Chongbin Zhao Livres

Focusing on theoretical and computational findings, this monograph explores dissolution front instability in porous media, drawing from the author's research. While it includes numerical results, the primary emphasis is on theoretical aspects relevant to various scientific and engineering challenges involving nonlinear dynamic systems. The use of common mathematical notations makes the content accessible, making it suitable as a textbook for postgraduate students and a reference for computational scientists, mathematicians, engineers, and geoscientists.

Provides a state-of-the-art theory and the application of dynamic and transient infinite elements for simulating the far fields of infinite domains involved in many scientific problems

Geoscience is a fundamental natural science discipline dealing with the origin, evolutionary history and behaviour of the planet Earth. As a result of its complicated and complex nature, the Earth system not only provides the necessary materials and environment for mankind to live, but also brings many types of natural disasters, such as earthquakes, volcanic eruptions, tsunamis, ? oods and tornadoes, to mention just a few. With the ever-increasing demand for improving our living standards, it has been recognized that the existing natural resources will be exhausted in the near future and that our living environments are, in fact, deteriorating. To maintain the sustainable development of our living standards and the further improvement of our living environments, an inevitable and challenging task that geoscientists are now confronting is how accurately to predict not only the occurrences of these natural disasters, but also the locations of large concealed natural resources in the deepEarth. For this reason, geoscientists must study the processes, rules and laws, by which the Earth system operates, instead of simply describing and observing g- science phenomena.

Derivation of analytical solutions to advanced problems involving fluid and thermal transport in rocks with associated benchmark solutions