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Explicit Invariant Regions And Global Existence Of Solutions For Reaction Diffusion Systems With A Full Matrix Of Diffusion Coefficients And Nonhomogeneous Boundary Conditions International Journal Of Open Problems In Computer Science And Mathematics
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Book Synopsis Explicit Invariant Regions and Global Existence of Solutions for Reaction Diffusion Systems With a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions \\ International Journal of Open Problems in Computer Science and Mathematics by : Said Kouachi
Download or read book Explicit Invariant Regions and Global Existence of Solutions for Reaction Diffusion Systems With a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions \\ International Journal of Open Problems in Computer Science and Mathematics written by Said Kouachi and published by . This book was released on 2012 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Solutions of Reaction-Diffusion Systems by : Franz Rothe
Download or read book Global Solutions of Reaction-Diffusion Systems written by Franz Rothe and published by Springer. This book was released on 2006-12-08 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Cross Diffusion Systems by : Dung Le
Download or read book Cross Diffusion Systems written by Dung Le and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.
Book Synopsis Global Existence and Large Time Behavior of Solutions to Reaction-diffusion Systems with Large Diffusion Coefficients by : Brian Perry Cupps
Download or read book Global Existence and Large Time Behavior of Solutions to Reaction-diffusion Systems with Large Diffusion Coefficients written by Brian Perry Cupps and published by . This book was released on 1994 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Existence of Solutions to Reaction-diffusion Systems with Mass Transport Type Boundary Conditions by : Vandana Sharma
Download or read book Global Existence of Solutions to Reaction-diffusion Systems with Mass Transport Type Boundary Conditions written by Vandana Sharma and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider coupled reaction-diffusion models, where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on the boundary through mass transport. We proved if vector fields are locally Lipschitz functions and satisfies quasi-positivity conditions, and if initial data are component-wise bounded and non-negative then there exists T_max >0 such that our model has component-wise non-negative solution with T = T_max. Our criterion for determining local existence of the solution involves derivation of a priori estimates, as well as regularity of the solution, and the use of a fixed point theorem. Moreover, if vector fields satisfies certain conditions explained in dissertation, then there exists solution for all time, t>0. Classical potential theory and estimates for linear initial boundary value problems are used to prove local well-posedness and global existence. This type of system arises in mathematical models for cell processes.
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:
Book Synopsis The Mathematics of Diffusion by : Wei-Ming Ni
Download or read book The Mathematics of Diffusion written by Wei-Ming Ni and published by SIAM. This book was released on 2011-10-13 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements and spatial heterogeneity in the classical Lotka–Volterra competition systems. Interspersed throughout the book are many simple, fundamental and important open problems for readers to investigate.
Book Synopsis Nonlinear Diffusion by : Homer Franklin Walker
Download or read book Nonlinear Diffusion written by Homer Franklin Walker and published by Pitman Publishing. This book was released on 1977 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Anomalous Diffusion and Relaxation by : Luiz Roberto Evangelista
Download or read book An Introduction to Anomalous Diffusion and Relaxation written by Luiz Roberto Evangelista and published by Springer Nature. This book was released on 2023-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by the book are of current interest and comprehensive range, including concepts in diffusion and stochastic physics, random walks, and elements of fractional calculus. They are accompanied by a detailed exposition of the mathematical techniques intended to serve the reader as a tool to handle modern boundary value problems. This self-contained text can be used as a reference source for graduates and researchers working in applied mathematics, physics of complex systems and fluids, condensed matter physics, statistical physics, chemistry, chemical and electrical engineering, biology, and many others.
Book Synopsis Systems of Reaction Diffusion Equations and Their Attractors by : Matthias Büger
Download or read book Systems of Reaction Diffusion Equations and Their Attractors written by Matthias Büger and published by . This book was released on 2005 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Closer Look at the Diffusion Equation by : Jordan Hristov
Download or read book A Closer Look at the Diffusion Equation written by Jordan Hristov and published by Nova Science Publishers. This book was released on 2020-10 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with singular and non-singular memory kernels. The book content cannot present the entire rich area of problems related to modelling of diffusion phenomena but allow seeing some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels the numerical methods and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research.The book is oriented to researchers; master and PhD students involved in diffusion problems with a variety of application and could serves as a rich reference source and a collection of texts provoking new ideas.
Book Synopsis Global Existence of Solutions to Reaction-diffusion Systems on Heterogeneous Domains by : Peter Wayne Horton
Download or read book Global Existence of Solutions to Reaction-diffusion Systems on Heterogeneous Domains written by Peter Wayne Horton and published by . This book was released on 1998 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematics of Diffusion by : John Crank
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Book Synopsis Global Existence for Solutions of Diffusively Coupled Reaction Diffusion Equations by : Swabhimita Patel
Download or read book Global Existence for Solutions of Diffusively Coupled Reaction Diffusion Equations written by Swabhimita Patel and published by . This book was released on 2007 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems by : J. Ildefonso Diaz
Download or read book On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems written by J. Ildefonso Diaz and published by . This book was released on 1982 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some nonlinear stationary reaction-diffusion systems involving nonlinear terms which may be discontinuous are considered. Such systems occur, for instance, in the study of chemical reactions and the discontinuities correspond to reactions of order zero. In such concrete model, the set where the reactant vanishes plays an important role. Here we prove the existence of solutions for a general class of such systems satisfying Dirichlet or nonlinear boundary conditions. Necessary and sufficient conditions are given assuring that the reactant component vanishes on a set of positive measure. Estimates on the location of such set are given. (Author).
Book Synopsis Global Existence of Solutions for a Reaction-diffusion System by :
Download or read book Global Existence of Solutions for a Reaction-diffusion System written by and published by . This book was released on 2007 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
