Atsushi Yagi's Books

Degenerate Differential Equations in Banach Spaces

By: Angelo Favini,Atsushi Yagi

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Degenerate Differential Equations in Banach Spaces

By: Angelo Favini,Atsushi Yagi

This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the analyzability of the semigroup generated by some degenerate parabolic operators in spaces of continuous functions.

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Page Count

338

Publisher

CRC Press

Published Date

ISBN 10

0824716779

ISBN 13

9780824716776

Abstract Parabolic Evolution Equations and their Applications

By: Atsushi Yagi

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Abstract Parabolic Evolution Equations and their Applications

By: Atsushi Yagi

This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0

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594

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642046312

ISBN 13

9783642046315

Electrochemistry for Corrosion Fundamentals

By: Toshiaki Ohtsuka,Atsushi Nishikata,Masatoshi Sakairi,Koji Fushimi

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Electrochemistry for Corrosion Fundamentals

By: Toshiaki Ohtsuka,Atsushi Nishikata,Masatoshi Sakairi,Koji Fushimi

This brief is concerned with the fundamentals of corrosion of metallic materials and electrochemistry for better understanding of corrosion phenomena. Corrosion is related to both the environment and material properties, induced by electrochemical reactions at the interface between metallic materials and the environment as in aqueous and gaseous phases. In order to understand corrosion phenomena, knowledge of electrochemistry is thus required, and to investigate the cause of corrosion damage, appropriate electrochemical experiments must be performed. Corrosion scientists should therefore possess knowledge of both electrochemistry and its related experimental techniques. In this book, corrosion phenomena are introduced from the electrochemical aspect. Electrochemical techniques for the study of corrosion are then described with other techniques that can be combined with electrochemistry. Because this brief is characterized as starting with the fundamentals of corrosion and electrochemistry, it is accessible to undergraduate students as well as to graduate students who are beginning corrosion research.

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123

Publisher

Springer

Published Date

ISBN 10

9811068208

ISBN 13

9789811068201

The World of Nano-Biomechanics

By: Atsushi Ikai

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The World of Nano-Biomechanics

By: Atsushi Ikai

The World of Nano-Biomechanics, Second Edition, focuses on the remarkable progress in the application of force spectroscopy to molecular and cellular biology that has occurred since the book's first edition in 2008. The initial excitement of seeing and touching a single molecule of protein/DNA is now culminating in the development of various ways to manipulate molecules and cells almost at our fingertips, enabling live cell operations. Topics include the development of molecular biosensors, mechanical diagnosis, cellular-level wound healing, and a look into the advances that have been made in our understanding of the significance of mechanical rigidity/flexibility of protein/DNA structure for the manifestation of biological activities. The book begins with a summary of the results of basic mechanics to help readers who are unfamiliar with engineering mechanics. Then, representative results obtained on biological macromolecules and structures, such as proteins, DNA, RNA, polysaccharides, lipid membranes, subcellular organelles, and live cells are discussed. New to this second edition are recent developments in three important applications, i.e., advanced AFM-data analysis, high-resolution mechanical biosensing, and the use of cell mechanics for medical diagnosis. - Explains the basic physical concepts and mathematics of elementary mechanics needed to understand and perform experimental work on small-scale biological samples - Presents recent developments of force-based biosensing - Includes novel applications of nano-biomechanics to the medical field

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342

Publisher

Elsevier

Published Date

ISBN 10

0444636870

ISBN 13

9780444636874

Keynes and his Contemporaries

Tradition and Enterprise in the Cambridge School of Economics

By: Atsushi Komine

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Keynes and his Contemporaries

Tradition and Enterprise in the Cambridge School of Economics

By: Atsushi Komine

This book examines how the Cambridge School economists, such as J. M. Keynes, constructed revolutionary theories and advocated drastic policies based on their ideals for social organizations and their personal characteristics. Although vast numbers of studies on Marshall, Keynes and Marshallians have been published, there have been very few studies on the ‘Keynesian Revolution’ or Keynes’s relevance to the modern world from archival and intellectual viewpoints which focus on Keynes as a member of the Cambridge School. This book approaches Keynes from three directions: person, time and perspective. The book provides a better understanding of how Keynes struggled with problems of his time and it also offers valuable lessons on how to survive fluctuating global capitalism today. It focuses on eight key economists as a group in ‘a public sphere’ rather than as a school (a unified theoretical denominator), and clarifies their visions and the widespread beliefs at the time by investigating their common motivations, lifestyles, values and habits.

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190

Publisher

Routledge

Published Date

ISBN 10

1317685229

ISBN 13

9781317685227

Spectroscopy of Mott Insulators and Correlated Metals

Proceedings of the 17th Taniguchi Symposium Kashikojima, Japan, October 24–28, 1994

By: Atsushi Fujimori,Yoshinori Tokura

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Spectroscopy of Mott Insulators and Correlated Metals

Proceedings of the 17th Taniguchi Symposium Kashikojima, Japan, October 24–28, 1994

By: Atsushi Fujimori,Yoshinori Tokura

Extensive studies of high-Tc cuprate superconductors have stimualted investigations into various transition-metal oxides. Mott transitions in particular provide fascinating problems and new concepts in condensed matter physics. This book is a collection of overviews by well-known, active researchers in this field. It deals with the latest developments, with particular emphasis on the theoretical, spectroscopic, and transport aspects.

