Mathematical analysis of nonlocal PDEs for network generation
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2019057
Abstract: In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from local interaction rules, which result in a… read more here.
Keywords: analysis nonlocal; network generation; network; nonlocal pdes ... See more keywords
Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients
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DOI: 10.1080/00036811.2018.1515924
Abstract: ABSTRACT A blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients is investigated under null Dirichlet boundary conditions. Based on the Kaplan's method, comparison principle and modified differential inequality technique, we establish a blow-up… read more here.
Keywords: analysis nonlocal; analysis; nonlocal reaction; blow analysis ... See more keywords
Analysis of nonlocal Kelvin's model for embedded microtubules: Via viscoelastic medium
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DOI: 10.12989/sss.2020.26.6.809
Abstract: In cells, the microtubules are surrounded by viscoelastic medium. Microtubules, though very small in size, perform a vital role in transportation of protein and in maintaining the cell shape. During performing these functions waves propagate… read more here.
Keywords: medium; viscoelastic medium; analysis nonlocal; wave velocity ... See more keywords