Results 41 to 50 of about 1,608 (149)
Unstable periodic wave solutions of Nerve Axion diffusion equations
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 787-796, 1987., 1987 Unstable periodic solutions of systems of parabolic equations are studied. Special attention is given to the existence and stability of solutions.
Rina Ling
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Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]
, 2007 2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose +1 more
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Dynamical behavior of a harvest single species model on growing habitat
, 2014 This paper is concerned with a reaction-diffusion single species model with harvesting on $n$-dimensional isotropically growing domain. The model on growing domain is derived and the corresponding comparison principle is proved.
Ling, Zhi, Zhang, Lai
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Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. First, we prove the existence and uniqueness of the model by using the method of upper and lower solutions. Then, we prove that the trivial equilibrium (0, 0) is unstable; the disease‐free equilibrium (N, 0) is ...
Xiangyu Tang, Yujuan Chen, Mengxin Chen
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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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Existence of the Fomin derivative of the invariant measure of a stochastic reaction--diffusion equation [PDF]
, 2014 We consider a reaction--diffusion equation perturbed by noise (not necessarily white). We prove existence of the Fomin derivative of the corresponding transition semigroup $P_t$. The main tool is a new estimate for $P_tD\varphi$ in terms of $\|\varphi\|_{
Da Prato, Giuseppe, Debussche, Arnaud
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Advances in Nonlinear AnalysisIn this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
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Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey
Advanced Nonlinear Studies, 2017 This article is a survey on boundedness results for stable solutions to semilinear elliptic problems.For these solutions, we present the currently known L∞${L^{\infty}}$ estimates that hold for all nonlinearities.Such estimates are known to hold up to ...
Cabré Xavier
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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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Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary Value Problems, 2011 This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
doaj