Ghisi, Marina and Gobbino, Massimo (2010) Mildly degenerate Kirchhoff equations with weak dissipation: Global existence and time decay. Journal of Differential Equations, 248/20 (2). pp. 381-402. ISSN 0022-0396
![[img]](http://eprints.adm.unipi.it/style/images/fileicons/application_pdf.png)
| PDF Download (375Kb) | Preview |
Official URL: http://www.elsevier.com/wps/find/journaldescriptio...
Abstract
SUMMARY We consider the hyperbolic-parabolic singular perturbation problem for a degenerate quasilinear Kirchhoff equation with weak dissipation. This means that the coefficient of the dissipative term tends to zero when t → +∞. We prove that the hyperbolic problem has a unique global solution for suitable values of the parameters. We also prove that the solution decays to zero, as t → +∞, with the same rate of the solution of the limit problem of parabolic type.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | singular perturbation, degenerate Kirchhoff equations, quasilinear hyper- bolic equation, weak dissipation, energy estimates. |
| Subjects: | Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
| Divisions: | Dipartimenti (until 2012) > DIPARTIMENTO DI MATEMATICA "L. TONELLI" |
| Depositing User: | dott. Marina Ghisi |
| Date Deposited: | 22 Feb 2010 |
| Last Modified: | 20 Dec 2010 11:47 |
| URI: | http://eprints.adm.unipi.it/id/eprint/671 |
Repository staff only actions
| View Item |
