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Journal articles on the topic 'Reaction-diffusion'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Slijepčević, Siniša. "Entropy of scalar reaction-diffusion equations." Mathematica Bohemica 139, no. 4 (2014): 597–605. http://dx.doi.org/10.21136/mb.2014.144137.

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2

Dalík, Josef. "A Petrov-Galerkin approximation of convection-diffusion and reaction-diffusion problems." Applications of Mathematics 36, no. 5 (1991): 329–54. http://dx.doi.org/10.21136/am.1991.104471.

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3

Gurevich, Pavel, and Sergey Tikhomirov. "Systems of reaction-diffusion equations with spatially distributed hysteresis." Mathematica Bohemica 139, no. 2 (2014): 239–57. http://dx.doi.org/10.21136/mb.2014.143852.

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4

Drábek, Pavel, Milan Kučera, and Marta Míková. "Bifurcation points of reaction-diffusion systems with unilateral conditions." Czechoslovak Mathematical Journal 35, no. 4 (1985): 639–60. http://dx.doi.org/10.21136/cmj.1985.102055.

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5

Mustafa, Alaa, Ehssan Omer, Nuha Alalam, and Safwa Yacoup. "Awavelet Methodologies for Solving Reaction-Diffusion Complications in Science." International Journal of Research Publication and Reviews 5, no. 8 (2024): 572–76. http://dx.doi.org/10.55248/gengpi.5.0824.2012.

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6

Trimper, Steffen, Uwe C. Täuber, and Gunter M. Schütz. "Reaction-controlled diffusion." Physical Review E 62, no. 5 (2000): 6071–77. http://dx.doi.org/10.1103/physreve.62.6071.

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7

Witkin, Andrew, and Michael Kass. "Reaction-diffusion textures." ACM SIGGRAPH Computer Graphics 25, no. 4 (1991): 299–308. http://dx.doi.org/10.1145/127719.122750.

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8

Henry, B. I., and S. L. Wearne. "Fractional reaction–diffusion." Physica A: Statistical Mechanics and its Applications 276, no. 3-4 (2000): 448–55. http://dx.doi.org/10.1016/s0378-4371(99)00469-0.

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9

Nicolis, Gregoire, and Anne Wit. "Reaction-diffusion systems." Scholarpedia 2, no. 9 (2007): 1475. http://dx.doi.org/10.4249/scholarpedia.1475.

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10

Chen, Mufa. "Reaction-diffusion processes." Chinese Science Bulletin 43, no. 17 (1998): 1409–20. http://dx.doi.org/10.1007/bf02884118.

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11

Eisner, Jan. "Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions." Mathematica Bohemica 125, no. 4 (2000): 385–420. http://dx.doi.org/10.21136/mb.2000.126272.

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12

Wang, Liancheng, and Michael Y. Li. "Diffusion-Driven Instability in Reaction–Diffusion Systems." Journal of Mathematical Analysis and Applications 254, no. 1 (2001): 138–53. http://dx.doi.org/10.1006/jmaa.2000.7220.

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13

Aghamohammadi, A., A. H. Fatollahi, M. Khorrami, and A. Shariati. "Multispecies reaction-diffusion systems." Physical Review E 62, no. 4 (2000): 4642–49. http://dx.doi.org/10.1103/physreve.62.4642.

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14

Wei, G. W. "Generalized reaction–diffusion equations." Chemical Physics Letters 303, no. 5-6 (1999): 531–36. http://dx.doi.org/10.1016/s0009-2614(99)00270-5.

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15

Freidlin, Mark. "Coupled Reaction-Diffusion Equations." Annals of Probability 19, no. 1 (1991): 29–57. http://dx.doi.org/10.1214/aop/1176990535.

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16

McGraw, Tim. "Generalized reaction–diffusion textures." Computers & Graphics 32, no. 1 (2008): 82–92. http://dx.doi.org/10.1016/j.cag.2007.09.002.

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17

Singh, Rishi P., and Alan Lawley. "Discussion of “Diffusion reaction." Metallurgical Transactions A 23, S1 (1992): 3393. http://dx.doi.org/10.1007/bf03024547.

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18

Saxena, R. K., A. M. Mathai, and H. J. Haubold. "Fractional Reaction-Diffusion Equations." Astrophysics and Space Science 305, no. 3 (2006): 289–96. http://dx.doi.org/10.1007/s10509-006-9189-6.

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19

McDermott, Sean, Anthony J. Mulholland, and Jagannathan Gomatam. "Knotted reaction—diffusion waves." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 458, no. 2028 (2002): 2947–66. http://dx.doi.org/10.1098/rspa.2002.0997.

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20

Liang, Ping. "Neurocomputation by Reaction Diffusion." Physical Review Letters 75, no. 9 (1995): 1863–66. http://dx.doi.org/10.1103/physrevlett.75.1863.

