Results 21 to 30 of about 105,458 (263)
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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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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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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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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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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Waveform relaxation for reaction–diffusion equations
Journal of Computational and Applied Mathematics, 2011 The authors propose a new waveform relaxation algorithm for general semi-linear reaction-diffusion equations. Compared with the classical waveform relaxation algorithm, the new one has two advantages: the first one is that the system is not decomposed into sub-systems; the second one is represented by the fact that the convergence rate of the new ...
Jun Liu 0064, Yao-Lin Jiang
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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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A conforming discontinuous finite element method for diffusion-reaction equations
四川大学学报. 自然科学版, 2023 For the primal-mixed form of the steady diffusion-reaction equation, a new conforming discontinuous finite element scheme is proposed by using the idea of discontinuous finite element method and the least-square method. Then the method is extended to the
GU Zi-Bing +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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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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