Results 21 to 30 of about 304,940 (242)

Diffusion-reaction modelling of the degradation of oil-well cement exposed to carbonated brine [PDF]

, 2017
The essential aspects of a diffusion-reaction model in development for the degradation process of oil-well cement exposed to carbonated brine are presented in this paper.
Carol, Ignacio, Llaudat, J., López, C.M., Martínez, A.   +3 more
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Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems [PDF]

, 2015
In this article, we formulate new models for coupled systems of bulk-surface reaction–diffusion equations on stationary volumes. The bulk reaction–diffusion equations are coupled to the surface reaction–diffusion equations through linear Robin-type ...
Chung, Andy H W, Madzvamuse, Anotida, Venkataraman, Chandrasekhar   +2 more
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Improved duality estimates and applications to reaction-diffusion equations [PDF]

, 2013
We present a refined duality estimate for parabolic equations. This estimate entails new results for systems of reaction-diffusion equations, including smoothness and exponential convergence towards equilibrium for equations with quadratic right-hand ...
Cañizo, José A., Desvillettes, Laurent, Fellner, Klemens   +2 more
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Random attractors for stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domains

Open Mathematics, 2018
In this paper we investigate the stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domain ℝn (n ≥ 2). We first transform the retarded reaction-diffusion equations into the deterministic reaction-diffusion ...
Jia Xiaoyao, Ding Xiaoquan, Gao Juanjuan
doaj   +1 more source

On reaction-subdiffusion equations [PDF]

, 2005
To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we discuss a simple monomolecular conversion A --> B. We derive the corresponding kinetic equations for local A and B concentrations.
B. J. Henry, F. Sagués, I. M. Sokolov, J. Klafter, M. G. W. Schmidt, S. B. Yuste, W. Ebeling   +6 more
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The gradient discretisation method for the chemical reactions of biochemical systems [PDF]

Arab Journal of Mathematical Sciences
Purpose – The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary conditions.
Yahya Alnashri, Hasan Alzubaidi
doaj   +1 more source

Uncoupling Techniques for Multispecies Diffusion–Reaction Model

Computation, 2023
We consider the multispecies model described by a coupled system of diffusion–reaction equations, where the coupling and nonlinearity are given in the reaction part. We construct a semi-discrete form using a finite volume approximation by space.
Maria Vasilyeva, Sergei Stepanov, Alexey Sadovski, Stephen Henry   +3 more
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Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation

Journal of Function Spaces, 2022
The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah, Essam R. El-Zahar, Hina M. Dutt, Mohammad Asif Arefin   +3 more
doaj   +1 more source

Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

, 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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Fractional reaction-diffusion equations

, 2007
In a series of papers, Saxena, Mathai, and Haubold (2002, 2004a, 2004b) derived solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which provide the extension of the work of Haubold and Mathai (1995 ...
A. Compte, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. M. Mathai, A. Wiman, A.A. Kilbas, A.M. Mathai, A.M. Mathai, A.P. Prudnikov, B.I. Henry, B.I. Henry, B.I. Henry, C. Tsallis, C. Tsallis, D. Del-Castillo-Negrete, D. Del-Castillo-Negrete, E.M. Wright, E.M. Wright, E.M. Wright, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, J.D. Murray, K.B. Oldham, K.S. Miller, L. Debnath, M. Caputo, M.G. Mittag-Leffler, M.G. Mittag-Leffler, M.M. Dzherbashyan, M.M. Dzherbashyan, R. K. Saxena, R. Metzler, R. Metzler, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.M. Kulsrud, S. Jespersen, S.G. Samko, W. Hundsdorfer, Y. Kuramoto   +47 more
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