Regularity Issues in the Problem of Fluid Structure Interaction
نویسندگان
چکیده
منابع مشابه
Regularity issues in the problem of fluid structure interaction
We investigate the evolution of rigid bodies in a viscous incompressible fluid. The flow is governed by the 2D Navier-Stokes equations, set in a bounded domain with Dirichlet boundary conditions. The boundaries of the solids and the domain have Hölder regularity C, 0 < α ≤ 1. First, we show the existence and uniqueness of strong solutions up to collision. A key ingredient is a BMO bound on the ...
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15 صفحه اولChapter 2 Fluid – Structure interaction model : wellposedness , regularity and control ∗
Nonlinear fluid–structure interaction coupling the Navier–Stokes equations with dynamic system of elasticity is considered. The coupling takes place on the boundary (interface) via the continuity of the normal component of the Cauchy stress tensor. Due to mismatch of parabolic and hyperbolic regularity previous results in the literature dealt with either regularized version of the model, or wit...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2009
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-008-0202-9