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Cover of Attractors for Equations of Mathematical Physics

Attractors for Equations of Mathematical Physics

by Vladimir V. Chepyzhov

Book Details

Publisher:American Mathematical Soc.
Published:2002
Pages:377
Format:BOOK
Language:en

Reading Info

About This Book

One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability of solutions or the character of the instability if a solution is unstable. In the last few decades, considerable progress in this area has been achieved in the study of autonomous evolution partial differential equations. For anumber of basic ev

Our Review

This advanced mathematical text provides a comprehensive examination of attractors in evolution equations of mathematical physics, focusing specifically on how solutions behave as time approaches infinity. The work represents significant progress in understanding autonomous evolution partial differential equations, addressing fundamental questions about solution stability and instability patterns. For researchers and graduate students in mathematical physics, this volume offers rigorous analysis of long-term solution behavior in nonlinear dynamical systems.

What distinguishes this treatment is its systematic approach to attractor theory applied to concrete physical models, bridging abstract mathematical concepts with practical applications in physics. The book will particularly benefit mathematical physicists and applied mathematicians working with partial differential equations who need sophisticated tools for analyzing asymptotic behavior. This specialized monograph delivers essential insights for anyone investigating the stability properties of evolution equations over extended time scales.

Themes

Mathematics

Subjects

Mathematics