Non-simultaneous quenching in a semilinear parabolic system with weak singularities of logarithmic type
In: Applied mathematics and computation, Jg. 196 (2008), Heft 1, S. 17-23
Online
academicJournal
- print, 15 ref
In this paper, we are interested in the possibility of non-simultaneous quenching for positive solutions of a coupled system of two semilinear parabolic equations with weak singularities of logarithmic type, u1 = uxx + log(au), v1 = vxx + log(βu), 0 < α,β < 1, with homogeneous Neumann boundary conditions and positive initial data. Under some assumptions on the initial data and parameters α, β, we prove that the quenching is always non-simultaneous. We also give the quenching rate when the quenching is non-simultaneous. Finally, we show that our results can be used to a blow-up problem.
Titel: |
Non-simultaneous quenching in a semilinear parabolic system with weak singularities of logarithmic type
|
---|---|
Autor/in / Beteiligte Person: | YUANHONG, ZHI ; CHUNLAI, MU |
Link: | |
Zeitschrift: | Applied mathematics and computation, Jg. 196 (2008), Heft 1, S. 17-23 |
Veröffentlichung: | New York, NY: Elsevier, 2008 |
Medientyp: | academicJournal |
Umfang: | print, 15 ref |
ISSN: | 0096-3003 (print) |
Schlagwort: |
|
Sonstiges: |
|