Higher Dimensional Blow Up for Semilinear Parabolic Equations

Higher Dimensional Blow Up for Semilinear Parabolic Equations
Author :
Publisher :
Total Pages : 28
Release :
ISBN-10 : OCLC:123333638
ISBN-13 :
Rating : 4/5 (38 Downloads)

Synopsis Higher Dimensional Blow Up for Semilinear Parabolic Equations by : University of Minnesota. Institute for Mathematics and Its Applications

Blow-up Theories for Semilinear Parabolic Equations

Blow-up Theories for Semilinear Parabolic Equations
Author :
Publisher : Springer Science & Business Media
Total Pages : 137
Release :
ISBN-10 : 9783642184598
ISBN-13 : 3642184596
Rating : 4/5 (98 Downloads)

Synopsis Blow-up Theories for Semilinear Parabolic Equations by : Bei Hu

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.

Blow-up Theories for Semilinear Parabolic Equations

Blow-up Theories for Semilinear Parabolic Equations
Author :
Publisher : Springer
Total Pages : 137
Release :
ISBN-10 : 9783642184604
ISBN-13 : 364218460X
Rating : 4/5 (04 Downloads)

Synopsis Blow-up Theories for Semilinear Parabolic Equations by : Bei Hu

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.

Blow-Up in Quasilinear Parabolic Equations

Blow-Up in Quasilinear Parabolic Equations
Author :
Publisher : Walter de Gruyter
Total Pages : 561
Release :
ISBN-10 : 9783110889864
ISBN-13 : 3110889862
Rating : 4/5 (64 Downloads)

Synopsis Blow-Up in Quasilinear Parabolic Equations by : A. A. Samarskii

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
Author :
Publisher : CRC Press
Total Pages : 565
Release :
ISBN-10 : 9781482251739
ISBN-13 : 1482251736
Rating : 4/5 (39 Downloads)

Synopsis Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations by : Victor A. Galaktionov

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book

Superlinear Parabolic Problems

Superlinear Parabolic Problems
Author :
Publisher : Springer
Total Pages : 738
Release :
ISBN-10 : 9783030182229
ISBN-13 : 3030182223
Rating : 4/5 (29 Downloads)

Synopsis Superlinear Parabolic Problems by : Prof. Dr. Pavol Quittner

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 first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.

Superlinear Parabolic Problems

Superlinear Parabolic Problems
Author :
Publisher :
Total Pages : 0
Release :
ISBN-10 : 0817684417
ISBN-13 : 9780817684419
Rating : 4/5 (17 Downloads)

Synopsis Superlinear Parabolic Problems by : Pavol Quittner

"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, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics." -- Book Jacket.

Handbook of Differential Equations: Evolutionary Equations

Handbook of Differential Equations: Evolutionary Equations
Author :
Publisher : Elsevier
Total Pages : 677
Release :
ISBN-10 : 9780080461380
ISBN-13 : 0080461387
Rating : 4/5 (80 Downloads)

Synopsis Handbook of Differential Equations: Evolutionary Equations by : C.M. Dafermos

The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim here is to collect review articles, written by leading experts, which will highlight the present and expected future directions of development of the field. The emphasis will be on nonlinear equations, which pose the most challenging problems today.. Volume I of this Handbook does focus on the abstract theory of evolutionary equations. . Volume 2 considers more concrete problems relating to specific applications. . Together they provide a panorama of this amazingly complex and rapidly developing branch of mathematics.