On a nonlinear parabolic equation involving Bessel's operator associated with a mixed inhomogeneous condition - CaSciModOT (calcul scientifique et modelisation Orleans-Tours) Accéder directement au contenu
Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2006

On a nonlinear parabolic equation involving Bessel's operator associated with a mixed inhomogeneous condition

Résumé

We consider the Bessel's parabolic operator of exponent $\gamma$ and a rhs of the form F(r,u). The boundary conditions in $r=0$ and $r=1$ are linear in $u$ and $ u_{r}$. We use the Galerkin and compactness method in appropriate Sobolev spaces with weight to prove the existence of a unique weak solution of the problem on $(0,T)$, for every $T>0$. We also prove that if the initial condition is bounded, then so is the solution. Finally we study asymptotic behavior of the solution and give numerical results.
Fichier principal
Vignette du fichier
LAlain_8.7.05_.pdf (149.23 Ko) Télécharger le fichier
sbel1.pdf (11.63 Ko) Télécharger le fichier
sbel10.pdf (14.76 Ko) Télécharger le fichier
sbel1s.pdf (11.83 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00009283 , version 1 (30-09-2005)

Identifiants

  • HAL Id : hal-00009283 , version 1

Citer

Nguyen Thanh Long, Alain Pham Ngoc Dinh. On a nonlinear parabolic equation involving Bessel's operator associated with a mixed inhomogeneous condition. Journal of Computational and Applied Mathematics, 2006, 196, pp.267-284. ⟨hal-00009283⟩
138 Consultations
241 Téléchargements

Partager

Gmail Facebook X LinkedIn More