We consider the hyperbolic-parabolic singular perturbation problem for a nondegenerate quasilinear equation of Kirchhoff type with weak dissipation. This means that the dissipative term is multiplied by a coefficient b(t) which tends to 0 at the infinity. The result is that the hyperbolic problem has a unique global solution, and the difference between solutions of the hyperbolic problem and the corresponding solutions of the parabolic problem converges to zero both as t goes to infinity and as the parameter goes to 0.
|Autori:||Ghisi M; Gobbino M|
|Titolo:||Hyperbolic-parabolic singular perturbation for nondegenerate Kirchhoff equations with critical weak dissipation|
|Anno del prodotto:||2012|
|Digital Object Identifier (DOI):||10.1007/s00208-011-0765-x|
|Appare nelle tipologie:||1.1 Articolo in rivista|