Degenerate nonlinear diffusion equations

The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued m-accretive operators in Hilbert spaces. The problems concern nonlinear...

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Auteurs principaux: Favini, Angelo, 1946-, Marinoschi, Gabriela, 19..- (Auteur)
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
מהדורה:1st ed. 2012.
סדרה:Lecture Notes in Mathematics 2049
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הערה: L'impression du document génère 164 p.
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Edition sous un autre format:• Degenerate nonlinear diffusion equations, Angelo Favini, Gabriela Marinoschi, 2012, Berlin, Springer, 1 vol. (XXI-143 p.), Lecture notes in mathematics, 978-3-642-28284-3
תיאור
סיכום:The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued m-accretive operators in Hilbert spaces. The problems concern nonlinear parabolic equations involving two cases of degeneracy. More precisely, one case is due to the vanishing of the time derivative coefficient and the other is provided by the vanishing of the diffusion coefficient on subsets of positive measure of the domain. From the mathematical point of view the results presented in these notes can be considered as general results in the theory of degenerate nonlinear diffusion equations. However, this work does not seek to present an exhaustive study of degenerate diffusion equations, but rather to emphasize some rigorous and efficient techniques for approaching various problems involving degenerate nonlinear diffusion equations, such as well-posedness, periodic solutions, asymptotic behaviour, discretization schemes, coefficient identification, and to introduce relevant solving methods for each of them
תאור פריט:L'impression du document génère 164 p.
Archives Springer e-books (Licence nationale)
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ביבליוגרפיה:Bibliogr. Index
ISBN:9783642282850
ISSN:1617-9692
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