On degenerate diffusion with very strong absorption

We prove the existence of weak global solutions to the degenerate diffusion equation (1) with singular absorption term. Moreover we investigate the regularity up to the quenching time and we show by means of explicit solutions that our regularity results are optimal.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Kawohl, Bernhard (VerfasserIn) , Kersner, Robert (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1992
In: Mathematical methods in the applied sciences
Year: 1992, Jahrgang: 15, Heft: 7, Pages: 469-477
ISSN:1099-1476
DOI:10.1002/mma.1670150703
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1002/mma.1670150703
Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1670150703
Volltext
Verfasserangaben:Bernhard Kawohl, Robert Kersner
Beschreibung
Zusammenfassung:We prove the existence of weak global solutions to the degenerate diffusion equation (1) with singular absorption term. Moreover we investigate the regularity up to the quenching time and we show by means of explicit solutions that our regularity results are optimal.
Beschreibung:Gesehen am 28.06.2023
Beschreibung:Online Resource
ISSN:1099-1476
DOI:10.1002/mma.1670150703