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Author : Carsten Ebmeyer
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (765 download)
Download or read book The Smoothing Property for a Class of Doubly Nonlinear Parabolic Equations written by Carsten Ebmeyer and published by . This book was released on 2004 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carsten Ebmeyer
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (17 download)
Download or read book ˜Aœ Posteriori Error Estimates for a Class of Doubly Nonlinear Parabolic Equations written by Carsten Ebmeyer and published by . This book was released on 2001 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080521827
Total Pages : 579 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2004-08-24 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE's: from theory to numerics
Author : Alexander Domoshnitsky
Publisher : Springer Nature
ISBN 13 : 9811662975
Total Pages : 265 pages
Book Rating : 4.8/5 (116 download)
Download or read book Functional Differential Equations and Applications written by Alexander Domoshnitsky and published by Springer Nature. This book was released on 2022-02-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses delay and integro-differential equations from the point of view of the theory of functional differential equations. This book is a collection of selected papers presented at the international conference of Functional Differential Equations and Applications (FDEA-2019), 7th in the series, held at Ariel University, Israel, from August 22–27, 2019. Topics covered in the book include classical properties of functional differential equations as oscillation/non-oscillation, representation of solutions, sign properties of Green's matrices, comparison of solutions, stability, control, analysis of boundary value problems, and applications. The primary audience for this book includes specialists on ordinary, partial and functional differential equations, engineers and doctors dealing with modeling, and researchers in areas of mathematics and engineering.
Author : Juan Luis Vázquez
Publisher : OUP Oxford
ISBN 13 : 0191525251
Total Pages : 248 pages
Book Rating : 4.1/5 (915 download)
Download or read book Smoothing and Decay Estimates for Nonlinear Diffusion Equations written by Juan Luis Vázquez and published by OUP Oxford. This book was released on 2006-08-03 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis. Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity ("equations of porous medium type"), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including time decay, smoothing, extinction in finite time, and delayed regularity.
Author : Vincenzo Vespri
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (165 download)
Download or read book On the Local Behaviour of Solutions of a Certain Class of Doubly Nonlinear Parabolic Equations written by Vincenzo Vespri and published by . This book was released on 1991 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Emmanuele DiBenedetto
Publisher : Springer Science & Business Media
ISBN 13 : 1461208955
Total Pages : 402 pages
Book Rating : 4.4/5 (612 download)
Download or read book Degenerate Parabolic Equations written by Emmanuele DiBenedetto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.
Author : Messoud Efendiev
Publisher : American Mathematical Soc.
ISBN 13 : 1470409852
Total Pages : 233 pages
Book Rating : 4.4/5 (74 download)
Download or read book Attractors for Degenerate Parabolic Type Equations written by Messoud Efendiev and published by American Mathematical Soc.. This book was released on 2013-09-26 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the long-time behavior of solutions of degenerate parabolic dissipative equations arising in the study of biological, ecological, and physical problems. Examples include porous media equations, -Laplacian and doubly nonlinear equations, as well as degenerate diffusion equations with chemotaxis and ODE-PDE coupling systems. For the first time, the long-time dynamics of various classes of degenerate parabolic equations, both semilinear and quasilinear, are systematically studied in terms of their global and exponential attractors. The long-time behavior of many dissipative systems generated by evolution equations of mathematical physics can be described in terms of global attractors. In the case of dissipative PDEs in bounded domains, this attractor usually has finite Hausdorff and fractal dimension. Hence, if the global attractor exists, its defining property guarantees that the dynamical system reduced to the attractor contains all of the nontrivial dynamics of the original system. Moreover, the reduced phase space is really "thinner" than the initial phase space. However, in contrast to nondegenerate parabolic type equations, for a quite large class of degenerate parabolic type equations, their global attractors can have infinite fractal dimension. The main goal of the present book is to give a detailed and systematic study of the well-posedness and the dynamics of the semigroup associated to important degenerate parabolic equations in terms of their global and exponential attractors. Fundamental topics include existence of attractors, convergence of the dynamics and the rate of convergence, as well as the determination of the fractal dimension and the Kolmogorov entropy of corresponding attractors. The analysis and results in this book show that there are new effects related to the attractor of such degenerate equations that cannot be observed in the case of nondegenerate equations in bounded domains. This book is published in cooperation with Real Sociedad Matemática Española (RSME).
Author : Rolando Magnanini
Publisher : Springer Science & Business Media
ISBN 13 : 8847028418
Total Pages : 294 pages
Book Rating : 4.8/5 (47 download)
Download or read book Geometric Properties for Parabolic and Elliptic PDE's written by Rolando Magnanini and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.
Author : T. I. Zelenyak
Publisher : Walter de Gruyter
ISBN 13 : 311093504X
Total Pages : 425 pages
Book Rating : 4.1/5 (19 download)
Download or read book Qualitative Theory of Parabolic Equations, Part 1 written by T. I. Zelenyak and published by Walter de Gruyter. This book was released on 2011-09-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained.
Author : Lucio Boccardo
Publisher : Longman Publishing Group
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (44 download)
Download or read book Nonlinear Parabolic Equations written by Lucio Boccardo and published by Longman Publishing Group. This book was released on 1987 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor A. Galaktionov
Publisher : CRC Press
ISBN 13 : 0203998065
Total Pages : 384 pages
Book Rating : 4.2/5 (39 download)
Download or read book Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications written by Victor A. Galaktionov and published by CRC Press. This book was released on 2004-05-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike the classical Sturm theorems on the zeros of solutions of second-order ODEs, Sturm's evolution zero set analysis for parabolic PDEs did not attract much attention in the 19th century, and, in fact, it was lost or forgotten for almost a century. Briefly revived by Plya in the 1930's and rediscovered in part several times since, it was not un
Author : Kianhwa Colin Djie
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (17 download)
Download or read book On Upper Bounds for Waiting Times for Doubly Nonlinear Parabolic Equations written by Kianhwa Colin Djie and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joachim Escher
Publisher : Springer Science & Business Media
ISBN 13 : 3034800754
Total Pages : 712 pages
Book Rating : 4.0/5 (348 download)
Download or read book Parabolic Problems written by Joachim Escher and published by Springer Science & Business Media. This book was released on 2011-07-20 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.
Author :
Publisher :
ISBN 13 :
Total Pages : 1158 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Juan Luis Vázquez
Publisher : Oxford University Press, USA
ISBN 13 : 0199202974
Total Pages : 249 pages
Book Rating : 4.1/5 (992 download)
Download or read book Smoothing and Decay Estimates for Nonlinear Diffusion Equations written by Juan Luis Vázquez and published by Oxford University Press, USA. This book was released on 2006-08-03 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is concerned with quantitative aspects of the theory of nonlinear diffusion equations, whichappear as mathematical models in different branches of Physics, Chemistry, Biology and Engineering.
Author : Ivan Dimov
Publisher : Springer
ISBN 13 : 3642415156
Total Pages : 583 pages
Book Rating : 4.6/5 (424 download)
Download or read book Numerical Analysis and Its Applications written by Ivan Dimov and published by Springer. This book was released on 2013-10-01 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes thoroughly revised selected papers of the 5th International Conference on Numerical Analysis and Its Applications, NAA 2012, held in Lozenetz, Bulgaria, in June 2012. The 65 revised papers presented were carefully reviewed and selected from various submissions. The papers cover a broad area of topics of interest such as numerical approximation and computational geometry; numerical linear algebra and numerical solution of transcendental equation; numerical methods for differential equations; numerical stochastics, numerical modeling; and high performance scientific computing.
