Regularity and blow-up in a surface growth model
- The paper contains several regularity results and blow-up criterions for a surface growth model, which seems to have similar properties to the 3D Navier-Stokes, although it is a scalar equation. As a starting point we focus on energy methods and Lyapunov-functionals.
Author: | Dirk BlömkerORCiDGND, Marco RomitoORCiD |
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URN: | urn:nbn:de:bvb:384-opus4-10496 |
Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1225 |
Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2009-03) |
Type: | Preprint |
Language: | English |
Year of first Publication: | 2009 |
Publishing Institution: | Universität Augsburg |
Release Date: | 2009/02/09 |
Tag: | blow up; singularities |
GND-Keyword: | Parabolische Differentialgleichung; Nichtlineare partielle Differentialgleichung; Navier-Stokes-Gleichung; Ljapunov-Funktion; Wachstumsmodell |
Note: | Erschienen in Dynamics of Partial Differential Equations, 6, 3, S. 227-252, https://doi.org/10.4310/dpde.2009.v6.n3.a2 |
Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Licence (German): | Deutsches Urheberrecht mit Print on Demand |