Gradient Flows PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Gradient Flows PDF full book. Access full book title Gradient Flows by Luigi Ambrosio. Download full books in PDF and EPUB format.
Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 376438722X
Category : Mathematics
Languages : en
Pages : 333
Get Book Here
Book Description
The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.
Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 376438722X
Category : Mathematics
Languages : en
Pages : 333
Get Book Here
Book Description
The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.
Author: Louis Auslander
Publisher: Princeton University Press
ISBN: 1400882028
Category : Mathematics
Languages : en
Pages : 107
Get Book Here
Book Description
The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.
Author: Andrew Ballantyne
Publisher: Routledge
ISBN: 0415585414
Category : Architecture
Languages : en
Pages : 266
Get Book Here
Book Description
Presenting a collection of exploratory ideas, this book offers an understanding of buildings, people and settlements through concepts of flow. The metaphorical term 'the space of flows' was coined by the sociologist Manuel Castells. This book addresses this topic and the interest in processes that flow across traditional boundaries from the person to the building, from the sense of self to the settlement, from economics to identity.
Author: David Wilson
Publisher:
ISBN: 9781612295527
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 3764373091
Category : Mathematics
Languages : en
Pages : 330
Get Book Here
Book Description
This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.
Author: Martina Löw
Publisher: Springer
ISBN: 1349695688
Category : Social Science
Languages : en
Pages : 321
Get Book Here
Book Description
In this book, the author develops a relational concept of space that encompasses social structure, the material world of objects and bodies, and the symbolic dimension of the social world. Löw’s guiding principle is the assumption that space emerges in the interplay between objects, structures and actions. Based on a critical discussion of classic theories of space, Löw develops a new dynamic theory of space that accounts for the relational context in which space is constituted. This innovative view on the interdependency of material, social, and symbolic dimensions of space also permits a new perspective on architecture and urban development.
Author: Richard T. LeGates
Publisher: Routledge
ISBN: 1317606272
Category : Architecture
Languages : en
Pages : 800
Get Book Here
Book Description
The sixth edition of the highly successful The City Reader juxtaposes the very best classic and contemporary writings on the city to provide the comprehensive mapping of the terrain of Urban Studies and Planning old and new. The City Reader is the anchor volume in the Routledge Urban Reader Series and is now integrated with all ten other titles in the series. This edition has been extensively updated and expanded to reflect the latest thinking in each of the disciplinary areas included and in topical areas such as compact cities, urban history, place making, sustainable urban development, globalization, cities and climate change, the world city network, the impact of technology on cities, resilient cities, cities in Africa and the Middle East, and urban theory. The new edition places greater emphasis on cities in the developing world, globalization and the global city system of the future. The plate sections have been revised and updated. Sixty generous selections are included: forty-four from the fifth edition, and sixteen new selections, including three newly written exclusively for The City Reader. The sixth edition keeps classic writings by authors such as Ebenezer Howard, Ernest W. Burgess, LeCorbusier, Lewis Mumford, Jane Jacobs, and Louis Wirth, as well as the best contemporary writings of, among others, Peter Hall, Manuel Castells, David Harvey, Saskia Sassen, and Kenneth Jackson. In addition to newly commissioned selections by Yasser Elshestawy, Peter Taylor, and Lawrence Vale, new selections in the sixth edition include writings by Aristotle, Peter Calthorpe, Alberto Camarillo, Filip DeBoech, Edward Glaeser, David Owen, Henri Pirenne, The Project for Public Spaces, Jonas Rabinovich and Joseph Lietman, Doug Saunders, and Bish Sanyal. The anthology features general and section introductions as well as individual introductions to the selected articles introducing the authors, providing context, relating the selection to other selection, and providing a bibliography for further study. The sixth edition includes fifty plates in four plate sections, substantially revised from the fifth edition.
Author: Barry Blesser
Publisher: MIT Press
ISBN: 026251317X
Category : Architecture
Languages : en
Pages : 453
Get Book Here
Book Description
How we experience space by listening: the concepts of aural architecture, with examples ranging from Gothic cathedrals to surround sound home theater. We experience spaces not only by seeing but also by listening. We can navigate a room in the dark, and "hear" the emptiness of a house without furniture. Our experience of music in a concert hall depends on whether we sit in the front row or under the balcony. The unique acoustics of religious spaces acquire symbolic meaning. Social relationships are strongly influenced by the way that space changes sound. In Spaces Speak, Are You Listening?, Barry Blesser and Linda-Ruth Salter examine auditory spatial awareness: experiencing space by attentive listening. Every environment has an aural architecture.The audible attributes of physical space have always contributed to the fabric of human culture, as demonstrated by prehistoric multimedia cave paintings, classical Greek open-air theaters, Gothic cathedrals, acoustic geography of French villages, modern music reproduction, and virtual spaces in home theaters. Auditory spatial awareness is a prism that reveals a culture's attitudes toward hearing and space. Some listeners can learn to "see" objects with their ears, but even without training, we can all hear spatial geometry such as an open door or low ceiling. Integrating contributions from a wide range of disciplines—including architecture, music, acoustics, evolution, anthropology, cognitive psychology, audio engineering, and many others—Spaces Speak, Are You Listening? establishes the concepts and language of aural architecture. These concepts provide an interdisciplinary guide for anyone interested in gaining a better understanding of how space enhances our well-being. Aural architecture is not the exclusive domain of specialists. Accidentally or intentionally, we all function as aural architects.
Author: Daniele La Rosa
Publisher: Springer Nature
ISBN: 3030688240
Category : Science
Languages : en
Pages : 639
Get Book Here
Book Description
This book gathers the latest advances, innovations, and applications in urban and regional planning processes and science, as presented by international researchers at the 11th International Conference on Innovation in Urban and Regional Planning (INPUT), held in Catania, Italy, on September 8-10, 2021. The overarching theme of the conference INPUT 2021 was “Integrating Nature-Based Solutions in Planning Science and Practice”, with contributes focusing on functionality of urban ecosystems toward more healthier and resilient cities, planning solutions for socio-ecological systems, technologies and hybrid models for spatial planning, geodesign, urban metabolism, computational planning, ecosystems services, green infrastructure, climate change adaptation and mitigation, rural landscapes, cultural heritage, and accessibility for urban planning. The conference brought together international scholars in the field of planning, civil engineering and architecture, ecology and social science, to build and consolidate the knowledge and evidence on NBS in urban and regional planning.
Author: Andrew Ballantyne
Publisher: Routledge
ISBN: 1135722870
Category : Architecture
Languages : en
Pages : 266
Get Book Here
Book Description
Traditionally, architecture has been preoccupied with the resolution of form. That concern helps to make photogenic buildings, which have received a great deal of attention. This book looks instead at the idea of the flows, which connects things together and moves between things. It is more difficult to discuss, but more necessary, because it is what makes things work. Architects have to think about flow – the flow of people through buildings, the flow of energy into buildings, and waste out of them – but usually the effects of flow do not find expression. The essays gathered here present a collection of exploratory ideas and offer an understanding of buildings, people and settlements through concepts of flow.
