Results 21 to 30 of about 469,036 (195)
Chemical turbulence equivalent to Nikolavskii turbulence [PDF]
, 2004 We find evidence that a certain class of reaction-diffusion systems can exhibit chemical turbulence equivalent to Nikolaevskii turbulence. The distinctive characteristic of this type of turbulence is that it results from the interaction of weakly stable ...
A. T. Winfree +6 more
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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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Complexity, 2020 In this research work, we focused on finding the numerical solution of time-fractional reaction-diffusion and another class of integro-differential equation known as the integro reaction-diffusion equation.
Sachin Kumar, Jinde Cao, Xiaodi Li
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this article we introduce rather general notion of the stationary solution of the bistable equation which allows to treat discontinuous density dependent diffusion term with singularities and degenerations, as well as degenerate or non-Lipschitz ...
Pavel Drábek, Michaela Zahradnikova
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Traveling wave solutions for a neutral reaction–diffusion equation with non-monotone reaction
Advances in Difference Equations, 2019 In the present paper, we firstly improve the results on traveling wave solution that were established in (Liu and Weng in J. Differ. Equ. 258:3688–3741, 2015) for a neutral reaction–diffusion equation with quasi-monotone reaction.
Yubin Liu
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State Feedback Regulation Problem to the Reaction-Diffusion Equation
Mathematics, 2020 In this work, we explore the state feedback regulator problem (SFRP) in order to achieve the goal for trajectory tracking with harmonic disturbance rejection to one-dimensional (1-D) reaction-diffusion (R-D) equation, namely, a partial differential ...
Francisco Jurado, Andrés A. Ramírez
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On a semilinear fractional reaction-diffusion equation with nonlocal conditions
Alexandria Engineering Journal, 2021 In the present paper, a nonlocal problem for semilinear fractional diffusion equations with Riemann-Liouville derivative is investigated. By applying Banach fixed point theorem combined with some techniques on Mittag-Leffler functions, we establish some ...
Tran Ngoc Thach +3 more
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Solution of Higher Order Nonlinear Time-Fractional Reaction Diffusion Equation
Entropy, 2016 The approximate analytical solution of fractional order, nonlinear, reaction differential equations, namely the nonlinear diffusion equations, with a given initial condition, is obtained by using the homotopy analysis method. As a demonstration of a good
Neeraj Kumar Tripathi +4 more
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, 2015 We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method.
Ho, C. -L., Lee, C. -C.
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Kolmogorov Equation for a Stochastic Reaction–Diffusion Equation with Multiplicative Noise
MathematicsReaction–diffusion equations can model complex systems where randomness plays a role, capturing the interaction between diffusion processes and random fluctuations.
Kaiyuqi Guan, Yu Shi
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