Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an up-to-date presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting in a unified, updated and a more accessible manner the results scattered in the literature the authors have prepared an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions.

Each year the world faces thousands of earthquakes of magnitude 5.0 or greater, resulting in devastating property destruction and tragic loss of life. To help avert these catastrophes, scientists have long searched for ways to predict when and where earthquakes will happen. The earth science establishment in the US says that earthquake prediction still lies outside the realm of possibility. But recent scientific developments across the globe suggest that seismic forecasting is on the horizon. Earthquake Prediction: Dawn of the New Seismology examines the latest scientific clues in hopes of discovering seismic precursors which may shed light on real earthquake prediction in the future. It is destined to be nothing less than an epoch-changing work, addressing this ancient enigma by joining the parts of a scientific detective story that ranges from the steppes of Russia to the coast of Chile, bringing to light astounding breakthroughs by researchers in Italy, India and elsewhere. Governments in countries such as China and Japan provide support for seismic forecasting, and it is time for our country to do the same. Earthquake Prediction makes the case, with an important message for the tens of millions of Americans on the US West Coast, the Mississippi River Valley, and other seismically active zones.

Why seismologists still can't predict earthquakes An earthquake can strike without warning and wreak horrific destruction and death, whether it's the catastrophic 2010 quake that took a devastating toll on the island nation of Haiti or a future great earthquake on the San Andreas Fault in California, which scientists know is inevitable. Yet despite rapid advances in earthquake science, seismologists still can’t predict when the Big One will hit. Predicting the Unpredictable explains why, exploring the fact and fiction behind the science—and pseudoscience—of earthquake prediction. Susan Hough traces the continuing quest by seismologists to forecast the time, location, and magnitude of future quakes. She brings readers into the laboratory and out into the field—describing attempts that have raised hopes only to collapse under scrutiny, as well as approaches that seem to hold future promise. She also ventures to the fringes of pseudoscience to consider ideas outside the scientific mainstream. An entertaining and accessible foray into the world of earthquake prediction, Predicting the Unpredictable illuminates the unique challenges of predicting earthquakes.

The special natural conditions in Iceland as well as high level technology, were the basis for multidisciplinary and multinational cooperation for studying crustal processes, especially processes ahead of large earthquakes. This work leads to new innovative results and real time warnings which are described in the book. The results obtained in Iceland are of significance for earthquake prediction research worldwide.

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.

As evidenced dramatically and tragically in 2011 alone,earthquakes cause devastation and their consequences in terms of human suffering and economic disaster can last for years or even decades. The VAN method of earthquake prediction, based on the detection and measurement of low frequency electric signals called Seismic Electric Signals (SES), has been researched and evaluated over 30 years, and now constitutes the only earthquake prediction effort that has led to concrete successful results. This book recounts the history of the VAN method, detailing how it has developed and been tested under international scrutiny. Earthquake Prediction by Seismic Electric Signals • describes, step by step, the development of the VAN method since 1981; • explains both the theoretical model underpinning the research and the physical properties of SES; • analyzes the SES recordings and the prediction for each major earthquake in Greece over the last 25 years; • introduces a new time domain, natural time, which plays a key role in predicting impending catastrophic events.

Improved Seismic Monitoringâ€"Improved Decision-Making, describes and assesses the varied economic benefits potentially derived from modernizing and expanding seismic monitoring activities in the United States. These benefits include more effective loss avoidance regulations and strategies, improved understanding of earthquake processes, better engineering design, more effective hazard mitigation strategies, and improved emergency response and recovery. The economic principles that must be applied to determine potential benefits are reviewed and the report concludes that although there is insufficient information available at present to fully quantify all the potential benefits, the annual dollar costs for improved seismic monitoring are in the tens of millions and the potential annual dollar benefits are in the hundreds of millions.