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Titlebook: Entropy Methods for Diffusive Partial Differential Equations; Ansgar Jüngel Book 2016 The Author(s) 2016 Entropy dissipation methods.Nonli

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Towards Discrete Entropy Methods,dissipating time-discrete schemes are presented in Sect. ., summarizing results of Jüngel and Milišić (Numer. Meth. Partial Differ. Equ. 31:1119–1149, 2015 [.]) and Jüngel and Schuchnigg (Entropy-dissipating semi-discrete Runge–Kutta schemes for nonlinear diffusion equations. To appear in Commun. Ma
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Book 2016 (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.
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Embryology of the Hypoglossal Nerve, et al., Commun Math Sci, 9:353–382, 2011, [.], Jüngel and Matthes, SIAM J. Math Anal, 39:1996–2015, 2008, [.], Laugesen, Commun Pure Appl Anal 4:613–634, 2005, [.], and Sect. . summarizes results from Matthes et al., Arch Ration Mech Anal 199:563–596, 2011, [.].
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https://doi.org/10.1007/978-3-658-44073-2 36; 301–322, 2004, [.] and Burger et al., SIAM J Math Anal, 42; 2842–2871, 2010, [.], respectively. Finally, the uniqueness of weak solutions to simplified systems is proved in Sect. . using an entropy method developed by Gajewski, Math Models Meth Appl Sci, 4; 121–133, 1994, [.].
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Entropy Methods for Diffusive Partial Differential Equations
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2191-8198 pposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.978-3-319-34218-4978-3-319-34219-1Series ISSN 2191-8198 Series E-ISSN 2191-8201
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Research on the Relationship Between the Digital Economy, Industrial Innovation Capability, and Servzation level of advanced manufacturing, and the ability of industrial innovation plays an intermediary role in the relationship between the digital economy and the servitization of advanced manufacturing.
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