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 |
|---|---|
| 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 |
| Date of Publication (online): | 2009/02/09 |
| 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 |
