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Continuum Modeling in the Physical Sciences

2007-01-01 Mathematics
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Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 249/5 ( reviews)

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Book Synopsis Continuum Modeling in the Physical Sciences by : E. van Groesen

Download or read book Continuum Modeling in the Physical Sciences written by E. van Groesen. This book was released on 2007-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling - the ability to apply mathematical concepts and techniques to real-life systems has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook. Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modeling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples. Readers will benefit from the exercises placed throughout the text and the challenging problems sections found at the ends of several chapters.

Continuum Methods of Physical Modeling

2013-11-11 Science
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Release : 2013-11-11
Genre : Science
Kind : eBook
Book Rating : 022/5 ( reviews)

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Book Synopsis Continuum Methods of Physical Modeling by : Kolumban Hutter

Download or read book Continuum Methods of Physical Modeling written by Kolumban Hutter. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.

Mathematical Modeling in Continuum Mechanics

2005-05-19 Science
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Release : 2005-05-19
Genre : Science
Kind : eBook
Book Rating : 216/5 ( reviews)

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Book Synopsis Mathematical Modeling in Continuum Mechanics by : Roger Temam

Download or read book Mathematical Modeling in Continuum Mechanics written by Roger Temam. This book was released on 2005-05-19. Available in PDF, EPUB and Kindle. Book excerpt: Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.

Continuum Modeling

2015-08-14 Mathematics
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Release : 2015-08-14
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

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Book Synopsis Continuum Modeling by : Adrian Muntean

Download or read book Continuum Modeling written by Adrian Muntean. This book was released on 2015-08-14. Available in PDF, EPUB and Kindle. Book excerpt: This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harvesting from geothermal wells. The target audience comprises primarily graduate students in pure and applied mathematics as well as working practitioners in engineering who are faced by nonstandard rheological topics like those typically arising in the food industry.

Continuum Mechanics Through the Twentieth Century

2013-04-11 Technology & Engineering
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Release : 2013-04-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 548/5 ( reviews)

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Book Synopsis Continuum Mechanics Through the Twentieth Century by : Gerard A Maugin

Download or read book Continuum Mechanics Through the Twentieth Century written by Gerard A Maugin. This book was released on 2013-04-11. Available in PDF, EPUB and Kindle. Book excerpt: This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

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