Journal ArticleDOI
Diffusion from an instantaneous point source with a concentration-dependent coefficient
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This article is published in Quarterly Journal of Mechanics and Applied Mathematics.The article was published on 1959-01-01. It has received 326 citations till now. The article focuses on the topics: Diffusion (business) & Point source.read more
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A mixed finite element method for nonlinear diffusion equations
TL;DR: In this paper, a mixed finite element method was proposed for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics, leading to a mixed symmetric formulation.
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Fast Diffusion to Self-Similarity: Complete Spectrum, Long-Time Asymptotics, and Numerology
Jochen Denzler,Robert J. McCann +1 more
TL;DR: In this article, the spectrum of Open image in new window on the Sobolev space W 1,2ρ(Rn) formed by closing the smooth functions of compact support with respect to the norm is determined.
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Crystallographic texture and microstructure of pulsed diode laser-deposited Waspaloy
TL;DR: The role of both laser pulse length and duty cycle in controlling the grain size and crystallographic texture of diode laser-deposited Waspaloy powder is investigated in this article.
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Weak SINDy for partial differential equations
TL;DR: The Weak SINDy framework is extended to the setting of partial differential equations (PDEs), and the elimination of pointwise derivative approximations via the weak form enables effective machine-precision recovery of model coefficients from noise-free data and robust identification of PDEs in the large noise regime.
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Climb-enabled discrete dislocation plasticity
TL;DR: In this paper, a small strain two-dimensional discrete dislocation plasticity framework coupled to vacancy diffusion is developed wherein the motion of edge dislocations is by a combination of glide and climb.