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The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws—PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, ...
Making Political Ecology
Making Political Ecology presents a comprehensive view of an important new field in human geography and interdisciplinary studies of nature-society relations. Tracing the development of political ecology from its origins in geography and ecological anthropology in the 1970s, to its current status as an established field, the book investigates how late twentieth-century developments in social and ecological theories are brought together to create a powerful framework for comprehending environmental problems. Making Political Ecology argues for an inclusionary conceptualization of the field, which absorbs empirical studies from urban, rural, First World and Third World contexts and the theoretical insights of feminism, poststructuralism, neo-Marxism and non-equilibrium ecology. Throughout the book, excerpts from the writings of key figures in political ecology provide an empirical grounding for abstract theoretical concepts. Making Political Ecology will convince readers of political ecology's particular suitability for grappling with the most difficult questions concerning social justice, environmental change and human relationships with nature.
Advances in Applied Mechanics
This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied mechanics
Recent Advances in Computational Sciences
This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schrodinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book. This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.
Kernel Functions and Elliptic Differential Equations in Mathematical Physics
This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.
