Steady States of the One-dimensional Cahn-Hilliard Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Steady States of the One-dimensional Cahn-Hilliard Equation write by University of Minnesota. Institute for Mathematics and Its Applications. This book was released on 1992. Steady States of the One-dimensional Cahn-Hilliard Equation available in PDF, EPUB and Kindle.
The Cahn–Hilliard Equation: Recent Advances and Applications
The Cahn–Hilliard Equation: Recent Advances and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Cahn–Hilliard Equation: Recent Advances and Applications write by Alain Miranville. This book was released on 2019-09-09. The Cahn–Hilliard Equation: Recent Advances and Applications available in PDF, EPUB and Kindle. This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
Handbook of Differential Equations: Evolutionary Equations
Handbook of Differential Equations: Evolutionary Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Differential Equations: Evolutionary Equations write by C.M. Dafermos. This book was released on 2008-10-06. Handbook of Differential Equations: Evolutionary Equations available in PDF, EPUB and Kindle. The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts
Mathematical Methods and Models in Phase Transitions
Mathematical Methods and Models in Phase Transitions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Methods and Models in Phase Transitions write by Alain Miranville. This book was released on 2005. Mathematical Methods and Models in Phase Transitions available in PDF, EPUB and Kindle. The modelling and the study of phase transition phenomena are capital issues as they have essential applications in material sciences and in biological and industrial processes. We can mention, e.g., phase separation in alloys, ageing of materials, microstructure evolution, crystal growth, solidification in complex alloys, surface diffusion in the presence of stress, evolution of the surface of a thin flow in heteroepitaxial growth, motion of voids in interconnects in integrated circuits, treatment of airway closure disease by surfactant injection, fuel injection, fire extinguishers etc., This book consists of 11 contributions from specialists in the mathematical modelling and analysis of phase transitions. The content of these contributions ranges from the modelling to the mathematical and numerical analysis. Furthermore, many numerical simulations are presented. Finally, the contributors have tried to give comprehensive and accurate reference lists. This book should thus serve as a reference book for researchers interested in phase transition phenomena.
Fractional Differential Equations
Fractional Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fractional Differential Equations write by Igor Podlubny. This book was released on 1998-10-27. Fractional Differential Equations available in PDF, EPUB and Kindle. This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives
