Noncoercive convection–diffusion elliptic problems with Neumann boundary conditions
نویسندگان
چکیده
منابع مشابه
Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions
We study the existence and uniqueness of solutions of the convective-diffusive elliptic equation −div(D∇u) + div(V u) = f posed in a bounded domain Ω ⊂ RN , with pure Neumann boundary conditions D∇u · n = (V · n)u on ∂Ω. Under the assumption that V ∈ Lp(Ω)N with p = N if N ≥ 3 (resp. p > 2 if N = 2), we prove that the problem has a solution u ∈ H1(Ω) if ∫ Ω f dx = 0, and also that the kernel is...
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We consider a convective-diffusive elliptic problem with Neumann boundary conditions: the presence of the convective term entails the non-coercivity of the continuous equation and, because of the boundary conditions, the equation has a kernel. We discretize this equation with finite volume techniques and in a general framework which allows to consider several treatments of the convective term: ...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2008
ISSN: 0944-2669,1432-0835
DOI: 10.1007/s00526-008-0189-y