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1. |
Record Nr. |
UNINA9910151936903321 |
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Autore |
Christodoulou Demetrios |
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Titolo |
The Formation of Shocks in 3-Dimensional Fluids [[electronic resource] /] / Demetrios Christodoulou |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (1000 pages) |
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Collana |
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EMS Monographs in Mathematics (EMM) ; , 2523-5192 |
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Classificazione |
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Soggetti |
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Differential equations |
Fluid mechanics |
Partial differential equations |
Global analysis, analysis on manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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The equations describing the motion of a perfect fluid were first formulated by Euler in 1752. These equations were among the first partial differential equations to be written down, but, after a lapse of two and a half centuries, we are still far from adequately understanding the observed phenomena which are supposed to lie within their domain of validity. These phenomena include the formation and evolution of shocks in compressible fluids, the subject of the present monograph. The first work on shock formation was done by Riemann in 1858. However, his analysis was limited to the simplified case of one space dimension. Since then, several deep physical insights have been attained and new methods of mathematical analysis invented. Nevertheless, the theory of the formation and evolution of shocks in real three-dimensional fluids has remained up to this day fundamentally incomplete. This monograph considers the relativistic Euler equations in three space dimensions for a perfect fluid with an arbitrary equation of state. We consider initial data for these equations which outside a sphere coincide with the data corresponding to a constant state. Under suitable restriction on the size of the initial |
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departure from the constant state, we establish theorems that give a complete description of the maximal classical development. In particular, it is shown that the boundary of the domain of the maximal classical development has a singular part where the inverse density of the wave fronts vanishes, signalling shock formation. The theorems give a detailed description of the geometry of this singular boundary and a detailed analysis of the behavior of the solution there. A complete picture of shock formation in three-dimensional fluids is thereby obtained. The approach is geometric, the central concept being that of the acoustical spacetime manifold. The monograph will be of interest to people working in partial differential equations in general and in fluid mechanics... |
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2. |
Record Nr. |
UNINA9910372751803321 |
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Autore |
Herva Vesa-Pekka |
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Titolo |
Northern archeology and cosmology : a relational view / / Vesa-Pekka Herva, and Antti Lahelma |
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Pubbl/distr/stampa |
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2019 |
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London ; ; New York : , : Routledge, , 2020 |
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©2020 |
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ISBN |
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0-429-78349-3 |
1-138-35901-7 |
0-429-78351-5 |
0-429-78350-7 |
0-429-43394-8 |
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Edizione |
[1 ed.] |
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Descrizione fisica |
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1 online resource (213 pages) |
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Classificazione |
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Disciplina |
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Soggetti |
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Excavations (Archaeology) - Europe, Northern |
Excavations (Archaeology) - Arctic regions |
Folklore - Europe, Northern |
Folklore - Arctic regions |
Europe, Northern Antiquities |
Arctic regions Antiquities |
Europe, Northern Mythology |
Arctic regions Mythology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction : northern exposure -- Stone-worlds -- Houses, land and soil -- Forests and hunting -- Coastal landscapes and the sea -- Boats and waterways -- River mouths and central places -- Birds and cosmology -- The sun, light and fire -- Epilogue |
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Sommario/riassunto |
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"In its analysis of the archaeologies and histories of the northern fringe of Europe, this book provides a focus on animistic-shamanistic cosmologies and the associated human-environment relations from the Neolithic to modern times. The North has fascinated Europeans throughout history, as an enchanted world of natural and supernatural marvels: a land of light and dark, of northern lights and the midnight sun, of witches and magic, and of riches ranging from amber to oil. Northern lands conflate fantasies and realities. Rich archaeological, historical, ethnographic and folkloric materials combine in this book with cutting-edge theoretical perspectives drawn from relational ontologies and epistemologies, producing a fresh approach on the prehistory and history of a region that is pivotal to understanding Europe-wide processes, such as Neolithization and modernization. This book examines the mythical and actual northern worlds, with northern relational modes of perceiving and engaging with the world on the one hand and the 'place' of the North in European culture on the other. This book is an indispensable read for scholars of anthropology and folklore in northern Europe, as well as those with an interest in the political and geographical conflicts that can occur in this region. It provides a deep-time understanding of globally topical issues and conflicting interests, as expressed by debates and controversies around Arctic resources, nature preservation, and indigenous rights"-- |
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