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NHM
2010

Small solids in an inviscid fluid

12 years 10 months ago
Small solids in an inviscid fluid
We present in this paper several results concerning a simple model of interaction between an inviscid fluid, modeled by the Burgers equation, and a particle, assumed to be point-wise. It is composed by a first-order partial differential equation which involves a singular source term and by an ordinary differential equation. Though this model can be considered simple, its mathematical analysis is tough. Several results are presented, according to the term of interaction (linear or quadratic) and we also describe numerical methods, which are analyzed and tested.
Boris Andreianov, Frédéric Lagouti&e
Added 20 May 2011
Updated 20 May 2011
Type Journal
Year 2010
Where NHM
Authors Boris Andreianov, Frédéric Lagoutière, Nicolas Seguin, Takéo Takahashi
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