Nonlinear Thermoelasticity PDF Download
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Author: Rastko Stojanovic
Publisher: Springer
ISBN: 3709128560
Category : Science
Languages : en
Pages : 85
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Book Description
Author: Rastko Stojanovic
Publisher: Springer
ISBN: 3709128560
Category : Science
Languages : en
Pages : 85
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Book Description
Author: Clifford Truesdell
Publisher: Springer
ISBN: 3662397765
Category : Technology & Engineering
Languages : en
Pages : 755
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Book Description
Author: Reinhard Racke
Publisher: CRC Press
ISBN: 9781584882152
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments. Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.
Author: Reinhard Racke
Publisher: Birkhäuser
ISBN: 3319218735
Category : Mathematics
Languages : en
Pages : 315
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Book Description
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.
Author: H Beirao Da Veiga
Publisher: World Scientific
ISBN: 981455166X
Category :
Languages : en
Pages : 230
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Book Description
This book provides an introduction for graduate students and advanced undergraduate students to the field of astrophysical fluid dynamics. Although sometimes ignored, fluid dynamical processes play a central role in virtually all areas of astrophysics.No previous knowledge of fluid dynamics is assumed. After establishing the basic equations of fluid dynamics and the physics relevant to an astrophysical application, a variety of topics in the field are addressed. There is also a chapter introducing the reader to numerical methods. Appendices list useful physical constants and astronomical quantities, and provide handy reference material on Cartesian tensors, vector calculus in polar coordinates, self-adjoint eigenvalue problems and JWKB theory./a
Author: Yuming Qin
Publisher: Springer Science & Business Media
ISBN: 3764388145
Category : Mathematics
Languages : en
Pages : 472
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Book Description
This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.
Author: M K V Murthy
Publisher: CRC Press
ISBN: 9780582087668
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.
Author: Yuejun Peng
Publisher: World Scientific
ISBN: 9814322881
Category : Mathematics
Languages : en
Pages : 464
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Book Description
This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.
Author: Jan Awrejcewicz
Publisher: Springer
ISBN: 9783642720819
Category : Science
Languages : en
Pages : 0
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Book Description
This book covers developments in the theory of oscillations from diverse viewpoints, reflecting the fields multidisciplinary nature. It introduces the state-of-the-art in the theory and various applications of nonlinear dynamics. It also offers the first treatment of the asymptotic and homogenization methods in the theory of oscillations in combination with Pad approximations. With its wealth of interesting examples, this book will prove useful as an introduction to the field for novices and as a reference for specialists.
Author: D. Iesan
Publisher: Springer Science & Business Media
ISBN: 1402023103
Category : Science
Languages : en
Pages : 309
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Book Description
This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
