Results 11 to 20 of about 636,245 (282)
Numerical Solutions of Reaction-Diffusion systems with coupled diffusion terms
Ruhuna Journal of Science, 2009 Numerical solutions of some initial-boundary value problem associated with a particular reaction-diffusion systems namely Gray-Scott model responsible for spatial pattern formation are considered.
L.W. Somathilake
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Event-Triggered Synchronization of Coupled Neural Networks with Reaction–Diffusion Terms
MathematicsThis paper focuses on the event-triggered synchronization of coupled neural networks with reaction–diffusion terms. At first, an effective event-triggered controller was designed based on time sampling.
Abulajiang Aili +2 more
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Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term [PDF]
Journal of Dynamics and Differential Equations, 2022 AbstractBased on a recent work on traveling waves in spatially nonlocal reaction–diffusion equations, we investigate the existence of traveling fronts in reaction–diffusion equations with a memory term. We will explain how such memory terms can arise from reduction of reaction–diffusion systems if the diffusion constants of the other species can be ...
Mielke, Alexander, Reichelt, Sina
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On Stochastic Reaction-Diffusion Equations with Singular Force Term [PDF]
Bernoulli, 2001 An existence and uniqueness theorem for stochastic reaction-diffusion equations driven by space time white noise in one spatial dimension is proved. It appears as a regularization of the ill-behaved deterministic equation. The paper is organized as follows: (1) Introduction; (2) formulation of the problem and the main results containing two theorems ...
Aureli Alabert +2 more
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Recovery of Nonlinear Terms for Reaction Diffusion Equations from Boundary Measurements
Archive for Rational Mechanics and Analysis, 2023 We consider the inverse problem of determining a general semilinear term appearing in nonlinear parabolic equations. For this purpose, we derive a new criterion that allows to prove global recovery of some general class of semilinear terms from lateral boundary measurements of solutions of the equation with initial condition fixed at zero.
Kian, Yavar +1 more
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Homogenization for stochastic reaction-diffusion equations with singular perturbation term
Discrete & Continuous Dynamical Systems - B, 2022 <p style='text-indent:20px;'>The main purpose of this paper is to study the homogenization problem of stochastic reaction-diffusion equations with singular perturbation term. The difficulty in studying such problems is how to get the uniform estimates of the equations under the influence of the singularity term.
Shi, Yangyang, Gao, Hongjun
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Fractal and Fractional, 2023 In recent years, cellular neural networks (CNNs) have become a popular apparatus for simulations in neuroscience, biology, medicine, computer sciences and engineering.
Gani Stamov, Ivanka Stamova
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Robust stability of interactional genetic regulatory networks with reaction-diffusion terms
Advances in Difference Equations, 2017 We have analyzed the stability of interactional genetic regulatory networks with reaction-diffusion terms under Dirichlet boundary conditions in this article.
Chengye Zou +3 more
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Complex & Intelligent Systems, 2023 Robust state estimation for delayed genetic regulatory networks with reaction–diffusion terms and uncertainties terms under Dirichlet boundary conditions is addressed in this article.
Chengye Zou +4 more
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Mathematics, 2023 We study reaction–diffusion systems with rapidly oscillating terms in the coefficients of equations and in the boundary conditions, in media with periodic obstacles. The non-linear terms of the equations only satisfy general dissipation conditions.
Kuanysh A. Bekmaganbetov +2 more
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