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Creators/Authors contains: "Castro, David"

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  1. ; ; ; (, Archive for Rational Mechanics and Analysis)
    Abstract We give sharp conditions for the large time asymptotic simplification of aggregation-diffusion equations with linear diffusion. As soon as the interaction potential is bounded and its first and second derivatives decay fast enough at infinity, then the linear diffusion overcomes its effect, either attractive or repulsive, for large times independently of the initial data, and solutions behave like the fundamental solution of the heat equation with some rate. The potential$$W(x) \sim \log |x|$$ W ( x ) ∼ log | x | for$$|x| \gg 1$$ | x | ≫ 1 appears as the natural limiting case when the intermediate asymptotics change. In order to obtain such a result, we produce uniform-in-time estimates in a suitable rescaled change of variables for the entropy, the second moment, Sobolev norms and the$$C^\alpha $$ C α regularity with a novel approach for this family of equations using modulus of continuity techniques. 
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  2. ; ; ; ; ; ; ; ; ; ; et al (, PLANTS, PEOPLE, PLANET)
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  3. ; ; ; ; ; ; ; ; ; ; et al (, G3 Genes|Genomes|Genetics)
    Abstract Here, we report the discovery of a novel Sediminibacterium sequenced from laboratory cultures of freshwater stream cyanobacteria from sites in Southern California, grown in BG11 medium. Our genome-wide analyses reveal a highly contiguous and complete genome (97% BUSCO) that is placed within sediminibacterial clades in phylogenomic analyses. Functional annotation indicates the presence of genes that could be involved in mutualistic/commensal relationship with associated cyanobacterial hosts. 
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