Relevant bibliographies by topics / Reaction-diffusion waves

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  2. Dissertations / Theses
  3. Books
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Academic literature on the topic 'Reaction-diffusion waves'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Reaction-diffusion waves"

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Sherratt, Jonathan A. "Irregular wakes in reaction-diffusion waves." Physica D: Nonlinear Phenomena 70, no. 4 (1994): 370–82. http://dx.doi.org/10.1016/0167-2789(94)90072-8.

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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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Volpert, V., and S. Petrovskii. "Reaction–diffusion waves in biology." Physics of Life Reviews 6, no. 4 (2009): 267–310. http://dx.doi.org/10.1016/j.plrev.2009.10.002.

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Clavin, P. "Flames and Reaction-Diffusion Waves (Abstract)." Materials Science Forum 155-156 (May 1994): 445–46. http://dx.doi.org/10.4028/www.scientific.net/msf.155-156.445.

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Bland, J. A., and J. Smoller. "Shock Waves and Reaction-Diffusion Equations." Mathematical Gazette 69, no. 447 (1985): 70. http://dx.doi.org/10.2307/3616482.

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Keyfitz, Barbara Lee, and Joel Smoller. "Shock Waves and Reaction-Diffusion Equations." American Mathematical Monthly 93, no. 4 (1986): 315. http://dx.doi.org/10.2307/2323701.

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Galochkina, Tatiana, Anass Bouchnita, Polina Kurbatova, and Vitaly Volpert. "Reaction-diffusion waves of blood coagulation." Mathematical Biosciences 288 (June 2017): 130–39. http://dx.doi.org/10.1016/j.mbs.2017.03.008.

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Abe, Yotaro, and Ryo Yoshida. "Dancing Waves in Reaction−Diffusion Systems." Journal of Physical Chemistry A 109, no. 17 (2005): 3773–76. http://dx.doi.org/10.1021/jp050075v.

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Saxena, R. K., A. M. Mathai, and H. J. Haubold. "Reaction-Diffusion Systems and Nonlinear Waves." Astrophysics and Space Science 305, no. 3 (2006): 297–303. http://dx.doi.org/10.1007/s10509-006-9190-0.

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Apreutesei, Narcisa, and Vitaly Volpert. "Reaction-diffusion waves with nonlinear boundary conditions." Networks & Heterogeneous Media 8, no. 1 (2013): 23–35. http://dx.doi.org/10.3934/nhm.2013.8.23.

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Dissertations / Theses on the topic "Reaction-diffusion waves"

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Aldurayhim, Abdullah Mohammed. "Propagating waves in reaction cross-diffusion systems." Thesis, University of Exeter, 2017. http://hdl.handle.net/10871/31129.

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This research focuses on the reaction diffusion systems where the matrix of diffusion co- efficients is not diagonal. We call these systems reaction cross-diffusion systems. These systems possess interesting solutions that do not appear in the reaction self-diffusion systems that have a diagonal diffusion matrix. Compared to research conducted on re- action self-diffusion systems, the reaction cross-diffusion systems have received little attentions. The aim of this research is to extend existing literature on these systems. In this thesis we considered two-components reaction cross-diffusion s
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Fullwood, Timothy Brent. "Pattern formation and travelling waves in reaction-diffusion equations." Thesis, University of Warwick, 1995. http://wrap.warwick.ac.uk/4251/.

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This thesis is about pattern formation in reaction - diffusion equations, particularly Turing patterns and travelling waves. In chapter one we concentrate on Turing patterns. We give the classical approach to proving the existence of these patterns, and then our own, which uses the reversibility of the associated travelling wave equations when the wave speed is zero. We use a Lyapunov - Schmidt reduction to prove the existence of periodic solutions when there is a purely imaginary eigenvalue. We pay particular attention to the bifurcation point where these patterns arise, the 1: 1 resonance. W
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Hahn, Philip James. "Origination and Propagation of Reaction Diffusion Waves in Three Spatial Dimensions." Cleveland, Ohio : Case Western Reserve University, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=case1091809306.

