Emerging Concepts in Evolution Equations

Carolyn Murphy (Editor)

Series: Mathematics Research Developments
BISAC: MAT040000

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Volume 10

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Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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This book reviews new research and analyzes emerging concepts in evolution equations. Chapter One discusses the evolution equation of Lie-type for finite deformations, and its time-discrete integration. Chapter Two presents a review of recent results on group analysis of nonlinear evolution equations in one spatial variable. Chapter Three addresses the problem of exponential stabilization of a class of 1-D PDEs with Dirichlet boundary control.

Preface

Chapter 1.

The Evolution Equation of Lie-Type for Finite Deformations and Its Time-Discrete Integration
Zdenìk Fiala (Institute of Theoretical and Applied Mechanics CAS, Prosecká, Prague, Czech Republic)

Chapter 2.

New Applications of Symmetry Analysis to Nonlinear Evolution Equations
Renat Zhdanov and Qing Huang (BIO-key International, Eagan, MN, USA, and others)

Chapter 3.

A Method for Exponentially Stabilizing a Class of 1-D PDE
Abdelhadi Elharfi and Ahmed Sani (Department of Mathematics, Regional Center of the Education Professions and Formation, Agadir, Morocco and others)

Index

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