We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall in an otherwise unbounded domain. This situation is modeled by the incompressible Navier–Stokes equations in a planar exterior domain in a half space with appropriate boundary conditions on the wall, the body, and at infinity. We explain an analytic setup that allows to obtain sharp decay rates for the solution far away from the moving body and the wall.

Peter Wittwer教授在瑞士苏黎世联邦理工学院（ETH Zurich）获得硕士学位，在瑞士日内瓦大学获得博士学位，曾就职于美国纽约大学Courant数学研究所，Rutgers 大学以及国际知名的Swiss Re公司等，现为瑞士日内瓦大学理论物理系教授。研究领域涉及动力系统与遍历理论，偏微分方程，数值分析，流体力学等，在外区域不可压缩流体的理论与数值计算等方面作了许多开创性的工作，研究成果发表在 Memoirs of the American Mathematical Society, SIAM Review, Comm. Math. Phy., Arch. Rational Mech. Anal., Math. Models & Methods in Appl. Sci., SIAM J. Math. Anal. 等国际知名杂志上，合作出版流体力学方程的经典著作一部。