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Entropy Methods for Diffusive Partial Differential Equations

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Abstract

Some concepts of entropy in physics and mathematics are reviewed in Sects. 1.1 and 1.2, respectively. In Sect. 1.3, basic ideas of entropy methods for partial differential equations from the literature, considered in the following chapters, are summarized. Following Matthes, D, Entropy Methods and Related Functional Inequalities, Lecture Notes, Pavia, Italy (2007) http://www-m8.ma.tum.de/personen/matthes/papers/lecpavia.pdf [44], general definitions of mathematical entropy, entropy production, and entropy inequalities are given.

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  1. Institute for Analysis and Scientific Computing, Vienna University of Technology, Vienna, Austria

    Ansgar Jüngel

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Jüngel, A. (2016). Introduction. In: Entropy Methods for Diffusive Partial Differential Equations. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-34219-1_1

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