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Nonlinear Mathematical Physics and Natural Hazards

Author: Boyka Aneva

Publisher: Springer

Published: 2015-02-12

Total Pages: 157

ISBN-13: 331914328X

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 create conditions to mitigate and reduce the negative consequences of natural and socio-economic disaster risk. This book summarizes the contributions of the International School and Workshop on Nonlinear Mathematical Physics and Natural Hazards, organized within the framework of the South East Europe Network in Mathematical and Theoretical Physics (SEENET MTP) and supported by UNESCO. It was held at the Bulgarian Academy of Sciences from November 28 to December 2, 2013. The contributions are divided into two major parts in keeping with the scientific program of the meeting. Among the topics covered in Part I (Nonlinear Mathematical Physics towards Critical Phenomena) are predictions and correlations in self organized criticality, space-time structure of extreme current and activity events in exclusion processes, quantum spin chains and integrability of many-body systems, applications of discriminantly separable polynomials, MKdV-type equations, and chaotic behavior in Yang-Mills theories. Part II (Seismic Hazard and Risk) is devoted to probabilistic seismic hazard assessment, seismic risk mapping, seismic monitoring, networking and data processing in Europe, mainly in South-East Europe. The book aims to promote collaboration at the regional and European level to better understand and model phenomena that can cause natural and socio-economic disasters, and to contribute to the joint efforts to mitigate the negative consequence of natural disasters. This collection of papers reflects contemporary efforts on capacity building through developing skills, exchanging knowledge and practicing mathematical methods for modeling nonlinear phenomena, disaster risk preparedness and natural hazards mitigation. The target audience includes students and researchers in mathematical and theoretical physics, earth physics, applied physics, geophysics, seismology and earthquake danger and risk mitigation.

Nonlinear Mathematical Physics and Natural Hazards

Author: Boyka Aneva

Publisher:

Published: 2015

Total Pages: 0

ISBN-13: 9783319143293

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Pre-Earthquake Processes

Author: Dimitar Ouzounov

Publisher: John Wiley & Sons

Published: 2018-05-30

Total Pages: 384

ISBN-13: 1119156955

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Pre-Earthquake signals are advanced warnings of a larger seismic event. A better understanding of these processes can help to predict the characteristics of the subsequent mainshock. Pre-Earthquake Processes: A Multidisciplinary Approach to Earthquake Prediction Studies presents the latest research on earthquake forecasting and prediction based on observations and physical modeling in China, Greece, Italy, France, Japan, Russia, Taiwan, and the United States. Volume highlights include: Describes the earthquake processes and the observed physical signals that precede them Explores the relationship between pre-earthquake activity and the characteristics of subsequent seismic events Encompasses physical, atmospheric, geochemical, and historical characteristics of pre-earthquakes Illustrates thermal infrared, seismo–ionospheric, and other satellite and ground-based pre-earthquake anomalies Applies these multidisciplinary data to earthquake forecasting and prediction Written for seismologists, geophysicists, geochemists, physical scientists, students and others, Pre-Earthquake Processes: A Multidisciplinary Approach to Earthquake Prediction Studies offers an essential resource for understanding the dynamics of pre-earthquake phenomena from an international and multidisciplinary perspective.

From Particle Systems to Partial Differential Equations II

Author: Patrícia Gonçalves

Publisher: Springer

Published: 2015-04-04

Total Pages: 395

ISBN-13: 3319166379

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This book focuses on mathematical problems concerning different applications in physics, engineering, chemistry and biology. It covers topics ranging from interacting particle systems to partial differential equations (PDEs), statistical mechanics and dynamical systems. The purpose of the second meeting on Particle Systems and PDEs was to bring together renowned researchers working actively in the respective fields, to discuss their topics of expertise and to present recent scientific results in both areas. Further, the meeting was intended to present the subject of interacting particle systems, its roots in and impacts on the field of physics and its relation with PDEs to a vast and varied public, including young researchers. The book also includes the notes from two mini-courses presented at the conference, allowing readers who are less familiar with these areas of mathematics to more easily approach them. The contributions will be of interest to mathematicians, theoretical physicists and other researchers interested in interacting particle systems, partial differential equations, statistical mechanics, stochastic processes, kinetic theory, dynamical systems and mathematical modeling aspects.

Spinning Strings and Correlation Functions in the AdS/CFT Correspondence

Author: Juan Miguel Nieto

Publisher: Springer

Published: 2018-07-21

Total Pages: 187

ISBN-13: 3319960202

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This book addresses several aspects of the integrable structure of the AdS/CFT correspondence. In particular it presents computations made on both sides of the AdS/CFT correspondence, at weak and at strong coupling. On the string theory side of the correspondence, the book focuses on the evaluation of the energy spectrum of closed string solutions moving in some deformed backgrounds that preserve integrability. On the gauge theory side, it explores various formal problems arising in the computation of two and three-point functions by means of the Algebraic Bethe Ansatz and the Quantum Inverse Scattering method. The book features numerous results on integrability in the context of the AdS/CFT correspondence. Self-contained and pedagogical, it includes general discussions and detailed presentations on the use of integrable systems techniques and their applications.

Extreme Man-Made and Natural Hazards in Dynamics of Structures

Author: Adnan Ibrahimbegovic

Publisher: Springer Science & Business Media

Published: 2007-05-16

Total Pages: 392

ISBN-13: 1402056567

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This book provides a critical assessment of current knowledge and indicates new challenges which are brought about at present times by fighting man-made and natural hazards in transient analysis of structures. The latter concerns both permanently fixed structures, such as those built to protect people and/or sensitive storage material; or special structures, like bridges and tunnels; and moving structures such as trains, planes, ships or cars.

