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Titlebook: Hyperbolic Systems of Conservation Laws; The Theory of Classi Philippe G. LeFloch Book 2002 Springer Basel AG 2002 Partial differential equ

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发表于 2025-3-21 16:06:08 | 显示全部楼层 |阅读模式
书目名称Hyperbolic Systems of Conservation Laws
副标题The Theory of Classi
编辑Philippe G. LeFloch
视频video
丛书名称Lectures in Mathematics. ETH Zürich
图书封面Titlebook: Hyperbolic Systems of Conservation Laws; The Theory of Classi Philippe G. LeFloch Book 2002 Springer Basel AG 2002 Partial differential equ
描述This set of lecture notes was written for a Nachdiplom-Vorlesungen course given at the Forschungsinstitut fUr Mathematik (FIM), ETH Zurich, during the Fall Semester 2000. I would like to thank the faculty of the Mathematics Department, and especially Rolf Jeltsch and Michael Struwe, for giving me such a great opportunity to deliver the lectures in a very stimulating environment. Part of this material was also taught earlier as an advanced graduate course at the Ecole Poly technique (Palaiseau) during the years 1995-99, at the Instituto Superior Tecnico (Lisbon) in the Spring 1998, and at the University of Wisconsin (Madison) in the Fall 1998. This project started in the Summer 1995 when I gave a series of lectures at the Tata Institute of Fundamental Research (Bangalore). One main objective in this course is to provide a self-contained presentation of the well-posedness theory for nonlinear hyperbolic systems of first-order partial differential equations in divergence form, also called hyperbolic systems of con­ servation laws. Such equations arise in many areas of continuum physics when fundamental balance laws are formulated (for the mass, momentum, total energy . . . of a fluid
出版日期Book 2002
关键词Partial differential equations; Phase; Potential; Wave; compressible fluids; hyperbolic equation; linearit
版次1
doihttps://doi.org/10.1007/978-3-0348-8150-0
isbn_softcover978-3-7643-6687-2
isbn_ebook978-3-0348-8150-0
copyrightSpringer Basel AG 2002
The information of publication is updating

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https://doi.org/10.1007/978-3-0348-8150-0Partial differential equations; Phase; Potential; Wave; compressible fluids; hyperbolic equation; linearit
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Fundamental Concepts and ExamplesIn this first chapter, we present some basic definitions and concepts which will be of constant use in this course. We also discuss the main difficulties of the theory and briefly indicate the main results to be established in the forthcoming chapters.
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Diagnostic ultrasound is non-invasive and harmless—important advantages in the woman with an unsuspected pregnancy. With ultrasonography (USG), the presence of an Intrauterine contraceptive device (IUD) in the uterus can be assessed and its position demonstrated (Cochrane and Thomas, 1972; Iannirub
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Philippe G. LeFlochUSA, October 1982. The papers evaluate biologic interactions be­ tween intrauterine contraceptive devices and the host, examine the risks associated with the use of these devices and describe aspects of technical progress in the field. The contributing authors bring their knowledge and expertise fro
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Philippe G. LeFlochancers [1]. CNS cancer ranks tenth in terms of mortality [1]. Eastern Asia has the highest cases and fatality rate, followed by South-Central Asia and Northern America. According to GLOBOCAN, males show higher global incidence (168,346 cases; cumulative risk: 0.40) and mortality rates (138,277 death
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Philippe G. LeFlochto 3.1% and ninth in mortality with 3,41,831 deaths accounting to 3.4% [1]. In females, it is the fourth among cancers in incidence (6.5%) and mortality (7.7%) [1]. The incidence and mortality rates were very high in south central Asia (1,48,128 new cases and 91,985 deaths) and eastern Asia (1,29,56
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