Academic literature on the topic 'Reaction-diffusion'
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Journal articles on the topic "Reaction-diffusion"
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.
Full textDalík, 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.
Full textGurevich, 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.
Full textDrábek, 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.
Full textTrimper, Steffen, Uwe C. Täuber, and Gunter M. Schütz. "Reaction-controlled diffusion." Physical Review E 62, no. 5 (November 1, 2000): 6071–77. http://dx.doi.org/10.1103/physreve.62.6071.
Full textWitkin, Andrew, and Michael Kass. "Reaction-diffusion textures." ACM SIGGRAPH Computer Graphics 25, no. 4 (July 2, 1991): 299–308. http://dx.doi.org/10.1145/127719.122750.
Full textHenry, B. I., and S. L. Wearne. "Fractional reaction–diffusion." Physica A: Statistical Mechanics and its Applications 276, no. 3-4 (February 2000): 448–55. http://dx.doi.org/10.1016/s0378-4371(99)00469-0.
Full textNicolis, Gregoire, and Anne Wit. "Reaction-diffusion systems." Scholarpedia 2, no. 9 (2007): 1475. http://dx.doi.org/10.4249/scholarpedia.1475.
Full textChen, Mufa. "Reaction-diffusion processes." Chinese Science Bulletin 43, no. 17 (September 1998): 1409–20. http://dx.doi.org/10.1007/bf02884118.
Full textEisner, 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.
Full textDissertations / Theses on the topic "Reaction-diffusion"
He, Taiping. "Reaction-Diffusion Systems with Discontinuous Reaction Functions." NCSU, 2005. http://www.lib.ncsu.edu/theses/available/etd-03192005-101102/.
Full textYangari, Sosa Miguel Ángel. "Fractional reaction-diffusion problems." Tesis, Universidad de Chile, 2014. http://www.repositorio.uchile.cl/handle/2250/115538.
Full textThis thesis deals with two different problems: in the first one, we study the large-time behavior of solutions of one-dimensional fractional Fisher-KPP reaction diffusion equations, when the initial condition is asymptotically front-like and it decays at infinity more slowly than a power x^b, where b < 2\alpha and \alpha\in (0,1) is the order of the fractional Laplacian (Chapter 2); in the second problem, we study the time asymptotic propagation of solutions to the fractional reaction diffusion cooperative systems (Chapter 3). For the first problem, we prove that the level sets of the solutions move exponentially fast as time goes to infinity. Moreover, a quantitative estimate of motion of the level sets is obtained in terms of the decay of the initial condition. In the second problem, we prove that the propagation speed is exponential in time, and we find a precise exponent depending on the smallest index of the fractional laplacians and of the nonlinearity, also we note that it does not depend on the space direction.
Yangari, Sosa Miguel Angel. "Fractional reaction-diffusion problems." Toulouse 3, 2014. http://thesesups.ups-tlse.fr/2270/.
Full textThis thesis deals with two different problems: in the first one, we study the large-time behavior of solutions of one-dimensional fractional Fisher-KPP reaction diffusion equations, when the initial condition is asymptotically front-like and it decays at infinity more slowly than a power , where and is the order of the fractional Laplacian (Chapter 2); in the second problem, we study the time asymptotic propagation of solutions to the fractional reaction diffusion cooperative systems (Chapter 3). For the first problem, we prove that the level sets of the solutions move exponentially fast as time goes to infinity. Moreover, a quantitative estimate of motion of the level sets is obtained in terms of the decay of the initial condition. In the second problem, we prove that the propagation speed is exponential in time, and we find a precise exponent depending on the smallest index of the fractional laplacians and of the nonlinearity, also we note that it does not depend on the space direction
Coulon, Anne-Charline. "Propagation in reaction-diffusion equations with fractional diffusion." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/277576.
