Results 1 to 10 of about 110,349 (310)
Dynamics of Fractional Delayed Reaction-Diffusion Equations [PDF]
Entropy, 2023 The long-term behavior of the weak solution of a fractional delayed reaction–diffusion equation with a generalized Caputo derivative is investigated.
Linfang Liu, Juan J. Nieto
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Learning Interactions in Reaction Diffusion Equations by Neural Networks [PDF]
Entropy, 2023 Partial differential equations are common models in biology for predicting and explaining complex behaviors. Nevertheless, deriving the equations and estimating the corresponding parameters remains challenging from data.
Sichen Chen +3 more
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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
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Structural stability for scalar reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we prove the structural stability for a family of scalar reaction-diffusion equations. Our arguments consist of using invariant manifold theorem to reduce the problem to a finite dimension and then, we use the structural stability of Morse–
Jihoon Lee, Leonardo Pires
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Fractional reaction-diffusion equation [PDF]
The Journal of Chemical Physics, 2003 A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 more
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Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
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Fractional Reaction-Diffusion Equations [PDF]
Astrophysics and Space Science, 2006 LaTeX, 17 pages, corrected ...
Saxena, R. K. +2 more
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Exact solutions of nonlinear delay reaction–diffusion equations with variable coefficients
Partial Differential Equations in Applied Mathematics, 2021 A modified method of functional constraints is used to construct the exact solutions of nonlinear equations of reaction–diffusion type with delay and which are associated with variable coefficients.
M.O. Aibinu, S.C. Thakur, S. Moyo
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Speed of Fronts of the Reaction-Diffusion Equation [PDF]
Physical Review Letters, 1996 7 pages Revtex, 1 figure not ...
Benguria Donoso, Rafael +1 more
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Stochastic Homogenization for Reaction–Diffusion Equations [PDF]
Archive for Rational Mechanics and Analysis, 2018 In the present paper we study stochastic homogenization for reaction-diffusion equations with stationary ergodic reactions. We first show that under suitable hypotheses, initially localized solutions to the PDE asymptotically become approximate characteristic functions of a ballistically expanding Wulff shape.
Jessica Lin, Andrej Zlatoš
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