Results 41 to 50 of about 49,802 (165)
Nonlocal degenerate reaction-diffusion equations with general nonlinear diffusion term
Electronic Journal of Differential Equations, 2014 We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global ...
Sikiru Adigun Sanni
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Homogenization of a system of semilinear diffusion-reaction equations in an H^{1,p} setting
Electronic Journal of Differential Equations, 2013 In this article, homogenization of a system of semilinear multi-species diffusion-reaction equations is shown. The presence of highly nonlinear reaction rate terms on the right-hand side of the equations make the model difficult to analyze. We obtain
Hari Shankar Mahato, Michael Bohm
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Journal of Applied Mathematics, 2015 A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain (0,lπ) with l>0 is considered.
Cun-Hua Zhang, Xiang-Ping Yan
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Entropy of scalar reaction-diffusion equations [PDF]
Mathematica Bohemica, 2014 We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero.
openaire +2 more sources
Reaction-diffusion systems with 1-homogeneous non-linearity
Electronic Journal of Differential Equations, 2002 We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
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Adaptive Iterative Splitting Methods for Convection-Diffusion-Reaction Equations
Mathematics, 2020 This article proposes adaptive iterative splitting methods to solve Multiphysics problems, which are related to convection−diffusion−reaction equations. The splitting techniques are based on iterative splitting approaches with adaptive ideas.
Jürgen Geiser +2 more
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Homogenization of reaction-diffusion equations in fractured porous media
Electronic Journal of Differential Equations, 2015 The article studies the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic.
Hermann Douanla, Jean Louis Woukeng
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Results in Physics, 2019 Effect of chemical reaction on Li-ions diffusion and diffusion-reaction-induced stresses in a spherical electrode is studied, considering the reaction rate determined by the relation between hydrostatic stress and activation enthalpy, to derive new ...
Liangxinbu Lyu +4 more
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Partial Differential Equations in Applied MathematicsA theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided.
G. Yokeswari +3 more
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Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source
Advances in Mathematical Physics, 2014 This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction.
Yulan Wang, Xiaojun Song, Chao Ye
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