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Weak Solutions for Parabolic Equations
2018In this chapter, we will deal with the study of the following problem: $$\begin{aligned}&\frac{\partial u}{\partial t}(t,x)-\Delta u(t,x)=f(t,x), \forall (t, x)\in Q_{T}=(0,T)\times \Omega ,\nonumber \\u\forall x\in \Omega ,\\u\forall (t, x)\in (0,T)\times \partial \Omega ,\nonumber \end{aligned}$$ where \(\Omega \) is an open set from \(R^{n}\)
Andreas Öchsner, Marin Marin
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An empirical solution to the puzzle of weakness of will
Synthese, 2018This paper presents an empirical solution to the puzzle of weakness of will. Specifically, it presents a theory of action, grounded in contemporary cognitive neuroscientific accounts of decision making, that explains the phenomenon of weakness of will without resulting in a puzzle.
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The Dirichlet Problem and Weak Solutions
2019The natural starting point is a Dirichlet integral $$I(u)=\int _{\Omega }|\nabla u|^pdx$$ with the exponent p ...
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Framing “nature‐based” solutions to climate change
Wiley Interdisciplinary Reviews: Climate Change, 2021Noel Castree, Rob Bellamy, Shannon Osaka
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Electrolyte solutions design for lithium-sulfur batteries
Joule, 2021Ruqiang Zou, Quanquan Pang
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Finite Elements and Weak Solutions
2013In Chapter 5, we studied the oldest, and in many ways the simplest, class of numerical algorithms for approximating the solutions to partial differential equations: those based on finite difference approximations. In the present chapter, we introduce the second of the two major numerical paradigms: the finite element method.
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Noncoding RNA therapeutics — challenges and potential solutions
Nature Reviews Drug Discovery, 2021Sherien M El-daly +2 more
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Innovations in research and clinical care using patient‐generated health data
Ca-A Cancer Journal for Clinicians, 2020Heather S L Jim +2 more
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