The stationary Oseen equations in an exterior domain: An approach in weighted Sobolev spaces
作者： Chérif Amrouche , Mohamed Meslameni , Šárka Nečasová
DOI: 10.1016/J.JDE.2013.12.010
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摘要: Abstract In this work, we study the linearized Navier–Stokes equations in an exterior domain of R 3 at steady state, that is, Oseen equations. We are interested existence and uniqueness weak, strong very weak solutions L p -theory which makes our work more difficult. Our analysis is based on principle linear problems can be solved by combining their properties whole space bounded domains. approach rests use weighted Sobolev spaces.
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