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Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, an...
The meeting in Birmingham, Alabama, provided a forum for the discussion of recent developments in the theory of ordinary and partial differential equations, both linear and non-linear, with particular reference to work relating to the equations of mathematical physics. The meeting was attended by about 250 mathematicians from 22 countries. The papers in this volume all involve new research material, with at least outline proofs; some papers also contain survey material. Topics covered include: Schrödinger theory, scattering and inverse scattering, fluid mechanics (including conservative systems and inertial manifold theory attractors), elasticity, non-linear waves, and feedback control theory.
Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
Written by award-winning CQ Researcher journalists, this collection of non-partisan reports offers an in-depth examination of today’s most pressing global issues. With reports ranging from preparation for global pandemics, protest movements around the world, and environmental degradation, the 2021 Edition of Global Issues promotes in-depth discussion, facilitates further research, and helps readers formulate their own positions on crucial global issues. And because it’s CQ Researcher, the reports are expertly researched and written, presenting readers with all sides of an issue. Key Features Chapters follow a consistent organization, beginning with a summary of the issue, then exploring a number of key questions around the issue, next offering background to put the issue into current context, and concluding with a look ahead. A pro/con debate box in every chapter offers readers the opportunity to critically analyze and discuss the issues by exploring a debate between two experts in the field. All issues include a chronology, a bibliography, photos, charts, and figures to offer readers a more complete picture of the issue at hand.
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
Volume 2 of 2 - With more than 5,100 listings of grants programs from 1,880 sponsors, the Directory of Research Grants is a comprehensive directory of grants available to researchers in every field of study. The directory has a broad focus, featuring grants for basic research, equipment acquisition, building construction/renovation, fellowships, and 23 other program types. Government grants include CFDA, NSF and NIH program numbers. Each record includes grant title, description, requirements, amount, application deadline, contact information (phone, fax and email), web address, sponsor name and address, and samples of awarded grants (when available). Printed in two volumes, each with extensive indexes - subject, program type and geographic to help you to identify the right program quickly.
The work of industrial designer Ineke Hans presented in a (black) setting. 'No colour is just a colour, especially back'.