Existence result for nonlinear parabolic problems with L¹-data

Abderrahmane El Hachimi, Jaouad Igbida, and Ahmed Jamea. "Existence result for nonlinear parabolic problems with L¹-data." Applicationes Mathematicae 37.4 (2010): 483-508. <http://eudml.org/doc/279897>.

@article{AbderrahmaneElHachimi2010,
abstract = {We study the existence of solutions of the nonlinear parabolic problem $∂u/∂t - div[|Du-Θ(u)|^\{p-2\} (Du- Θ(u))] + α(u) = f$ in ]0,T[ × Ω, $(|Du - Θ(u)|^\{p-2\}(Du-Θ(u)))·η + γ(u)=g$ on ]0,T[ × ∂Ω, u(0,·) = u₀ in Ω, with initial data in L¹. We use a time discretization of the continuous problem by the Euler forward scheme.},
author = {Abderrahmane El Hachimi, Jaouad Igbida, Ahmed Jamea},
journal = {Applicationes Mathematicae},
keywords = {Euler forward scheme; flow through a porous medium in a turbulent regime},
language = {eng},
number = {4},
pages = {483-508},
title = {Existence result for nonlinear parabolic problems with L¹-data},
url = {http://eudml.org/doc/279897},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Abderrahmane El Hachimi
AU - Jaouad Igbida
AU - Ahmed Jamea
TI - Existence result for nonlinear parabolic problems with L¹-data
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 4
SP - 483
EP - 508
AB - We study the existence of solutions of the nonlinear parabolic problem $∂u/∂t - div[|Du-Θ(u)|^{p-2} (Du- Θ(u))] + α(u) = f$ in ]0,T[ × Ω, $(|Du - Θ(u)|^{p-2}(Du-Θ(u)))·η + γ(u)=g$ on ]0,T[ × ∂Ω, u(0,·) = u₀ in Ω, with initial data in L¹. We use a time discretization of the continuous problem by the Euler forward scheme.
LA - eng
KW - Euler forward scheme; flow through a porous medium in a turbulent regime
UR - http://eudml.org/doc/279897
ER -