Results 41 to 50 of about 155 (123)
Advances in Nonlinear AnalysisThis work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids,
Cen Jinxia +3 more
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Computational dynamics of predator-prey model with the power-law kernel
Results in Physics, 2021 Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
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Advances in Nonlinear AnalysisIn this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
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Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey
Advanced Nonlinear Studies, 2017 This article is a survey on boundedness results for stable solutions to semilinear elliptic problems.For these solutions, we present the currently known L∞${L^{\infty}}$ estimates that hold for all nonlinearities.Such estimates are known to hold up to ...
Cabré Xavier
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Open Mathematics, 2020 In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
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Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type [PDF]
, 2010 A Cauchy problem for a parabolic-elliptic system of drift-di usion type is considered. The problem is formally of the form Ut = r (rU Ur( ) 1U): This system describes a mass-conserving aggregation phenomenon including gravitational collapse and ...
Yoshikazu, Giga +2 more
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The impact factors of the risk index and diffusive dynamics of a SIS free boundary model
Infectious Disease Modelling, 2022 To discuss the impact factors on the spread of infectious diseases, we study a free boundary problem describing a SIS (susceptible-infected-susceptible) model in a heterogeneous environment.
Yachun Tong, Inkyung Ahn, Zhigui Lin
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Small noise asymptotic expansions for stochastic pde's.i : The case of a dissipative polynomially bounded non linearity [PDF]
, 2010 We study a reaction-diusion evolution equation perturbed by a Gaussian noise. Here the leading operator is the innitesimal generator of a C0-semigroup of strictly negative type, the nonlinear term has at most polynomial growth and is such that the whole ...
Albeverio, Sergio +4 more
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Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates
Advances in Nonlinear Analysis, 2020 This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
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Dynamics of PEM with Nano-Inhomogeneities via Cellular Nanoscale Networks [PDF]
, 2019 [Slavova Angela; Славова Анжела]; [Bobeva Galina; Бобева Галина]In this paper we study the dynamics of piezoelectrical material (PEM) with nano-inhomogeneities.
Slavova, Angela, Bobeva, Galina
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