Irregularities and Prediction of Major Disasters

Author: Yi Lin

Publisher: CRC Press

Published: 2010-03-18

Total Pages: 630

ISBN-13: 1420087460

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Although scientists have effectively employed the concepts of probability to address the complex problem of prediction, modern science still falls short in establishing true predictions with meaningful lead times of zero-probability major disasters. The recent earthquakes in Haiti, Chile, and China are tragic reminders of the critical need for

Earthquakes and Sustainable Infrastructure

Author: Giuliano Panza

Publisher: Elsevier

Published: 2021-05-21

Total Pages: 672

ISBN-13: 0128235411

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Earthquakes and Sustainable Infrastructure: Neodeterministic (NDSHA) Approach Guarantees Prevention Rather Than Cure communicates in one comprehensive volume the state-of-the-art scientific knowledge on earthquakes and related risks. Earthquakes occur in a seemingly random way and, in some cases, it is possible to trace seismicity back to the concept of deterministic chaos. Therefore, seismicity can be explained by a deterministic mechanism that arises as a result of various convection movements in the Earth’s mantle, expressed in the modern movement of lithospheric plates fueled by tidal forces. Consequently, to move from a perspective focused on the response to emergencies to a new perspective based on prevention and sustainability, it is necessary to follow this neodeterministic approach (NDSHA) to guarantee prevention, saving lives and infrastructure. This book describes in a complete and consistent way an effective explanation to complex structures, systems, and components, and prescribes solutions to practical challenges. It reflects the scientific novelty and promises a feasible, workable, theoretical and applicative attitude. Earthquakes and Sustainable Infrastructure serves a “commentary role” for developers and designers of critical infrastructure and unique installations. Commentary-like roles follow standard, where there is no standard. Mega-installations embody/potentiate risks; nonetheless, lack a comprehensive classic standard. Every compound is unique, one of its kind, and differs from others even of similar function. There is no justification to elaborate a common standard for unique entities. On the other hand, these specific installations, for example, NPPs, Naval Ports, Suez Canal, HazMat production sites, and nuclear waste deposits, impose security and safety challenges to people and the environment. The book offers a benchmark for entrepreneurs, designers, constructors, and operators on how to compile diverse relevant information on site-effects and integrate it into the best-educated guess to keep safe and secure, people and environment. The authors are eager to convey the entire information and explanations to our readers, without missing either accurate information or explanations. That is achieved by “miniaturization,” as much is possible, not minimization. So far, the neodeterministic method has been successfully applied in numerous metropolitan areas and regions such as Delhi (India), Beijing (China), Naples (Italy), Algiers (Algeria), Cairo (Egypt), Santiago de Cuba (Cuba), Thessaloniki (Greece), South-East Asia (2004), Tohoku, Japan (2011), Albania (2019), Bangladesh, Iran, Sumatra, Ecuador, and elsewhere. Earthquakes and Sustainable Infrastructure includes case studies from these areas, as well as suggested applications to other seismically active areas around the globe. NDSHA approaches confirm/validate that science is looming to warn. Concurrently, leaders and practitioners have to learn to use rectified science in favor of peoples' safety. State-of-the-art science does have the know-how to reduce casualties and structural damage from potential catastrophes to a bearable incident. The only book to cover earthquake prediction and preparation from a neo-deterministic (NDSHA) approach Includes case studies from metropolitan areas where the neo-deterministic method has been successfully applied Editors and authors include top experts in academia, disaster prevention, and preparedness management

Non Linear Mathematics Vol. I

Author: Thomas L., Saaty

Publisher: RWS Publications

Published: 2014-12-22

Total Pages: 404

ISBN-13: 1888603380

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"We are surrounded and deeply involved, in the natural world, with non- linear events which are not necessarily mathematical," the authors write. "For example . . . the nonlinear problem of pedalling a bicycle up and down a hillside. On a grand scale . . . the struggle for existence between two species, one of which preys exclusively on the other." This book is' for mathematicians and researchers who believe that "nonlinear mathematics is' the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topics found in the -scattered literature. Accessible to non- mathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research towards a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation and errors."

Nonlinear Mathematics

Author: Thomas L. Saaty

Publisher: Dover Publications

Published: 1964

Total Pages: 381

ISBN-13: 9780486642338

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"We are surrounded and deeply involved, in the natural world, with nonlinear events which are not necessarily mathematical," the authors write. "For example … the nonlinear problem of pedaling a bicycle up and down a hillside. On a grand scale … the struggle for existence between two species, one of which preys exclusively on the other." This book is for mathematicians and researchers who believe that "nonlinear mathematics is the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topic found in the scattered literature. Accessible to nonmathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research toward a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation, and errors." Contents include: Linear and nonlinear transformations Nonlinear algebraic and transcendental equations Nonlinear optimization; nonlinear programming and systems of inequalities Nonlinear ordinary differential equations Introduction to automatic control and the Pontryagin principle Linear and nonlinear prediction theory Exercises are given as guides through theorem proofs and methodology. Extensive bibliographies are appended to each section. "We have tried," write the authors, "to give more than a compilation of known techniques, to convey a spirit. In this spirit we integrate different topics of mathematics to show their interrelations, to stimulate inventiveness through variety, and to emphasize their origins from interaction with natural phenomena in physics, engineering, and economics." This examination of nonlinear mathematics gives a panoramic introduction (suitable for self-study) to a crucial field in contemporary research.