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Thesis(Ph.D.)--Case Western Reserve University, 2004<br>Title from PDF (viewed on 2009-11-23) Department of Mathematics Includes abstract Includes bibliographical references and appendices Available online via the OhioLINK ETD Center
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Carter, Mark. "Diffraction, interaction and core dynamics of reaction-diffusion waves : eikonal solutions." Thesis, Glasgow Caledonian University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267507.

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McDermott, Sean. "Reaction-diffusion waves on toroidal manifolds : eikonal and concomitant numerical solutions." Thesis, Glasgow Caledonian University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395793.

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Hahn, Philip James. "Origination and propagation of reaction diffusion waves in three spatial dimensions." online version, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=case1091809306.

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McCabe, Philip M. "The mathematical analysis of a class of singular reaction-diffusion systems." Thesis, University of Reading, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301978.

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Franz, David, and University of Lethbridge Faculty of Arts and Science. "Turing patterns in linear chemical reaction systems with nonlinear cross diffusion." Thesis, Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2007, 2007. http://hdl.handle.net/10133/659.

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Turing patterns have been studied for over 50 years as a pattern forming mechanism. To date the current focus has been on the reaction mechanism, with little to no emphasis on the diffusion terms. This work focuses on combining the simplest reaction mechanism possible and the use of nonlinear cross diffusion to form Turing patterns. We start by using two methods of bifurcation analysis to show that our model can form a Turing instability. A diffusion model (along with some variants) is then presented along with the results of numerical simulations. Various tests on both the numerical methods a
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Haaf, Hermann. "Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.387347.

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Ho, William Ka Wing. "Organisation of the feather periodic pattern through propagating molecular waves." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/25777.

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Members of the class Aves possess integumentary structures which distinguish them from other vertebrate lineages. The characteristic integumentary structure that defines the Aves from other vertebrates are the feathers, whose functions include insulation, camouflage, visual display, gliding, and powered flight. The recent discoveries of theropod dinosaur fossils displaying feather-like structures have led to interest in the morphological innovations of the feathers, which are associated with the evolution of flight in Aves. Most modern birds, display a highly ordered, hexagonal arrangement of
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Books on the topic "Reaction-diffusion waves"

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Shock waves and reaction-diffusion equations. 2nd ed. Springer-Verlag, 1994.

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Smoller, Joel. Shock Waves and Reaction—Diffusion Equations. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0873-0.

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Gilding, Brian H. Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004.

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Gilding, Brian H., and Robert Kersner, eds. Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4.

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Grindrod, Peter. The theory and applications of reaction-diffusion equations: Patterns and waves. 2nd ed. Clarendon Press, 1996.

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Patterns and waves: The theory and applications of reaction-diffusion equations. Clarendon Press, 1991.

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Fullwood, Timothy Brent. Pattern formation and travelling waves in reaction: Diffusion equations. typescript, 1995.

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Grindrod, Peter. Patternsand waves: The theory and applications of reaction-diffusion equations. Clarendon Press, 1991.

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Haaf, Hermann. Existence of periodic travelling waves to reaction-diffusion equations with excitable-oscillatory kinetics. typescript, 1993.

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Zhao, Huaizhong. The stochastic elementary formula method and approximate travelling waves for semi-linear reaction diffusion equations. typescript, 1994.

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Book chapters on the topic "Reaction-diffusion waves"

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Gilding, Brian H., and Robert Kersner. "Reaction-diffusion." In Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_6.

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Gilding, Brian H., and Robert Kersner. "Unbounded waves." In Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_11.

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Gilding, Brian H., and Robert Kersner. "Travelling waves." In Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_4.

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Gilding, Brian H., and Robert Kersner. "Wavefronts for reaction-diffusion." In Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_10.

