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Regularity of Solutions of Two-Dimensional Equations in Fluid Dynamics Models with Nonlinear Viscosity

✍ Scribed by O. A. Ladyzhenskaya; G. A. Seregin


Book ID
110328995
Publisher
Springer US
Year
2002
Tongue
English
Weight
295 KB
Volume
109
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES


Regularity for solutions of nonlinear el
✍ Francesco Chiacchio πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 French βš– 115 KB

The aim of this paper is to study the regularity of the solutions of problems like (1). The main result is to show that if u is a solution of (1) such that the function w = e Β΅|u| -1 Β΅ sign(u) belongs to W 1,p 0 (Ω), where Β΅ is some constant, then u is actually HΓΆlder continuous. Then the same resul