Full textEsta tesis se centra en el comportamiento en tiempos grandes de las soluciones de la ecuación de Fisher- KPP de reacción-difusión con difusión fraccionaria. Este tipo de ecuación surge, por ejemplo, en la propagación espacial o en la propagación de especies biológicas (ratas, insectos,...). En la dinámica de poblaciones, la cantidad que se estudia representa la densidad de la población. Es conocido que, bajo algunas hipótesis específicas, la solución tiende a un estado estable del problema de evolución, cuando el tiempo tiende a infinito. En otras palabras, la población invade el medio, lo que corresponde a la supervivencia de la especie, y nosotros queremos entender con qué velocidad se lleva a cabo esta invasión. Para responder a esta pregunta, hemos creado un nuevo método para estudiar la velocidad de propagación cuando se consideran difusiones fraccionarias, además hemos aplicado este método en tres problemas diferentes. La Parte I de la tesis está dedicada al análisis de la ubicación asintótica de los conjuntos de nivel de la solución de dos problemas diferentes: modelos de Fisher- KPP en medios periódicos y sistemas cooperativos, ambos consideran difusión fraccionaria. En el primer modelo, se prueba que, bajo ciertas hipótesis sobre el medio periódico, la solución se propaga exponencialmente rápido en el tiempo, además encontramos el exponente exacto que aparece en esta velocidad de propagación exponencial. También llevamos a cabo simulaciones numéricas para investigar la dependencia de la velocidad de propagación con la condición inicial. En el segundo modelo, se prueba que la velocidad de propagación es nuevamente exponencial en el tiempo, con un exponente que depende del índice más pequeño de los Laplacianos fraccionarios y también del término de reacción. La Parte II de la tesis ocurre en un entorno de dos dimensiones, donde se reproduce un tipo ecuación de Fisher- KPP con difusión estándar, excepto en una línea del plano, en el que la difusión fraccionada aparece. El plano será llamado "campo" y la línea "camino", como una referencia a las situaciones biológicas que tenemos en mente. De hecho, desde hace tiempo se sabe que la difusión rápida en los caminos puede causar un efecto en la propagación de epidemias. Probamos que la velocidad de propagación es exponencial en el tiempo en el camino, mientras que depende linealmente del tiempo en el campo. Contrariamente a los precisos exponentes obtenidos en la Parte I, para este modelo, no fuimos capaces de dar una localización exacta de los conjuntos de nivel en la carretera y en el campo. La forma de propagación de los conjuntos de nivel en el campo se investiga a través de simulaciones numéricas
Benson, Debbie Lisa. "Reaction diffusion models with spatially inhomogeneous diffusion coefficients." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239337.
Full textFei, Ning Fei. "Studies in reaction-diffusion equations." Thesis, Heriot-Watt University, 2003. http://hdl.handle.net/10399/310.
Full textGrant, Koryn. "Symmetries and reaction-diffusion equations." Thesis, University of Kent, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.264601.
Full textFrömberg, Daniela. "Reaction Kinetics under Anomalous Diffusion." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2011. http://dx.doi.org/10.18452/16374.
Full textThe present work studies the generalization of reaction-diffusion schemes to subdiffusion. The subdiffusive dynamics was modelled by means of continuous-time random walks on a mesoscopic scale with a heavy-tailed waiting time pdf lacking the first moment. The reaction was assumed to take place on a microscopic scale, i.e. during the waiting times, obeying the mass action law. The resultant equations are of integro-differential form, and the reaction explicitly affects the transport term. The long ranged memory of the subdiffusion kernel is modified by a factor accounting for the reaction of particles during the waiting times. The degradation A->0 was considered and a general expression for the solution to arbitrary Dirichlet Boundary Value Problems was derived. For stationary solutions to exist in reaction-subdiffusion, the assumption of reactions according to classical rate kinetics is essential. As an example for a nonlinear reaction-subdiffusion system, the irreversible autocatalytic reaction A+B->2A under subdiffusion is considered. A subdiffusive analogue of the classical Fisher-Kolmogorov-Petrovskii-Piscounov (FKPP) equation was derived and the resultant propagating fronts were studied. Two different regimes were detected in numerical simulations, and were discussed using both crossover arguments and analytic calculations. The first regime is characterized by a decaying front velocity and width. The fluctuation dominated regime is not within the scope of the continuous description. The velocity of the front decays faster in time than in the continuous regime, and the front is atomically sharp. Another setup where reactants A penetrate a medium initially filled with immobile reactants B and react according to the scheme A+B->(inert) was also considered. This problem was approximately described in terms of a moving boundary problem (Stefan-problem). The theoretical predictions concerning the moving boundary were corroborated by numerical simulations.
Coulon, Chalmin Anne-Charline. "Fast propagation in reaction-diffusion equations with fractional diffusion." Toulouse 3, 2014. http://thesesups.ups-tlse.fr/2427/.
