Search Results - "Du, Yihong"
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Propagation and reaction–diffusion models with free boundaries
Published in Bulletin of mathematical sciences (01-04-2022)“…In this short survey, we describe some recent developments on the modeling of propagation by reaction-differential equations with free boundaries, which…”
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2
The Fisher-KPP equation over simple graphs: varied persistence states in river networks
Published in Journal of mathematical biology (01-04-2020)“…In this article, we study the dynamical behaviour of a new species spreading from a location in a river network where two or three branches meet, based on the…”
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3
Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-09-2019)“…The Fisher–Kolmogorov–Petrovsky–Piskunov model, also known as the Fisher–KPP model, supports travelling wave solutions that are successfully used to model…”
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4
Automatic and objective gradation of 114 183 terrorist attacks using a machine learning approach
Published in ETRI journal (01-08-2021)“…Catastrophic events cause casualties, damage property, and lead to huge social impacts. To build common standards and facilitate international communications…”
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5
Spreading speed and profile for nonlinear Stefan problems in high space dimensions
Published in Journal de mathématiques pures et appliquées (01-03-2015)“…We consider nonlinear diffusion problems of the form ut=Δu+f(u) with Stefan type free boundary conditions, where the nonlinear term f(u) is of monostable,…”
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The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in $ {\mathbb R}^3
Published in Mathematics in engineering (01-06-2023)“…This paper is concerned with the radially symmetric Fisher-KPP nonlocal diffusion equation with free boundary in dimension 3. For arbitrary dimension $ N\geq 2…”
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7
Finite Morse index solutions of weighted elliptic equations and the critical exponents
Published in Calculus of variations and partial differential equations (01-11-2015)“…We study the behavior of finite Morse index solutions to the weighted elliptic equation - div | x | θ ∇ v = | x | l | v | p - 1 v in Ω ⊂ R N ( N ≥ 2 ) , where…”
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Regularity and Asymptotic Behavior of Nonlinear Stefan Problems
Published in Archive for rational mechanics and analysis (01-06-2014)“…We study the following nonlinear Stefan problem u t - d Δ u = g ( u ) for x ∈ Ω ( t ) , t > 0 , u = 0 and u t = μ | ∇ x u | 2 for x ∈ Γ ( t ) , t > 0 , u ( 0 ,…”
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9
Allee effect and bistability in a spatially heterogeneous predator-prey model
Published in Transactions of the American Mathematical Society (01-09-2007)“…A spatially heterogeneous reaction-diffusion system modelling pre-dator-prey interaction is studied, where the interaction is governed by a Holling type II…”
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Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N
Published in Indiana University mathematics journal (2015)Get full text
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Improving Unsupervised Object-Based Change Detection via Hierarchical Multi-Scale Binary Partition Tree Segmentation: A Case Study in the Yellow River Source Region
Published in Remote sensing (Basel, Switzerland) (01-02-2024)“…Change detection in remote sensing enables identifying alterations in surface characteristics over time, underpinning diverse applications. However,…”
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12
Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries
Published in Electronic research archive (2022)“…In this paper, we consider a reaction-diffusion epidemic model with nonlocal diffusion and free boundaries, which generalises the free-boundary epidemic model…”
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13
Automatic segment-wise restoration for wide irregular stripe noise in SDGSAT-1 multispectral data using side-slither data
Published in The Egyptian journal of remote sensing and space sciences (01-12-2023)“…The raw orbital images captured by the new launched SDGSAT-1 Multispectral Image for Inshore (MII) are plagued by wide-irregular stripe noise, due to…”
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14
Special issue for Prof. Dancer
Published in Electronic research archive (01-05-2022)Get full text
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Automatic and objective gradation of 114 183 terrorist attacks using a machine learning approach
Published in ETRI journal (24-09-2021)“…Catastrophic events cause casualties, damage property, and lead to huge social impacts. To build common standards and facilitate international communications…”
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16
Synthesis of nanocrystalline titanium nitride at low temperature and its thermal stability
Published in Journal of alloys and compounds (12-05-2009)“…Nanocrystalline titanium nitride has been prepared via a convenient route by the reaction of metallic magnesium powder with titanium dioxide and ammonium…”
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Synthesis of nanocrystalline hexagonal tungsten carbide via co-reduction of tungsten hexachloride and sodium carbonate with metallic magnesium
Published in Journal of alloys and compounds (10-01-2008)“…Nanocrystalline tungsten carbide (WC) was synthesized via a simple route by the reaction of metallic magnesium with sodium carbonate and tungsten hexachloride…”
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18
Spreading and Vanishing for Nonlinear Stefan Problems in High Space Dimensions
Published in Journal of elliptic and parabolic equations (01-04-2016)“…We classify the long-time behavior of solutions to nonlinear diffusive equations of the form u t − Δ u = f ( u ) for t > 0 and x over a variable domain Ω ( t )…”
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19
Formation of nanocrystalline niobium carbide (NbC) with a convenient route at low temperature
Published in Journal of alloys and compounds (05-05-2009)“…Nanocrystalline NbC has been prepared via a convenient route by the reaction of metallic magnesium powders with niobium pentoxide and basic magnesium carbonate…”
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20
A convenient thermal reduction–nitridation route to nanocrystalline molybdenum nitride (Mo 2N)
Published in Journal of alloys and compounds (08-09-2008)“…Nanocrystalline molybdenum nitride (γ-Mo 2N) was synthesized via a thermal reduction–nitridation route by the reaction of metallic sodium with anhydrous…”
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