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Alongside the parabolic quasilinear method in fluid dynamics

Sierke Verlag,
52,00 € Preisreferenz Lieferbar in 2-3 Tagen


Parabolic quasilinear evolution equations naturally occur in mathematical fluid dynamics of complexly coupled fluid systems. One striking example are the Ericksen-Leslie equations modeling the dynamics of nematic liquid crystals – a material having both the characteristics of a fluid, namely a flow property, and also possessing structural properties of a crystal, namely a molecular orientational order.
In her thesis, Katharina Schade applies modern parabolic quasilinear theory to several systems related to the Ericksen-Leslie theory and arrives at a comprehensive understanding from the point of view of dynamical systems. These systems include the simplified Ericksen-Leslie equations (Lin-Liu 1995), thermodynamic and compressible extensions as well as a parameter-restricted version of the full Ericksen-Leslie equations.
In parabolic theory, understanding underlying linear problems is key for understanding non-linear systems. The author considers the notorious case of Lebesgue index p=∞ for the Lp-Stokes problem.
The question whether the Stokes operator generates an analytic semigroup in a space of essentially bounded solenoidal functions in cylindrical domains, is answered affirmatively using a de Giorgi-type contradiction argument.


Titel: Alongside the parabolic quasilinear method in fluid dynamics
Autoren/Herausgeber: Katharina Schade
Ausgabe: 1. Auflage

ISBN/EAN: 9783868447378

Seitenzahl: 296
Produktform: Taschenbuch/Softcover
Sprache: Englisch

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