Publikation:

The spin-coating process : analysis of the free boundary value problem

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Datum

2010

Autor:innen

Geissert, Matthias
Hieber, Matthias
Sawada, Okihiro

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-104438
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Urheberrechtlich geschützt

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Open Access-Veröffentlichung
Open Access Green

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Mathematik und Statistik: Publikationen
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Titel in einer weiteren Sprache

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Working Paper/Technical Report
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Published

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Zusammenfassung

In this paper, an accurate model for the spin-coating process is presented and investigated from the analytical point of view. More precisely, the spin-coatong process is being described as a one-phase free boundary value problem for Newtonian fluids in the rotational setting. The method presented is based on a transformation of the free boundary value problem to a quasilinear evolution equation on a fixed domain. The keypoint for solving the latter equation will be so-called maximal regularity approach. In order to pursue this one needs to determine the precise regularity classes for the associated inhomogenous linearized equations. This is being achieved by applying the Newton polygon method to the boundary sumbol.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Spin-Coating-Prozess, freies Randwertproblem, Navier-Stokes, Partial differential equations, spin coating, free boundary value problem, Navier-Stokes

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ISO 690DENK, Robert, Matthias GEISSERT, Matthias HIEBER, Jürgen SAAL, Okihiro SAWADA, 2010. The spin-coating process : analysis of the free boundary value problem
BibTex
@techreport{Denk2010spinc-508,
  year={2010},
  series={Konstanzer Schriften in Mathematik},
  title={The spin-coating process : analysis of the free boundary value problem},
  number={262},
  author={Denk, Robert and Geissert, Matthias and Hieber, Matthias and Saal, Jürgen and Sawada, Okihiro}
}
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