroacoustic techniques to create a work questioning how much we are informed of New Zealand's history, whereas Telemachus is a dramatic work about a Monk killed in a gladiator arena.  To conclude, the electroacoustic tape work Ode to a Cricket is a set of three pieces created from the sample of a cricket call. It explores the theme of paying attention to the small and seemingly insignificant details of our world.

text: Composition portfolio This collection of original compositions shows a range of themes and styles.
Each piece portrays a different concept or idea I have grappled with during the year of composition.  Three Angles of Anticipation is a set of three diverse orchestral works each based on the theme of waiting.  In contrast, Sad Songs for a Rainy Day and a Broken Heart is a collection of six short pieces written for solo piano which explore the themes of grief and memories.  Land of Promise? combines acoustic and electroacoustic techniques to create a work questioning how much we are informed of New Zealand's history, whereas Telemachus is a dramatic work about a Monk killed in a gladiator arena.  To conclude, the electroacoustic tape work Ode to a Cricket is a set of three pieces created from the sample of a cricket call. It explores the theme of paying attention to the small and seemingly insignificant details of our world.

year: 2010

title: Māori cultural definitions of sexual violence.

authors: Pihama, Leonie

abstract: Exploring definitions of sexual violence in Aotearoa highlights that on the whole such definitions are located within dominant Pākehā frameworks that do not provide adequately for understanding the context of sexual violence for Māori. As such Māori working in the area of healing the trauma of sexual violence have been developing frameworks which are enabling of culturally defined understandings and traditional knowledge as a basis by which to understand sexual violence in Aotearoa. Informed by te reo and tikanga Māori (Māori language and culture) Māori healers, social workers and health providers have moved beyond western definitions and have highlighted the link between acts of sexual violence and the violence of colonial invasion. This article explores Māori perspectives of the origins and impacts of sexual violence for Māori and advocates for Kaupapa Māori and decolonising approaches to be more fully supported and engaged in dealing with these issues within our communities.

text: Māori cultural definitions of sexual violence. Exploring definitions of sexual violence in Aotearoa highlights that on the whole such definitions are located within dominant Pākehā frameworks that do not provide adequately for understanding the context of sexual violence for Māori. As such Māori working in the area of healing the trauma of sexual violence have been developing frameworks which are enabling of culturally defined understandings and traditional knowledge as a basis by which to understand sexual violence in Aotearoa. Informed by te reo and tikanga Māori (Māori language and culture) Māori healers, social workers and health providers have moved beyond western definitions and have highlighted the link between acts of sexual violence and the violence of colonial invasion. This article explores Māori perspectives of the origins and impacts of sexual violence for Māori and advocates for Kaupapa Māori and decolonising approaches to be more fully supported and engaged in dealing with these issues within our communities.

year: 2016