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This paper presents a model to simulate the electricity demand of a single household consisting of multiple individuals. The total consumption is divided into four main categories, namely cold appliances, heating, ventilation, and air conditioning, lighting, and energy consumed by household members’ activities. The first three components are modeled using… (More)

This paper is the second part of the study. In Part I, self-similar solutions of a weighted fast diffusion equation (WFD) were related to optimal functions in a family of subcritical Caffarelli-Kohn-Nirenberg inequalities (CKN) applied to radially symmetric functions. For these inequalities, the linear instability (symmetry breaking) of the optimal radial… (More)

- Louise Jeffery, Johannes Gütschow, +21 authors ToshihikoMasui andMahoTakimi
- 2016

Under the Paris Agreement, parties set and implement their own emissions targets as nationally determined contributions (NDCs) to tackle climate change. International carbon emissions trading is expected to reduce globalmitigation costs. Here, we show the benefit of emissions trading under both NDCs and amore ambitious reduction scenario consistent with the… (More)

In this paper we consider a family of Caffarelli-Kohn-Nirenberg interpolation inequalities (CKN), with two radial power law weights and exponents in a subcritical range. We address the question of symmetry breaking: are the optimal functions radially symmetric, or not ? Our intuition comes from a weighted fast diffusion (WFD) flow: if symmetry holds, then… (More)

We study optimal functions in a family of Caffarelli-Kohn-Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail. We establish the existence of optimal functions, study their properties and prove that they are radial when the power in the weight is small enough. Radial symmetry up to translations is… (More)

- Matteo Muratori, Steven J Smith, Page Kyle, Robert Link, Bryan K Mignone, Haroon S Kheshgi
- Environmental science & technology
- 2017

The freight sector's role is examined using the Global Change Assessment Model (GCAM) for a range of climate change mitigation scenarios and future freight demand assumptions. Energy usage and CO2 emissions from freight have historically grown with a correlation to GDP, and there is limited evidence of near-term global decoupling of freight demand from GDP.… (More)

- Harrison B. Smith, Amy Pielow, +6 authors Matthew C. Roberts
- Computing in Science & Engineering
- 2014

Understanding energy use is critical. Although simulation is valuable, such models are simplified abstractions of actual energy systems. The authors present an energy system multimodel implemented with the Language and Platform Independent Steering (LAPIS) computational steering API. They present an adaptable framework for the integration and development of… (More)

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