180 citations · 1.3k across the 65 of their papers we have counts for
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math.AP2014★ 3 cited
Eventual self-similarity of solutions for the diffusion equation with nonlinear absorption and a point source
Peter V. Gordon, Cyrill B. Muratov
This paper is concerned with the transient dynamics described by the solutions of the reaction-diffusion equations in which the reaction term consists of a combination of a superli…
math-ph2014★ 18 cited
Orbital-free density functional theory of out-of-plane charge screening in graphene
Jianfeng Lu, Vitaly Moroz, Cyrill B. Muratov
We propose a density functional theory of Thomas-Fermi-Dirac-von Weizsäcker type to describe the response of a single layer of graphene resting on a dielectric substrate to a point…
math.OC2014★ 14 cited
On an isoperimetric problem with a competing non-local term: Quantitative results
Cyrill B. Muratov, Anthony Zaleski
This paper provides a quantitative version of the recent result of Knüpfer and Muratov ({\it Commun. Pure Appl. Math.} {\bf 66} (2013), 1129--1162) concerning the solutions of an e…