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.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Dirk BlömkerORCiDGND, Marco RomitoORCiD
URN:urn:nbn:de:bvb:384-opus4-10496
Frontdoor URLhttps://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