Results 1 to 10 of about 636,245 (282)
Blow-Up Phenomena in Reaction-Diffusion Problems with Nonlocal and Gradient Terms
Discrete Dynamics in Nature and Society, 2022 This paper considers the blow-up phenomena for the following reaction-diffusion problem with nonlocal and gradient terms: ut=Δum+∫Ωurdx−∇us,in Ω×0,t∗,∂u/∂ν=gu,on ∂Ω ×0,t∗,ux,0=u0x≥0,in Ω¯.
Xuhui Shen, Dandan Wu
doaj +3 more sources
Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms [PDF]
Discrete & Continuous Dynamical Systems - A, 2017 In this work we study a system of parabolic reaction-diffusion equations which are coupled not only through the reaction terms but also by way of nonlocal diffusivity functions.
de Oliveira, Hermenegildo Borges +1 more
core +4 more sources
General decay synchronization of delayed BAM neural networks with reaction–diffusion terms [PDF]
Advances in Difference Equations, 2020 In this paper, general decay synchronization of delayed bidirectional associative memory neural networks with reaction–diffusion terms is studied. First, a useful lemma is introduced to determine the general decay synchronization of considered systems ...
Rouzimaimaiti Mahemuti +2 more
doaj +3 more sources
Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms [PDF]
Boundary Value Problems, 2010 we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, , . The solutions of the system quenches in finite time for any initial data are obtained, and the blow-up of time derivatives at
Zhou Shouming, Mu Chunlai
doaj +4 more sources
Mathematics, 2022 This paper introduces a novel synchronization scheme for fractional-order neural networks with time delays and reaction-diffusion terms via pinning control.
M Hymavathi +2 more
exaly +3 more sources
Dynamic behaviors for inertial neural networks with reaction-diffusion terms and distributed delays
Advances in Difference Equations, 2021 A class of inertial neural networks (INNs) with reaction-diffusion terms and distributed delays is studied. The existence and uniqueness of the equilibrium point for the considered system is obtained by topological degree theory, and a sufficient ...
Famei Zheng
doaj +1 more source
Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
Open Physics, 2023 In this work, we propose the Ritz approximation approach with a satisfier function to solve fractal-fractional advection–diffusion–reaction equations. The approach reduces fractal-fractional advection–diffusion–reaction equations to a system of algebraic
Md Nasrudin Farah Suraya +2 more
doaj +1 more source
IEEE Access, 2021 This paper addresses an adaptive fuzzy feedback controller design problem for finite-time Mittag-Leffler synchronization (FTMLS) of fractional-order quaternion-valued reaction-diffusion T-S fuzzy molecular modeling of delayed neural networks.
G. Narayanan +6 more
doaj +1 more source
Exponential stability for delayed complex-valued neural networks with reaction-diffusion terms
Advances in Difference Equations, 2021 In this study, we investigate reaction-diffusion complex-valued neural networks with mixed delays. The mixed delays include both time-varying and infinite distributed delays.
Xiaohui Xu +4 more
doaj +1 more source
Boundary Value Problems, 2021 We study positive solutions to steady-state reaction–diffusion models of the form { − Δ u = λ f ( v ) ; Ω , − Δ v = λ g ( u ) ; Ω , ∂ u ∂ η + λ u = 0 ; ∂ Ω , ∂ v ∂ η + λ v = 0 ; ∂ Ω , $$ \textstyle\begin{cases} -\Delta u=\lambda f(v);\quad\Omega ...
A. Acharya, N. Fonseka, R. Shivaji
doaj +1 more source