Liesegang Phenomenon of Liquid Metals on Au Film
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DOI: 10.1002/adma.202209392
Abstract: Room temperature liquid metals (LM) such as gallium (Ga) own the potential to react with specific materials which would incubate new application categories. Here, diverse self‐organized ring patterns due to nonequilibrium reaction‐diffusion and spreading‐limitation of… read more here.
Keywords: liquid metals; film; reaction diffusion; liesegang ... See more keywords
Single blowup point for a semilinear reaction‐diffusion system
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DOI: 10.1002/mana.201400335
Abstract: Throughout this paper, we investigate the blowup set for the semilinear reaction‐diffusion system ut=Δu+f(u,v),x∈Ω,t>0,vt=Δv+g(u,v),x∈Ω,t>0,u(x,t)=v(x,t)=0,x∈∂Ω,t>0,u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω,where Ω=BR:={x∈Rn;|x| read more here.
Keywords: semilinear reaction; reaction diffusion; diffusion system; blowup ... See more keywords
A singular reaction-diffusion equation associated with brain lactate kinetics
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DOI: 10.1002/mma.4150
Abstract: Our aim in this paper is to study the well-posedness of a singular reaction-diffusion equation which is related with brain lactate kinetics, when spatial diffusion is taken into account. Copyright © 2016 John Wiley &… read more here.
Keywords: diffusion; brain lactate; singular reaction; reaction diffusion ... See more keywords
Dissipativity and synchronization control of fractional‐order memristive neural networks with reaction‐diffusion terms
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DOI: 10.1002/mma.5873
Abstract: This paper deals with the dissipativity and synchronization control of fractional‐order memristive neural networks (FOMNNs) with reaction‐diffusion terms. By means of fractional Halanay inequality, Wirtinger inequality, and Lyapunov functional, some sufficient conditions are provided to… read more here.
Keywords: diffusion terms; dissipativity synchronization; reaction diffusion;
Nonnegative solutions to reaction–diffusion system with cross‐diffusion and nonstandard growth conditions
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DOI: 10.1002/mma.6401
Abstract: We establish the existence of nonnegative weak solutions to nonlinear reaction–diffusion system with cross‐diffusion and nonstandard growth conditions subject to the homogeneous Neumann boundary conditions. We assume that the diffusion operators satisfy certain monotonicity condition… read more here.
Keywords: nonstandard growth; diffusion; diffusion system; growth conditions ... See more keywords
Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative
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DOI: 10.1002/mma.6517
Abstract: In this research work, we study the model of nonlinear reaction–diffusion equation, diffusion‐wave equation, and Cattaneo equation with the help of a numerical method in which time‐fractional derivative is of Caputo–Fabrizio type (C‐F). First, we… read more here.
Keywords: operational matrix; diffusion; equation; diffusion wave ... See more keywords
Global synchronization of fractional‐order and integer‐order N component reaction diffusion systems: Application to biochemical models
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DOI: 10.1002/mma.6807
Abstract: This study considers the problem of control and synchronization between fractional‐order and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients and different nonlinear parts. The control scheme is designed using the Lyapunov direct method. The results… read more here.
Keywords: integer order; order; fractional order; reaction diffusion ... See more keywords
Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise
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DOI: 10.1002/mma.6925
Abstract: In this paper, we consider the approximate solutions of time‐fractional reaction–diffusion equations forced by multiplicative noise on a bounded domain. When the diffusion is large, one can approximate the solutions of the stochastic time‐fractional reaction–diffusion… read more here.
Keywords: time; fractional reaction; time fractional; reaction diffusion ... See more keywords
Impulsive control and global stabilization of reaction‐diffusion epidemic model
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DOI: 10.1002/mma.7517
Abstract: In this paper, by using the variational method, a sufficient condition for the unique existence of the stationary solution of the reaction-diffusion ecosystem is obtained, which directly leads to the global asymptotic stability of the… read more here.
Keywords: epidemic prevention; ecosystem; control; reaction diffusion ... See more keywords
Blow-Up Phenomenon for a Reaction–Diffusion Equation with Weighted Nonlocal Gradient Absorption Terms
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DOI: 10.1007/s00009-021-01795-5
Abstract: This paper deals with the blow-up phenomenon of solutions to a reaction–diffusion equation with weighted nonlocal gradient absorption terms in a bounded domain. Based on the method of auxiliary function and the technique of modified… read more here.
Keywords: reaction diffusion; equation weighted; blow phenomenon; nonlocal gradient ... See more keywords
Optimal control of vaccination in a vector-borne reaction–diffusion model applied to Zika virus
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DOI: 10.1007/s00285-019-01390-z
Abstract: Zika virus has acquired worldwide concern after a recent outbreak in Latin America that started in Brazil, with associated neurological conditions such as microcephaly in newborns from infected mothers. The virus is transmitted mainly by… read more here.
Keywords: control; reaction diffusion; zika virus; vaccination ... See more keywords