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.
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1992
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| 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 |
| Verfasserangaben: | Bernhard Kawohl, Robert Kersner |
| 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. |
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| Beschreibung: | Gesehen am 28.06.2023 |
| Beschreibung: | Online Resource |
| ISSN: | 1099-1476 |
| DOI: | 10.1002/mma.1670150703 |