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Instabilities And Propagation Properties In Two Component Reaction Diffusion Systems
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Book Synopsis Instabilities and Propagation Properties in Two-component Reaction-diffusion Systems by : Samir Shams Eldeen
Download or read book Instabilities and Propagation Properties in Two-component Reaction-diffusion Systems written by Samir Shams Eldeen and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with a detailed linear analysis for a two-component reaction-diffusion system with constant diffusion coefficients. A comprehensive linear stability analysis results in three types of instabilities: (1) stationary periodic instability, (2) oscillatory uniform and (3) stationary uniform. The first instability involves pattern formation and the other two do not. Precise parameter regimes are identified for each. Travelling wave analysis is performed for the system and a detailed and comprehensive analysis is undertaken of a linear mechanism governing the development and propagation of nonlinear patterns. This analysis focuses on a linear selection mechanism that gives some insights into the selected speed of invasion of an unstable state by a stable one, as described both by a fixed form of travelling wave and by a modulated travelling wave.
Book Synopsis Reaction Diffusion Systems by : Gabriela Caristi
Download or read book Reaction Diffusion Systems written by Gabriela Caristi and published by CRC Press. This book was released on 2020-10-07 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."
Book Synopsis Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics by : Alexander Gelfgat
Download or read book Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics written by Alexander Gelfgat and published by Springer. This book was released on 2018-07-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.
Book Synopsis Complexity and Evolution of Dissipative Systems by : Sergey Vakulenko
Download or read book Complexity and Evolution of Dissipative Systems written by Sergey Vakulenko and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems.
Book Synopsis Instabilities in a Model Reaction Diffusion System by : K. Panchalingam
Download or read book Instabilities in a Model Reaction Diffusion System written by K. Panchalingam and published by . This book was released on 1977 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elliptic Partial Differential Equations by : Vitaly Volpert
Download or read book Elliptic Partial Differential Equations written by Vitaly Volpert and published by Springer. This book was released on 2014-05-10 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered.
Book Synopsis ERDA Energy Research Abstracts by : United States. Energy Research and Development Administration
Download or read book ERDA Energy Research Abstracts written by United States. Energy Research and Development Administration and published by . This book was released on 1977 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reaction-diffusion Waves by : Arnaud Ducrot
Download or read book Reaction-diffusion Waves written by Arnaud Ducrot and published by Editions Publibook. This book was released on 2009 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fast Propagation in Reaction-diffusion Equations with Fractional Diffusion by : Anne-Charline Coulon Chalmin
Download or read book Fast Propagation in Reaction-diffusion Equations with Fractional Diffusion written by Anne-Charline Coulon Chalmin and published by . This book was released on 2014 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Book Synopsis Mathematical Biology II by : James D. Murray
Download or read book Mathematical Biology II written by James D. Murray and published by Springer Science & Business Media. This book was released on 2011-02-15 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS
Book Synopsis Models of Biological Pattern Formation by : Hans Meinhardt
Download or read book Models of Biological Pattern Formation written by Hans Meinhardt and published by . This book was released on 1982 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Instability Thresholds and Dynamics of Mesa Patterns in Reaction-diffusion Systems by : Rebecca C. McKay
Download or read book Instability Thresholds and Dynamics of Mesa Patterns in Reaction-diffusion Systems written by Rebecca C. McKay and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 2004 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment by : Appanah Rao Appadu
Download or read book Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment written by Appanah Rao Appadu and published by Frontiers Media SA. This book was released on 2023-04-05 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Self-Propagating High-Temperature Synthesis of Materials by : Anatoli A. Borisov
Download or read book Self-Propagating High-Temperature Synthesis of Materials written by Anatoli A. Borisov and published by CRC Press. This book was released on 2002-07-18 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-Propagating High-Temperature Synthesis of Materials is a collection of papers that reflects modern trends in self-propagating, high-temperature synthesis (SHS), a process for synthesis of modern materials carried out in the mode of autowave solid-flame combustion. To date, SHS-produced materials have found their application in different branches of modern science and technology, mechanical engineering, ferrous and nonferrous metallurgy, aerospace engineering, chemical industry, electrical engineering, and electronics. This book is useful not only for the SHS community, but also for researchers and engineers who are active in the following related fields of knowledge; theory and practice of combustion, materials science and technology, pure and applied chemistry, and metallurgy.
