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Trends in Partial Differential Equations
Trends in Partial Differential Equations --
Geometric Analysis and PDEs
This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.
The Golden Anniversary Celebration of the National Association of Mathematicians
This volume is put together by the National Association of Mathematicians to commemorate its 50th anniversary. The articles in the book are based on lectures presented at several events at the Joint Mathematics Meeting held from January 16–19, 2019, in Baltimore, Maryland, including the Claytor-Woodard Lecture as well as the NAM David Harold Blackwell Lecture, which was held on August 2, 2019, in Cincinnati, Ohio.
Proceedings of 20th International Conference on Industrial Engineering and Engineering Management
The International Conference on Industrial Engineering and Engineering Management is sponsored by the Chinese Industrial Engineering Institution, CMES, which is the only national-level academic society for Industrial Engineering. The conference is held annually as the major event in this arena. Being the largest and the most authoritative international academic conference held in China, it provides an academic platform for experts and entrepreneurs in the areas of international industrial engineering and management to exchange their research findings. Many experts in various fields from China and around the world gather together at the conference to review, exchange, summarize and promote th...
Monge Ampere Equation: Applications to Geometry and Optimization
In recent years, the Monge Ampère Equation has received attention for its role in several new areas of applied mathematics: as a new method of discretization for evolution equations of classical mechanics, such as the Euler equation, flow in porous media, Hele-Shaw flow, etc.; as a simple model for optimal transportation and a div-curl decomposition with affine invariance; and as a model for front formation in meteorology and optimal antenna design. These applications were addressed and important theoretical advances presented at a NSF-CBMS conference held at Florida Atlantic University (Boca Raton). L. Cafarelli and other distinguished specialists contributed high-quality research results and up-to-date developments in the field. This is a comprehensive volume outlining current directions in nonlinear analysis and its applications.
Extrinsic Geometric Flows
Extrinsic geometric flows are characterized by a submanifold evolving in an ambient space with velocity determined by its extrinsic curvature. The goal of this book is to give an extensive introduction to a few of the most prominent extrinsic flows, namely, the curve shortening flow, the mean curvature flow, the Gauß curvature flow, the inverse-mean curvature flow, and fully nonlinear flows of mean curvature and inverse-mean curvature type. The authors highlight techniques and behaviors that frequently arise in the study of these (and other) flows. To illustrate the broad applicability of the techniques developed, they also consider general classes of fully nonlinear curvature flows. The bo...
Facets of Algebraic Geometry
Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.
The Impacts of Climate Change and Human Activities on the Structure and Function of Wetland/Grassland Ecosystems
Wetlands and grassland are important components of natural ecosystems, which have rich values in maintaining ecological balance, regional economy and human development. Wetlands can provide freshwater resources and food sources for human beings, purify the water environment and mitigate climate change. The grassland ecosystem has such ecological functions as windbreak, sand fixation, soil preservation, climate regulation, air purification, water conservation and so on, which are closely related to human survival and well-being. In recent years, climate change and human activities have caused a profound impact on the structure and function of wetland and grassland ecosystems, and the problems of decline in size and function have attracted extensive attention from researchers globally. However, there are still many uncertainties about the variety of wetland and grassland ecosystem composition, structure and dynamics, as well as how they respond and adapt to climate change and human activities.