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272

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642578349

ISBN 13

9783642578342

Fire Force 18

By: Atsushi Ohkubo

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Fire Force 18

By: Atsushi Ohkubo

Takigi Oze, detective in the army's Criminal Investigation Division and brother to Company 8's own Maki, investigates a case that takes him into the Nether. When he almost doesn't make it out alive, his father--the general--decides it's time for the army to do something about the Evangelist. The general enlists the help of the Special Fire Force, but adds one more demand: Maki must return to the military.

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194

Publisher

Kodansha Comics

Published Date

ISBN 10

1646594703

ISBN 13

9781646594702

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

Abstract Theory

By: Atsushi Yagi

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Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

Abstract Theory

By: Atsushi Yagi

The classical Łojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Łojasiewicz–Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this Łojasiewicz–Simon gradient inequality. In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual Łojasiewicz–Simon inequality is extended, which is published here for the first time. In the second version, these abstract results are applied to reaction–diffusion equations with discontinuous coefficients, reaction–diffusion systems, and epitaxial growth equations. The results are also applied to the famous chemotaxis model, i.e., the Keller–Segel equations even for higher-dimensional ones.

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Publisher

Springer Nature

Published Date

ISBN 10

9811618968

ISBN 13

9789811618963

Degenerate Differential Equations in Banach Spaces

By: Angelo Favini,Atsushi Yagi

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Degenerate Differential Equations in Banach Spaces

By: Angelo Favini,Atsushi Yagi

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Page Count

332

Publisher

CRC Press

Published Date

ISBN 10

148227602X

ISBN 13

9781482276022

Abstract Parabolic Evolution Equations and Their Applications

By: Atsushi Yagi

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Abstract Parabolic Evolution Equations and Their Applications

By: Atsushi Yagi

The semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and systems. The author has studied abstract parabolic evolution equations and their applications to nonlinear diffusion equations and systems for more than 30 years. He gives first, after reviewing the theory of analytic semigroups, an overview of the theories of linear, semilinear and quasilinear abstract parabolic evolution equations as well as general strategies for constructing dynamical systems, attractors and stable-unstable manifolds associated with those nonlinear evolution equations. In the second half of the book, he shows how to apply the abstract results to various models in the real world focusing on various self-organization models: semiconductor model, activator-inhibitor model, B-Z reaction model, forest kinematic model, chemotaxis model, termite mound building model, phase transition model, and Lotka-Volterra competition model. The process and techniques are explained concretely in order to analyze nonlinear diffusion models by using the methods of abstract evolution equations. Thus the present book fills the gaps of related titles that either treat only very theoretical examples of equations or introduce many interesting models from Biology and Ecology, but do not base analytical arguments upon rigorous mathematical theories.

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581

Published Date

ISBN 10

3642046592

ISBN 13

9783642046599

Abstract Parabolic Evolution Equations and Łojasiewicz-Simon Inequality I

Abstract Theory

By: Atsushi Yagi

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Abstract Parabolic Evolution Equations and Łojasiewicz-Simon Inequality I

Abstract Theory

By: Atsushi Yagi

The classical ojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the ojasiewiczSimon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this ojasiewiczSimon gradient inequality. In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual ojasiewiczSimon inequality is extended, which is published here for the first time. In the second version, these abstract results are applied to reactiondiffusion equations with discontinuous coefficients, reactiondiffusion systems, and epitaxial growth equations. The results are also applied to the famous chemotaxis model, i.e., the KellerSegel equations even for higher-dimensional ones.

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ISBN 10

9811618976

ISBN 13

9789811618970

Book's by Atsushi Yagi

Degenerate Differential Equations in Banach Spaces

Degenerate Differential Equations in Banach Spaces

Abstract Parabolic Evolution Equations and their Applications

Abstract Parabolic Evolution Equations and their Applications

Electrochemistry for Corrosion Fundamentals

Electrochemistry for Corrosion Fundamentals

The World of Nano-Biomechanics

The World of Nano-Biomechanics

Keynes and his Contemporaries

Keynes and his Contemporaries

Spectroscopy of Mott Insulators and Correlated Metals

Spectroscopy of Mott Insulators and Correlated Metals

Fire Force 18

Fire Force 18

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

Degenerate Differential Equations in Banach Spaces

Degenerate Differential Equations in Banach Spaces

Abstract Parabolic Evolution Equations and Their Applications

Abstract Parabolic Evolution Equations and Their Applications

Abstract Parabolic Evolution Equations and Łojasiewicz-Simon Inequality I

Abstract Parabolic Evolution Equations and Łojasiewicz-Simon Inequality I

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