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21

Seki, Kazuhiko, Mariusz Wojcik, and M. Tachiya. "Fractional reaction-diffusion equation." Journal of Chemical Physics 119, no. 4 (2003): 2165–70. http://dx.doi.org/10.1063/1.1587126.

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22

ASAI, TETSUYA. "Reaction-Diffusion Systems: Nonlinear Dynamics in Nature and Life. Reaction Diffusion Chips." Journal of the Institute of Electrical Engineers of Japan 121, no. 4 (2001): 253–57. http://dx.doi.org/10.1541/ieejjournal.121.253.

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23

Bothe, Dieter, Michel Pierre, and Guillaume Rolland. "Cross-Diffusion Limit for a Reaction-Diffusion System with Fast Reversible Reaction." Communications in Partial Differential Equations 37, no. 11 (2012): 1940–66. http://dx.doi.org/10.1080/03605302.2012.715706.

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24

Manthey, Ralf, and Katrin Mittmann. "Stochastic reaction-diffusion equations with continuous reaction." Stochastics and Stochastic Reports 48, no. 1-2 (1994): 61–82. http://dx.doi.org/10.1080/17442509408833898.

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25

Lindenberg, Katja, Panos Argyrakis, and Raoul Kopelman. "Reaction-Diffusion Model for A + A Reaction." Journal of Physical Chemistry 99, no. 19 (1995): 7542–56. http://dx.doi.org/10.1021/j100019a041.

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26

Dúzs, Brigitta, and István Szalai. "Reaction–diffusion phenomena in antagonistic bipolar diffusion fields." Physical Chemistry Chemical Physics 24, no. 3 (2022): 1814–20. http://dx.doi.org/10.1039/d1cp04662d.

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The bipolar antagonistic diffusion field spatially localizes the intermediates of a reaction. This bipolar spatial control results in localized wave phenomena in a nonlinear activatory–inhibitory reaction.

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27

Borina, Maria Yur'evna, and A. A. Polezhaev. "Diffusion instability in a threevariable reaction-diffusion model." Computer Research and Modeling 3, no. 2 (2011): 135–46. http://dx.doi.org/10.20537/2076-7633-2011-3-2-135-146.

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28

Murakawa, Hideki. "A relation between cross-diffusion and reaction-diffusion." Discrete & Continuous Dynamical Systems - S 5, no. 1 (2012): 147–58. http://dx.doi.org/10.3934/dcdss.2012.5.147.

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29

Pomeau, Yves. "Diffusion and reaction–diffusion in fast cellular flows." Chaos: An Interdisciplinary Journal of Nonlinear Science 14, no. 3 (2004): 903–9. http://dx.doi.org/10.1063/1.1772191.

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30

Einav, Amit, Jeffrey J. Morgan, and Bao Q. Tang. "Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems." SIAM Journal on Mathematical Analysis 52, no. 5 (2020): 4314–61. http://dx.doi.org/10.1137/20m1319930.

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31

Doremus, Robert H. "Diffusion of hydrogen in silicon: Diffusion-reaction model." Materials Research Innovations 4, no. 1 (2000): 49–59. http://dx.doi.org/10.1007/s100190000068.

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32

Ma, Man-jun, Jia-jia Hu, Jun-jie Zhang, and Ji-cheng Tao. "A reaction-diffusion model with nonlinearity driven diffusion." Applied Mathematics-A Journal of Chinese Universities 28, no. 3 (2013): 290–302. http://dx.doi.org/10.1007/s11766-013-2966-4.

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33

Bueno-Orovio, Alfonso, and Kevin Burrage. "Complex-order fractional diffusion in reaction-diffusion systems." Communications in Nonlinear Science and Numerical Simulation 119 (May 2023): 107120. http://dx.doi.org/10.1016/j.cnsns.2023.107120.

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34

M. Rasheed, Shaker. "Travelling wave solutions of a Reaction-Diffusion System: Slow Reaction and Slow Diffusion." IOSR Journal of Engineering 4, no. 1 (2014): 40–45. http://dx.doi.org/10.9790/3021-04144045.

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35

Kostré, Margarita, Christof Schütte, Frank Noé, and Mauricio J. del Razo. "Coupling Particle-Based Reaction-Diffusion Simulations with Reservoirs Mediated by Reaction-Diffusion PDEs." Multiscale Modeling & Simulation 19, no. 4 (2021): 1659–83. http://dx.doi.org/10.1137/20m1352739.

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36

Rodríguez-Bernal, Aníbal, and Silvia Sastre-Gómez. "Nonlinear nonlocal reaction-diffusion problem with local reaction." Discrete & Continuous Dynamical Systems 42, no. 4 (2022): 1731. http://dx.doi.org/10.3934/dcds.2021170.

