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Author : Nassima Boudiba
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (897 download)
Download or read book Global existence for coupled reaction-diffusion systems written by Nassima Boudiba and published by . This book was released on 2000 with total page 11 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 : 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 : Yoshitaka Uda
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (296 download)
Download or read book Fujita Type Global Existence written by Yoshitaka Uda and published by . This book was released on 1993 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yihong Du
Publisher : World Scientific
ISBN 13 : 9812834737
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 ?International Conference on Reaction-Diffusion Systems and Viscosity Solutions?, held at Providence University, Taiwan, during January 3?6, 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 (Waseda), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (Minnesota), Kunimochi Sakamoto (Hiroshima), Richard Tsai (Texas), Mingxin Wang (China), Yoshio Yamada (Waseda), Eiji Yanagida (Tohoku), and Xiao-Qiang Zhao (Canada).
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 : Julian Fischer
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)
Download or read book Global Existence Analysis of Energy-reaction-diffusion Systems written by Julian Fischer and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We establish global-in-time existence results for thermodynamically consistent reaction-(cross-)diffusion systems coupled to an equation describing heat transfer. Our main interest is to model species-dependent diffusivities, while at the same time ensuring thermodynamic consistency. A key difficulty of the non-isothermal case lies in the intrinsic presence of cross-diffusion type phenomena like the Soret and the Dufour effect: due to the temperature/energy dependence of the thermodynamic equilibria, a nonvanishing temperature gradient may drive a concentration flux even in a situation with constant concentrations; likewise, a nonvanishing concentration gradient may drive a heat flux even in a case of spatially constant temperature. We use time discretisation and regularisation techniques and derive a priori estimates based on a suitable entropy and the associated entropy production. Renormalised solutions are used in cases where non-integrable diffusion fluxes or reaction terms appear.
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 : 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 : Guillaume Rolland
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (859 download)
Download or read book Global Existence and Fast-reaction Limit in Reaction-diffusion Systems with Cross Effects written by Guillaume Rolland and published by . This book was released on 2012 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.V. Pao
Publisher : Springer Science & Business Media
ISBN 13 : 1461530342
Total Pages : 786 pages
Book Rating : 4.4/5 (615 download)
Download or read book Nonlinear Parabolic and Elliptic Equations written by C.V. Pao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.
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 : 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 : Amnon Pazy
Publisher : Springer Science & Business Media
ISBN 13 : 1461255619
Total Pages : 289 pages
Book Rating : 4.4/5 (612 download)
Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.
Author : B. N. Chetverushkin
Publisher : Springer
ISBN 13 : 3319783254
Total Pages : 452 pages
Book Rating : 4.3/5 (197 download)
Download or read book Contributions to Partial Differential Equations and Applications written by B. N. Chetverushkin and published by Springer. This book was released on 2018-07-19 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume. It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016. This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications. This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained. It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.
Author : Bei Hu
Publisher : Springer Science & Business Media
ISBN 13 : 3642184596
Total Pages : 137 pages
Book Rating : 4.6/5 (421 download)
Download or read book Blow-up Theories for Semilinear Parabolic Equations written by Bei Hu and published by Springer Science & Business Media. This book was released on 2011-03-23 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
Author : Gary M. Lieberman
Publisher : World Scientific
ISBN 13 : 9789810228835
Total Pages : 472 pages
Book Rating : 4.2/5 (288 download)
Download or read book Second Order Parabolic Differential Equations written by Gary M. Lieberman and published by World Scientific. This book was released on 1996 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.