Full textThis thesis focuses on the long time behaviour, and more precisely on fast propagation, in Fisher-KPP reaction diffusion equations involving fractional diffusion. This type of equation arises, for example, in spreading of biological species. Under some specific assumptions, the population invades the medium and we want to understand at which speed this invasion takes place when fractional diffusion is at stake. To answer this question, we set up a new method and apply it on different models. In a first part, we study two different problems, both including fractional diffusion : Fisher-KPP models in periodic media and cooperative systems. In both cases, we prove, under additional assumptions, that the solution spreads exponentially fast in time and we find the precise exponent of propagation. We also carry out numerical simulations to investigate the dependence of the speed of propagation on the initial condition. In a second part, we deal with a two dimensional environment, where reproduction of Fisher-KPP type and usual diffusion occur, except on a line of the plane, on which fractional diffusion takes place. The plane is referred to as "the field" and the line to "the road", as a reference to the biological situations we have in mind. We prove that the speed of propagation is exponential in time on the road, whereas it depends linearly on time in the field. The expansion shape of the level sets in the field is investigated through numerical simulations
Coville, Jerome. "Equations de reaction diffusion non-locale." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2003. http://tel.archives-ouvertes.fr/tel-00004313.
Full textBooks on the topic "Reaction-diffusion"
Ben, De Lacy Costello, and Asai Tetsuya, eds. Reaction-diffusion computers. Boston: Elsevier, 2005.
Find full text1955-, Caristi Gabriella, and Mitidieri Enzo, eds. Reaction diffusion systems. New York: Marcel Dekker, 1998.
Find full textCherniha, Roman, and Vasyl' Davydovych. Nonlinear Reaction-Diffusion Systems. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65467-6.
Full textJ, Brown K., Lacey A. A, and Heriot-Watt University. Dept. of Mathematics., eds. Reaction-diffusion equations: The proceedings of a symposium year on reaction-diffusion equations. Oxford [England]: Clarendon Press, 1990.
Find full textLam, King-Yeung, and Yuan Lou. Introduction to Reaction-Diffusion Equations. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-20422-7.
Full textViehland, Larry A. Gaseous Ion Mobility, Diffusion, and Reaction. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04494-7.
Full textSmoller, Joel. Shock Waves and Reaction—Diffusion Equations. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0873-0.
Full textAdamatzky, Andrew. Reaction-Diffusion Automata: Phenomenology, Localisations, Computation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31078-2.
Full textLiehr, Andreas W. Dissipative Solitons in Reaction Diffusion Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31251-9.
Full textHemming, Christopher John. Resonantly forced inhomogeneous reaction-diffusion systems. Ottawa: National Library of Canada, 2000.
Find full textBook chapters on the topic "Reaction-diffusion"
Gilding, Brian H., and Robert Kersner. "Reaction-diffusion." In Travelling Waves in Nonlinear Diffusion-Convection Reaction, 43–57. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7964-4_6.
Full textAdamatzky, Andrew, and Benjamin De Lacy Costello. "Reaction–Diffusion Computing." In Handbook of Natural Computing, 1897–920. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-540-92910-9_56.
Full textScherer, Philipp, and Sighart F. Fischer. "Reaction–Diffusion Systems." In Biological and Medical Physics, Biomedical Engineering, 147–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-85610-8_13.
Full textDeng, Yansha. "Reaction-Diffusion Channels." In Encyclopedia of Wireless Networks, 1179–82. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-319-78262-1_216.
Full textMei, Zhen. "Reaction-Diffusion Equations." In Numerical Bifurcation Analysis for Reaction-Diffusion Equations, 1–6. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04177-2_1.
Full textTomé, Tânia, and Mário J. de Oliveira. "Reaction-Diffusion Processes." In Graduate Texts in Physics, 351–60. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11770-6_16.
Full textAdamatzky, Andrew, and Benjamin De Lacy Costello. "Reaction-Diffusion Computing." In Encyclopedia of Complexity and Systems Science, 1–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-642-27737-5_446-3.
Full textDeng, Yansha. "Reaction-Diffusion Channels." In Encyclopedia of Wireless Networks, 1–4. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-32903-1_216-1.
Full textDa Prato, Giuseppe. "Reaction-Diffusion Equations." In Kolmogorov Equations for Stochastic PDEs, 99–130. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7909-5_4.
Full textSalsa, Sandro, Federico M. G. Vegni, Anna Zaretti, and Paolo Zunino. "Reaction-diffusion models." In UNITEXT, 139–88. Milano: Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2862-3_5.
Full textConference papers on the topic "Reaction-diffusion"
Witkin, Andrew, and Michael Kass. "Reaction-diffusion textures." In the 18th annual conference. New York, New York, USA: ACM Press, 1991. http://dx.doi.org/10.1145/122718.122750.
