Results 31 to 40 of about 4,210,778 (298)
On a Nonlinear System of Reaction-Diffusion Equations
Nonlinear Analysis, 2006 The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions, − div |∇u1| p1−2∇u1 = λuα11 1 u α12 2 ...
G. A. Afrouzi, S. H. Rasouli
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Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Attractor of reaction-diffusion equations in Banach spaces
Applied General Topology, 2001 In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as
José Valero
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Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation
Journal of Function Spaces, 2022 The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah +3 more
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Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core
Analysis of Reaction-Diffusion Models with the Taxis Mechanism [PDF]
, 2022 This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates.
Ke, Yuanyuan, Li, Jing, Wang, Yifu
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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On Nonlinear Nonlocal Systems of Reaction Diffusion Equations
Abstract and Applied Analysis, 2014 The reaction diffusion system with anomalous diffusion and a balance law ut+-Δα/2u=-fu,v, vt+-∆β/2v=fu,v ...
B. Ahmad +4 more
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Method of Monotone Solutions for Reaction-Diffusion Equations
Современная математика: Фундаментальные направления, 2017 Existence of solutions of reaction-diffusion systems of equations in unbounded domains is studied by the Leray-Schauder (LS) method based on the topological degree for elliptic operators in unbounded domains and on a priori estimates of solutions in ...
V Volpert, V Vougalter
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Reaction–diffusion equations in the half-space
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 We study reaction–diffusion equations of various types in the half-space. For bistable reactions with Dirichlet boundary conditions, we prove conditional uniqueness: there is a unique nonzero bounded steady state which exceeds the bistable threshold on large balls.
Cole Graham, Henri Berestycki
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