Results 21 to 30 of about 49,802 (165)
Stochastic reaction–diffusion equations on networks [PDF]
Journal of Evolution Equations, 2021 AbstractWe consider stochastic reaction–diffusion equations on a finite network represented by a finite graph. On each edge in the graph, a multiplicative cylindrical Gaussian noise-driven reaction–diffusion equation is given supplemented by a dynamic Kirchhoff-type law perturbed by multiplicative scalar Gaussian noise in the vertices.
M. Kovács, E. Sikolya
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Nonlocal Reaction-Diffusion Equations in Population Dynamics [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral ...
V. Volpert
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Reaction–diffusion equations for the infinity Laplacian [PDF]
Nonlinear Analysis, 2020 We derive sharp regularity for viscosity solutions of an inhomogeneous infinity Laplace equation across the free boundary, when the right hand side does not change sign and satisfies a certain growth condition. We prove geometric regularity estimates for solutions and conclude that once the source term is comparable to a homogeneous function, then the ...
Diehl, Nicolau M.L. +1 more
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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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Asymptotic Behavior of Stochastic Reaction–Diffusion Equations
MathematicsIn this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the
Hao Wen +3 more
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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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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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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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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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