Full textMesquita, D., and M. Walter. "Reaction-diffusion Woodcuts." In 14th International Conference on Computer Graphics Theory and Applications. SCITEPRESS - Science and Technology Publications, 2019. http://dx.doi.org/10.5220/0007385900890099.
Full textChen, Chao-Nien, Tzyy-Leng Horng, Daniel Lee, and Chen-Hsing Tsai. "A NOTE ON REACTION-DIFFUSION SYSTEMS WITH SKEW-GRADIENT STRUCTURE." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0002.
Full textNomura, Atsushi, Makoto Ichikawa, Koichi Okada, Hidetoshi Miike, Tatsunari Sakurai, and Yoshiki Mizukami. "Anisotropic reaction-diffusion stereo algorithm." In 2011 11th International Conference on Intelligent Systems Design and Applications (ISDA). IEEE, 2011. http://dx.doi.org/10.1109/isda.2011.6121735.
Full textTimofte, Claudia, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Upscaling in Reaction-Diffusion Problems." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790202.
Full textRamos, Juan I. "REACTION-DIFFUSION PHENOMENA WITH RELAXATION." In Proceedings of CHT-12. ICHMT International Symposium on Advances in Computational Heat Transfer. Connecticut: Begellhouse, 2012. http://dx.doi.org/10.1615/ichmt.2012.cht-12.200.
Full textYamada, Yoshio. "GLOBAL SOLUTIONS FOR THE SHIGESADA-KAWASAKI-TERAMOTO MODEL WITH CROSS-DIFFUSION." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0013.
Full textAckermann, Nils. "LONG-TIME DYNAMICS IN SEMILINEAR PARABOLIC PROBLEMS WITH AUTOCATALYSIS." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0001.
Full textDu, Yihong. "CHANGE OF ENVIRONMENT IN MODEL ECOSYSTEMS: EFFECT OF A PROTECTION ZONE IN DIFFUSIVE POPULATION MODELS." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0003.
Full textFarina, Alberto, and Enrico Valdinoci. "THE STATE OF THE ART FOR A CONJECTURE OF DE GIORGI AND RELATED PROBLEMS." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0004.
Full textReports on the topic "Reaction-diffusion"
Pope, S. B. Reaction and diffusion in turbulent combustion. Office of Scientific and Technical Information (OSTI), October 1992. http://dx.doi.org/10.2172/6922826.
Full textPope, S. B. Reaction and diffusion in turbulent combustion. Office of Scientific and Technical Information (OSTI), October 1991. http://dx.doi.org/10.2172/5833755.
Full textRehm, Ronald G., Howard R. Baum, and Daniel W. Lozier. Diffusion-controlled reaction in a vortex field. Gaithersburg, MD: National Bureau of Standards, 1987. http://dx.doi.org/10.6028/nbs.ir.87-3572.
Full textBarles, G., L. C. Evans, and P. E. Souganidis. Wavefront Propagation for Reaction-Diffusion Systems of PDE. Fort Belvoir, VA: Defense Technical Information Center, March 1989. http://dx.doi.org/10.21236/ada210862.
Full textPope, S. B. Reaction and diffusion in turbulent combustion. Progress report. Office of Scientific and Technical Information (OSTI), June 1993. http://dx.doi.org/10.2172/10165611.
Full textHale, Jack K., and Kunimochi Sakamoto. Shadow Systems and Attractors in Reaction-Diffusion Equations,. Fort Belvoir, VA: Defense Technical Information Center, April 1987. http://dx.doi.org/10.21236/ada185804.
Full textRehm, Ronald R., Howard R. Baum, Hai C. Tang, and Daniel W. Lozier. Finite-rate diffusion-controlled reaction in a vortex:. Gaithersburg, MD: National Institute of Standards and Technology, 1992. http://dx.doi.org/10.6028/nist.ir.4768.
Full textPope, S. B. Reaction and diffusion in turbulent combustion. Progress report. Office of Scientific and Technical Information (OSTI), October 1992. http://dx.doi.org/10.2172/10110970.
Full textPope, S. B. Reaction and diffusion in turbulent combustion. Progress report. Office of Scientific and Technical Information (OSTI), October 1991. http://dx.doi.org/10.2172/10117797.
Full textTurk, Greg. Generating Textures for Arbitrary Surfaces Using Reaction-Diffusion. Fort Belvoir, VA: Defense Technical Information Center, January 1990. http://dx.doi.org/10.21236/ada236706.
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