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Nonlinear Mechanics of Soft Fibrous Materials
The book presents a state-of-the-art overview of the fundamental theories, established models and ongoing research related to the modeling of these materials. Two approaches are conventionally used to develop constitutive relations for highly deformable fibrous materials. According to the phenomenological approach, a strain energy density function can be defined in terms of strain invariants. T…
- Edition
- 1
- ISBN/ISSN
- 0254-1971
- Collation
- VII, 305
- Series Title
- CISM International Centre for Mechanical Sciences
- Call Number
- -
Nonlinear Mathematical Physics and Natural Hazards
This book is devoted to current advances in the field of nonlinear mathematical physics and modeling of critical phenomena that can lead to catastrophic events. Pursuing a multidisciplinary approach, it gathers the work of scientists who are developing mathematical and computational methods for the study and analysis of nonlinear phenomena and who are working actively to apply these tools and c…
- Edition
- 1
- ISBN/ISSN
- 0930-8989
- Collation
- XXVI, 141
- Series Title
- Springer Proceedings in Physics
- Call Number
- -
Non-equilibrium Dynamics of One-Dimensional Bose Gases
This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-38700-0
- Collation
- XV, 146
- Series Title
- Springer Theses
- Call Number
- -
Stochastic Equations for Complex Systems
The purpose of these notes is to provide an introduction to the Malliavin calculus and its recent application to quantitative results in normal approximations, in combination with Stein’s method. The basic differential operators of the Malliavin calculus and their main properties are presented. We explain the connection of these operators with the Wiener chaos expansion and the Ornstein-Uh…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18206-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Stochastic Dynamics of Crystal Defects
The state of a deformed crystal is highly heterogeneous, with plasticity localised into linear and point defects such as dislocations, vacancies and interstitial clusters. The motion of these defects dictate a crystal’s mechanical behaviour, but defect dynamics are complicated and correlated by external applied stresses, internal elastic interactions and the fundamentally stochastic influ…
- Edition
- -
- ISBN/ISSN
- 978-3-319-20019-4
- Collation
- -
- Series Title
- -
- Call Number
- -
Stochastic Dynamics and Irreversibility
Erratic or irregular movements, which we call unpredictable or random, occur spontaneously and are essential part of microscopic and macroscopic worlds. When superimposed to the predictable movements, they make up the random fluctuations sometimes called noise. Heat and temperature are macroscopic manifestations of these fluctuations at the microscopic level, and statistical physics constit…
- Edition
- -
- ISBN/ISSN
- 978-3-319-11770-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Stochastic Dominance
Concepts similar to stochastic dominance have been known for many years, but the three papers published by Hadar and Russell and Hanoch and Levy in 1969 and by Rothschild and Stiglitz in 19701 paved the way for a new paradigm called stochastic dominance (SD), with hundreds of studies following these three studies. While Hanoch and Levy and Hadar and Russell developed First and Second degree…
- Edition
- -
- ISBN/ISSN
- 978-3-319-21708-6
- Collation
- -
- Series Title
- -
- Call Number
- -
Stochastic Control Theory
The purpose of this book is to provide an introduction to stochastic controls theory, via the method of dynamic programming. The dynamic programming principle, originated by R. Bellman in 1950s, is known as the two stage optimization procedure. When we control the behavior of a stochastic dynamical system in order to optimize some payoff or cost function, which depends on the control inputs…
- Edition
- -
- ISBN/ISSN
- 978-4-431-55123-2
- Collation
- -
- Series Title
- -
- Call Number
- -
Stochastic Calculus and Applications
The theory of probability and stochastic calculus has grown significantly since the publication of the first edition of this book. The theory of stochastic integration and semimartingales, a relatively recent development at the time of the first edition, is now a standard and significant part of the working mathematician’s toolkit. Concepts such as Backward SDEs, which were unheard of in 1…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-2867-5
- Collation
- -
- Series Title
- -
- Call Number
- -
Theory of Transformation Groups I
This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of example…
- Edition
- -
- ISBN/ISSN
- 978-3-662-46211-9
- Collation
- 7 illustrations in colour
- Series Title
- -
- Call Number
- -
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