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Author: Jose Francisco Rodrigues
Publisher: CRC Press
ISBN: 9780582248748
Category : Mathematics
Languages : en
Pages : 384
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Book Description
With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.
Author: Jose Francisco Rodrigues
Publisher: CRC Press
ISBN: 9780582248748
Category : Mathematics
Languages : en
Pages : 384
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Book Description
With the purpose of promoting cooperative research involving the fields of mechanics and pure mathematics, the International Society for the Interaction of Mechanics and Mathematics (ISIMM) sponsors a series of Symposia. The ninth in this series (STAMM 94) took place in July 1994 at the University of Lisbon and emphasized the current trends in nonlinear mechanics, phase change problems (in cooperation with the European Science Foundation Scientific Programme on Mathematical Treatment of Free Boundary Problems), non Newtonian fluids, optimization in solid mechanics and numerical methods in continuum mechanics. This book collects a refereed selection of original contributions presented at STAMM 94, covering a large spectrum of current research in the above topics, from nonlinear elasticity to nonlinear fluids, from phase transitions to diffusion phenomena, and from structural optimization and homogenization to numerical schemes.
Author: Wilhelm Schneider
Publisher: Longman Scientific and Technical
ISBN:
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Held under the auspices of the International Society for Interaction of Mechanics and Mathematics, the 8th symposium on Trends in Applications of Mathematics to Mechanics held in Austria at Hollabrun from August 13-18, 1989 covered such topics as numerical methods in non-linear continuum mechanics, material science and thermodynamic aspects of continuum mechanics, dynamical systems and bifurcation, and the asymptotic theory of viscous flow. The symposium also discussed the significant interactions of mathematics and mechanics.
Author: Elisabetta Rocca
Publisher: Springer
ISBN: 331975940X
Category : Mathematics
Languages : en
Pages : 374
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Book Description
This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and gases, nematic shells, thin films, dry friction, delamination, damage, and phase-field dynamics. The papers in the volume present novel results and identify possible future developments. The book is addressed to researchers involved in Mathematics and its applications to Mechanics.
Author: Ekkehart Kröner
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 548
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Book Description
Author: Reint de Boer
Publisher: Springer Science & Business Media
ISBN: 9781402031434
Category : Science
Languages : en
Pages : 304
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Book Description
Over the last decade and particularly in recent years, the macroscopic porous media theory has made decisive progress concerning the fundamentals of the theory and the development of mathematical models in various fields of engineering and biomechanics. This progress has attracted some attention, and therefore conferences devoted almost exclusively to the macrosopic porous media theory have been organized in order to collect all findings, to present new results, and to discuss new trends. Many important contributions have also been published in national and international journals, which have brought the porous media theory, in some parts, to a close. Therefore, the time seems to be ripe to review the state of the art and to show new trends in the continuum mechanical treatment of saturated and unsaturated capillary and non-capillary porous solids. This book addresses postgraduate students and scientists working in engineering, physics, and mathematics. It provides an outline of modern theory of porous media and shows some trends in theory and in applications.
Author: Anatolij Dvurecenskij
Publisher: Springer Science & Business Media
ISBN: 9401724229
Category : Mathematics
Languages : en
Pages : 551
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Book Description
D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean a-algebra and, by the Loomis-Sikorski theorem, roughly speaking can be represented by a a-algebra S of subsets of some non-void set n.
Author: Hemen Dutta
Publisher: Springer Nature
ISBN: 3030152421
Category : Mathematics
Languages : en
Pages : 912
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Book Description
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.
Author: Wei Wu
Publisher: Springer Science & Business Media
ISBN: 3540357246
Category : Technology & Engineering
Languages : en
Pages : 545
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Book Description
This book is loaded with rich and stimulating articles by a roster of brilliant scholars, reflecting some recent trends in the frontier research of geomechanics. This collection of 32 contributions stems from an international workshop on "Modern Trends of Geomechanics" held in Vienna. The contributions span a wide range of topics and an enormous range of physical scales, from micromechanics at grain scale to engineering problems at large scale; from laboratory and field testing over constitutive modelling to numerical analysis. The key features of this book are: thermodynamics, multiphase continua and transport phenomena; constitutive modelling, localized bifurcation, micropolar theory, unsaturated soil, viscous and cyclic behaviour; numerical and analytical methods; discrete element method, micromechanics, grain crushing and damage; laboratory and field testing, foundation and mining engineering. This book will be rewarding for anyone interested in the frontier research in geomechanics and geotechnical engineering, appealing to graduate students, researchers and engineers alike.
Author: H. Triebel
Publisher: Springer Science & Business Media
ISBN: 9789027720771
Category : Mathematics
Languages : en
Pages : 494
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Book Description
Author: Vladimir V. Mityushev
Publisher: Birkhäuser
ISBN: 331912577X
Category : Mathematics
Languages : en
Pages : 842
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Book Description
This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics: - Differential Equations: Complex and Functional Analytic Methods - Nonlinear PDE - Qualitative Properties of Evolution Models - Differential and Difference Equations - Toeplitz Operators - Wavelet Theory - Topological and Geometrical Methods of Analysis - Queueing Theory and Performance Evaluation of Computer Networks - Clifford and Quaternion Analysis - Fixed Point Theory - M-Frame Constructions - Spaces of Differentiable Functions of Several Real Variables Generalized Functions - Analytic Methods in Complex Geometry - Topological and Geometrical Methods of Analysis - Integral Transforms and Reproducing Kernels - Didactical Approaches to Mathematical Thinking Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen.
