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Author : P. de Mottoni
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (897 download)
Download or read book Qualitative Analysis for Some Quasilinear Parabolic Systems written by P. de Mottoni and published by . This book was released on 1979 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Hoff
Publisher : American Mathematical Soc.
ISBN 13 : 1470461617
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)
Download or read book Linear and Quasilinear Parabolic Systems: Sobolev Space Theory written by David Hoff and published by American Mathematical Soc.. This book was released on 2020-11-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
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 : Herbert Amann
Publisher : Springer Science & Business Media
ISBN 13 : 9783764351144
Total Pages : 688 pages
Book Rating : 4.3/5 (511 download)
Download or read book Linear and Quasilinear Parabolic Problems written by Herbert Amann and published by Springer Science & Business Media. This book was released on 1995-03-27 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hölder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.
Author : A. Koshelev
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)
Download or read book Regularity of Solutions for Some Quasilinear Parabolic Systems written by A. Koshelev and published by . This book was released on 1991 with total page 0 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 : Aleksandr Košelev
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (461 download)
Download or read book Regularity of solutions for some quasilinear parabolic systems written by Aleksandr Košelev and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. Nishida
Publisher : Elsevier
ISBN 13 : 0080875394
Total Pages : 709 pages
Book Rating : 4.0/5 (88 download)
Download or read book Patterns and Waves written by T. Nishida and published by Elsevier. This book was released on 2011-09-22 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.
Author : Shigui Ruan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871294
Total Pages : 524 pages
Book Rating : 4.8/5 (712 download)
Download or read book Differential Equations with Applications to Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathématiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features: An overview of current developments in differential equations and mathematical biology. Authoritative contributions from over 60 leading worldwide researchers. Original, refereed contributions.
Author : S.A. Levin
Publisher : Springer Science & Business Media
ISBN 13 : 3642874223
Total Pages : 526 pages
Book Rating : 4.6/5 (428 download)
Download or read book Mathematical Ecology written by S.A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ei Teramoto
Publisher : Springer Science & Business Media
ISBN 13 : 3642933602
Total Pages : 359 pages
Book Rating : 4.6/5 (429 download)
Download or read book Mathematical Topics in Population Biology, Morphogenesis and Neurosciences written by Ei Teramoto and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.
Author : Pavol Quittner
Publisher : Birkhäuser
ISBN 13 : 9783764384418
Total Pages : 584 pages
Book Rating : 4.3/5 (844 download)
Download or read book Superlinear Parabolic Problems written by Pavol Quittner and published by Birkhäuser. This book was released on 2007-08-16 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material. It is devoted to problems that are intensively studied but have not been treated thus far in depth in the book literature.
Author : Michael Z. Zgurovsky
Publisher : Springer
ISBN 13 : 3319598406
Total Pages : 265 pages
Book Rating : 4.3/5 (195 download)
Download or read book Qualitative and Quantitative Analysis of Nonlinear Systems written by Michael Z. Zgurovsky and published by Springer. This book was released on 2017-07-11 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
Author :
Publisher :
ISBN 13 :
Total Pages : 576 pages
Book Rating : 4.:/5 (7 download)
Download or read book Hiroshima Mathematical Journal written by and published by . This book was released on 2000 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre-Étienne Druet
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book Local Well-posedness for Thermodynamically Motivated Quasilinear Parabolic Systems in Divergence Form written by Pierre-Étienne Druet and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We show that fully quasilinear parabolic systems are locally well posed in the Hilbert space scala if the coefficients of the differential operator are smooth enough and the spatial domain is sufficiently regular. In the context of diffusion systems driven by entropy, the uniform parabolicity follows from the second law of thermodynamics.
Author : Herbert Gajewski
Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (832 download)
Download or read book About Loss of Regularity and "blow Up" of Solutions for Quasilinear Parabolic Systems written by Herbert Gajewski and published by . This book was released on 1993 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
