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MIT OpenCourseWarehttp://ocw.mit.edu 18.306 Advanced Partial Differential Equations with ApplicationsFall 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.Lecture 26 2009 12 09 WED TOPICS: Green's function. Poisson equation. Stokes equation. Exanple: stokes drag on a sphere. Poisson equation in 3-D. Green's function (infinite domain). Example of Green's functions applications: Stokes Flow. Stokes flow equations. Justification. Stokes flow produced by a point force. Flows produced by higher order singularities (force dipoles, etc). Flow around a sphere held fixed in a flow constant far away from the sphere. Stokes drag. Discussion of the problems caused by the slow decay of these
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