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  • 1
    Online Resource
    Online Resource
    Nonlinear Conservation Laws, Fluid Systems and Related Topics. (2009)
    BeiJing :Higher Education Press Limited Company,
    Details
    Keywords: Fluid dynamics--Mathematics. ; Electronic books.
    Description / Table of Contents: This book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at the 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world's leading experts in the field. The volume comprises five chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible fluid flows, kinetic theory and conservation laws, to statistical theories for fluid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as each chapter leads readers from the basics to the frontiers of the current research in these areas.
    Type of Medium: Online Resource
    Pages: 1 online resource (399 pages)
    Edition: 1st ed.
    ISBN: 9787894236210
    URL: https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=4713837
    DDC: 532/.05
    Language: English
    Note: Intro -- Thomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid Flows -- Systems of Conservation Laws. Theory, Numerical Approximation and Discrete Shock Profiles∗ -- Kinetic Theory and Conservation Laws: An Introduction -- Elementary Statistical Theories with Applications to Fluid Systems -- The Compressible Euler System in Two Space Dimensions∗.
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  • 2
    Online Resource
    Online Resource
    Asymptotic behavior of a hydrodynamic system in the nematic liquid crystal flows (2009)
    Berlin : WIAS
    Details Availability
    Keywords: Forschungsbericht
    Description / Table of Contents: In this paper we study the long time behavior of the classical solutions to a hydrodynamical system modeling the flow of nematic liquid crystals. This system consists of a coupled system of Navier--Stokes equations and kinematic transport equations for the molecular orientations. By using a suitable Lojasiewicz--Simon type inequality, we prove the convergence of global solutions to single steady states as time tends to infinity. Moreover, we provide estimates for the convergence rate.
    Type of Medium: Online Resource
    Pages: Online-Ressource (35 S., 391 KB)
    Series Statement: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik 1401
    URL: http://webdoc.sub.gwdg.de/ebook/serien/e/wias/2009/wias_preprints_1401.pdf
    URL: https://edocs.tib.eu/files/e01fn11/607337680.pdf
    DDC: 530
    Language: English
    Note: Literaturverz. S. 31 - 33 , Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden. - Auch als gedr. Ausg. vorhanden , Systemvoraussetzungen: Acrobat reader.
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  • 3
    Electronic Resource
    Electronic Resource
    Glutamate receptor 1-immunopositive neurons in the gliotic CA1 area of the mouse hippocampus after pilocarpine-induced status epilepticus (2005)
    Oxford, UK : Blackwell Science Ltd
    European journal of neuroscience 21 (2005), S. 0 
    Details
    ISSN: 1460-9568
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Medicine
    Notes: Significant reduction in glutamate receptor 1 (GluR1)- and GluR2/3-immunopositive neurons was demonstrated in the hilus of the dentate gyrus in mice killed on days 1, 7 and 60 after pilocarpine-induced status epilepticus (PISE). In addition, GluR1 and GluR2/3 immunostaining in the strata oriens, radiatum and lacunosum moleculare of areas CA1–3 decreased drastically on days 7 and 60 after PISE. Neuronal loss observed in the above regions may account, at least in part, for a decrease in GluR immunoreactivity. By contrast, many GluR1-immunopositive neurons were observed in the gliotic area of CA1. Of these, about 42.8% were immunopositive for markers for hippocampal interneurons, namely calretinin (7.6%), calbindin (12.8%) and parvalbumin (22.4%). GluR1 or GluR2/3 and BrdU double-labelling showed that the GluR1- and GluR2/3-immunopositive neurons at 60 days after PISE were neurons that had survived rather than newly generated neurons. Furthermore, anterograde tracer and double-labelling studies performed on animals at 60 days after PISE indicated a projection from the hilus of the dentate gyrus to gliotic areas in both CA3 and CA1, where the projecting fibres apparently established connections with GluR1-immunopositive neurons. The projection to CA1 was unexpected. These novel findings suggest that the intrinsic hippocampal neuronal network is altered after PISE. We speculate that GluR1-immunopositive neurons in gliotic CA1 act as a bridge between dentate gyrus and subiculum contributing towards epileptogenesis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1460-9568.2005.04071.x
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