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<p style='text-indent:20px;'>In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces. We find certain classes of nonlinear terms, including logistic type terms, for which solutions are globally defined with initial data in Lebesgue spaces. We prove solutions satisfy maximum and comparison principles and give sign conditions to ensure global asymptotic bounds for large times. We also prove that these problems possess extremal ordered equilibria and solutions, asymptotically, enter in between these equi

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37

Nałęcz-Jawecki, Paweł, Paulina Szymańska, Marek Kochańczyk, Jacek Miękisz, and Tomasz Lipniacki. "Effective reaction rates for diffusion-limited reaction cycles." Journal of Chemical Physics 143, no. 21 (2015): 215102. http://dx.doi.org/10.1063/1.4936131.

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38

Bothe, D., and D. Hilhorst. "A reaction–diffusion system with fast reversible reaction." Journal of Mathematical Analysis and Applications 286, no. 1 (2003): 125–35. http://dx.doi.org/10.1016/s0022-247x(03)00457-8.

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39

Vannini, Endrio. "A reaction-diffusion problem with a reaction front." Mathematical Methods in the Applied Sciences 21, no. 5 (1998): 417–32. http://dx.doi.org/10.1002/(sici)1099-1476(19980325)21:5<417::aid-mma959>3.0.co;2-9.

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40

Balding, David. "Diffusion-reaction in one dimension." Journal of Applied Probability 25, no. 4 (1988): 733–43. http://dx.doi.org/10.2307/3214294.

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One-dimensional, periodic and annihilating systems of Brownian motions and random walks are defined and interpreted in terms of sizeless particles which vanish on contact. The generating function and moments of the number pairs of particles which have vanished, given an arbitrary initial arrangement, are derived in terms of known two-particle survival probabilities. Three important special cases are considered: Brownian motion with the particles initially (i) uniformly distributed and (ii) equally spaced on a circle and (iii) random walk on a lattice with initially each site occupied. Results

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41

d'Heurle, François M., Patrick Gas, and Jean Philibert. "Diffusion-Reaction: Growth and Nucleation." Defect and Diffusion Forum 143-147 (January 1997): 529–40. http://dx.doi.org/10.4028/www.scientific.net/ddf.143-147.529.

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42

Gusak, Andriy, A. O. Kovalchuk, and King Ning Tu. "Diffusion in Point Contact Reaction." Defect and Diffusion Forum 309-310 (March 2011): 143–48. http://dx.doi.org/10.4028/www.scientific.net/ddf.309-310.143.

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Recently) the point contact reactions between silicon nanowires (covered by natural oxide) and nanowires or nanodots of metals (nickel, cobalt, platinum) were discovered and studied. These reactions have at least three remarkable characteristics: (1) the reaction product phase is quite different from thin film or bulk reactions (for example, in Ni-Si reaction the appearing phase is Ni1Si1 or Ni1Si2, depending on the orientation of Si, instead of common Ni2Si phase); (2) Phase is formed not in the contact zone but, instead, near the wire tip or between two point contacts; (3) Subsequent phase g

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43

Polyanin, A. D., A. I. Zhurov, and A. V. Vyazmin. "Time-Delayed Reaction-Diffusion Equations." Vestnik Tambovskogo gosudarstvennogo tehnicheskogo universiteta 21, no. 1 (2015): 071–77. http://dx.doi.org/10.17277/vestnik.2015.01.pp.071-077.

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44

Ozaki, J., M. Hirata, and S. Kondo. "Reaction-diffusion control in somitogenesis." Seibutsu Butsuri 41, supplement (2001): S186. http://dx.doi.org/10.2142/biophys.41.s186_4.

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45

Shamseldeen, Samir A. "Instabilities in reaction-diffusion systems." Applied Mathematical Sciences 8 (2014): 7703–13. http://dx.doi.org/10.12988/ams.2014.49762.

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46

Adamatzky, Andrew. "Topics in Reaction-Diffusion Computers." Journal of Computational and Theoretical Nanoscience 8, no. 3 (2011): 295–303. http://dx.doi.org/10.1166/jctn.2011.1693.

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47

Hutson, V., and W. Moran. "Repellers in reaction–diffusion systems." Rocky Mountain Journal of Mathematics 17, no. 2 (1987): 301–14. http://dx.doi.org/10.1216/rmj-1987-17-2-301.

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48

Bobisud, L. E. "Steady-state reaction-diffusion systems." Applicable Analysis 20, no. 1-2 (1985): 151–64. http://dx.doi.org/10.1080/00036818508839566.

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49

Allena, R., J. J. Muñoz, and D. Aubry. "Diffusion-reaction model forDrosophilaembryo development." Computer Methods in Biomechanics and Biomedical Engineering 16, no. 3 (2013): 235–48. http://dx.doi.org/10.1080/10255842.2011.616944.

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50

Elderfield, D., and M. Wilby. "Scaling in reaction-diffusion systems." Journal of Physics A: Mathematical and General 20, no. 2 (1987): L77—L83. http://dx.doi.org/10.1088/0305-4470/20/2/007.

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