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Scott, Stephen K., and Kenneth Showalter. "Simple and Complex Reaction-Diffusion Fronts." In Chemical Waves and Patterns. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-1156-0_15.

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Gilding, Brian H., and Robert Kersner. "Convection-diffusion." In Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_5.

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Dold, J. W. "Observations on the Nature of Reaction Runaway in Reaction-Diffusion Systems." In Nonlinear Waves in Active Media. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74789-2_28.

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Gilding, Brian H., and Robert Kersner. "Wavefronts for convection-diffusion." In Travelling Waves in Nonlinear Diffusion-Convection Reaction. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_9.

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Sevcikova, H., and M. Marek. "Echo Waves in Reaction-Diffusion Excitable Systems." In Bifurcation and Chaos: Analysis, Algorithms, Applications. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-7004-7_42.

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Murray, James D. "Biological Waves: Multi-species Reaction Diffusion Models." In Mathematical Biology. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-08539-4_12.

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Conference papers on the topic "Reaction-diffusion waves"

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Imamura, Kouya, and Kunimochi Sakamoto. "TRAVELLING PULSE WAVES NON-VANISHING AT INFINITY FOR THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0010.

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Shchepakina, Elena. "Canard Traveling Waves in a Reaction–Diffusion Model." In 2020 International Conference on Information Technology and Nanotechnology (ITNT). IEEE, 2020. http://dx.doi.org/10.1109/itnt49337.2020.9253177.

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VOLPERT, V. "REACTION-DIFFUSION WAVES: CLASSICAL THEORY AND RECENT DEVELOPMENTS." In International Symposium on Mathematical and Computational Biology. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814271820_0001.

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Koga, Shinji. "On rotating spiral waves in reaction-diffusion systems." In Slow dynamics in condensed matter. AIP, 1992. http://dx.doi.org/10.1063/1.42419.

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Schecter, Stephen, Dan Marchesin, Lucas Furtado, and Grigori Chapiro. "Stability of interacting traveling waves in reaction-convection-diffusion systems." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0258.

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Escobar, Sergio, Suryanarayana R. Pakalapati, Ismail Celik, Donald Ferguson, and Peter Strakey. "Numerical Investigation of Rotating Detonation Combustion in Annular Chambers." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94918.

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This article presents two dimensional (2D) and three-dimensional (3D) computational analysis of rotating detonation combustion (RDC) in annular chambers using the commercial computational fluid dynamics (CFD) solver ANSYS-Fluent V13. The applicability of ANSYS-Fluent to predict the predominant phenomena taking place in the combustion chamber of a rotating detonation combustor is assessed. Simulations are performed for stoichiometric Hydrogen-Air combustion using two different chemical mechanisms. First, a widely used one-step reaction mechanism that uses mass fraction of the reactant as a prog
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GEORGI, M., and N. JANGLE. "SPIRAL WAVE MOTION IN REACTION-DIFFUSION SYSTEMS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0108.

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CURRÒ, CARMELA, ELVIRA BARBERA, and GIOVANNA VALENTI. "TRAVELLING WAVE SOLUTIONS FOR HYPERBOLIC REACTION-DIFFUSION MODELS." In Proceedings of the 15th Conference on WASCOM 2009. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814317429_0004.

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Ge, Zhihao. "Monotone Traveling Wave Solution for a Delayed Reaction-Diffusion Equations." In 2010 International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2010. http://dx.doi.org/10.1109/iwcfta.2010.13.

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Yang, Zhiguo. "Existence of traveling wave solutions of a kind of reaction-diffusion equations with delays." In 2013 Sixth International Conference on Advanced Computational Intelligence (ICACI). IEEE, 2013. http://dx.doi.org/10.1109/icaci.2013.6748534.

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Reports on the topic "Reaction-diffusion waves"

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Mischaikow, Konstantin. Classification of Traveling Wave Solutions of Reaction-Diffusion Systems. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada167101.

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