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Author : Steffen Heinze
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (18 download)
Download or read book Existence of Front Solutions in Degenerate Reaction Diffusion Systems written by Steffen Heinze and published by . This book was released on 2004 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guangwei Fan
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (237 download)
Download or read book Existence and Stabilities of Positive Solutions for Degenerate and Periodic Reaction-diffusion Systems written by Guangwei Fan and published by . This book was released on 1990 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masaharu Taniguchi
Publisher :
ISBN 13 : 9784864970976
Total Pages : 0 pages
Book Rating : 4.9/5 (79 download)
Download or read book Traveling Front Solutions in Reaction-Diffusion Equations written by Masaharu Taniguchi and published by . This book was released on 2021-05-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study on traveling fronts in reaction-diffusion equations is the first step to understand various kinds of propagation phenomena in reaction-diffusion models in natural science. One dimensional traveling fronts have been studied from the 1970s, and multidimensional ones have been studied from around 2005. This volume is a text book for graduate students to start their studies on traveling fronts. Using the phase plane analysis, we study the existence of traveling fronts in several kinds of reaction-diffusion equations. For a nonlinear reaction term, a bistable one is a typical one. For a bistable reaction-diffusion equation, we study the existence and stability of two-dimensional V-form fronts, and we also study pyramidal traveling fronts in three or higher space dimensions. The cross section of a pyramidal traveling front forms a convex polygon. It is known that the limit of a pyramidal traveling front gives a new multidimensional traveling front. For the study the multidimensional traveling front, studying properties of pyramidal traveling fronts plays an important role. In this volume, we study the existence, uniqueness and stability of a pyramidal traveling front as clearly as possible for further studies by graduate students. For a help of their studies, we briefly explain and prove the well-posedness of reaction-diffusion equations and the Schauder estimates and the maximum principles of solutions.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Author : Yihong Du
Publisher : World Scientific
ISBN 13 : 9812834745
Total Pages : 373 pages
Book Rating : 4.8/5 (128 download)
Download or read book Recent Progress on Reaction-diffusion Systems and Viscosity Solutions written by Yihong Du and published by World Scientific. This book was released on 2009 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of survey and research articles expanding on the theme of the OC International Conference on Reaction-Diffusion Systems and Viscosity SolutionsOCO, held at Providence University, Taiwan, during January 3OCo6, 2007. It is a carefully selected collection of articles representing the recent progress of some important areas of nonlinear partial differential equations. The book is aimed for researchers and postgraduate students who want to learn about or follow some of the current research topics in nonlinear partial differential equations. The contributors consist of international experts and some participants of the conference, including Nils Ackermann (Mexico), Chao-Nien Chen (Taiwan), Yihong Du (Australia), Alberto Farina (France), Hitoshi Ishii (Japan), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (USA), Kunimochi Sakamoto (Japan), Richard Tsai (USA), Mingxin Wang (China), Yoshio Yamada (Japan), Eiji Yanagida (Japan), and Xiao-Qiang Zhao (Canada).
Author : Peter Wayne Horton
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (411 download)
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:
Author : Franz Rothe
Publisher : Springer
ISBN 13 : 3540389172
Total Pages : 222 pages
Book Rating : 4.5/5 (43 download)
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:
Author : Gabriela Caristi
Publisher : CRC Press
ISBN 13 : 1000117197
Total Pages : 428 pages
Book Rating : 4.0/5 (1 download)
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."
Author : Xiaxi Ding
Publisher : American Mathematical Soc.
ISBN 13 : 0821806610
Total Pages : 653 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Evolutionary Partial Differential Equations written by Xiaxi Ding and published by American Mathematical Soc.. This book was released on 1997 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from the International Conference on Nonlinear Evolutionary Partial Differential Equations held in Beijing in June 1993. The topic for the conference was selected because of its importance in the natural sciences and for its mathematical significance. Discussion topics include conservation laws, dispersion waves, Einstein's theory of gravitation, reaction-diffusion equations, the Navier-Stokes equations, and more. New results were presented and are featured in this volume. Titles in this series are co-published with International Press, Cambridge, MA.
Author : Steffen Heinze
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (18 download)
Download or read book Asymptotic Behavior of Fronts in Degenerate Reaction Diffusion Systems written by Steffen Heinze and published by . This book was released on 2004 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isobel M. Lee
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (534 download)
Download or read book The Existence of Multiple Steady-state Solutions of a Reaction-diffusion Equation written by Isobel M. Lee and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Perry Cupps
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (348 download)
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:
Author : Vandana Sharma
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (676 download)
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:
Author : Vitaly Volpert
Publisher : Springer
ISBN 13 : 3034808135
Total Pages : 796 pages
Book Rating : 4.0/5 (348 download)
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.
Author : Said Kouachi
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (935 download)
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:
Author : Swabhimita Patel
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (244 download)
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:
Author :
Publisher :
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
