Pompeiu Problem: Solved & Related to Navier-Stokes?

Thread starter greentea28a
Start date Aug 31, 2013
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Navier-stokes

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The Pompeiu Problem involves determining whether a shape can uniquely define a point in space based on distances to the shape's boundary. It has been solved, with a solution available in a research paper linked in the discussion. The connection between the Pompeiu Problem and Navier-Stokes equations is questioned, suggesting potential relationships in mathematical analysis. Participants express interest in clarifying the problem's implications and its relevance to fluid dynamics. Understanding these connections could enhance insights into both mathematical theories and practical applications.

Aug 31, 2013

greentea28a

Hi,
http://en.wikipedia.org/wiki/Pompeiu_problem

Can someone rephrase the problem so I better understand its meaning?

And has it been solved? Solution to Pompeiu Problem http://arxiv.org/abs/1304.2297

Thanks

PS. does this problem have anything to do with Navier-Stokes?

Last edited: Aug 31, 2013

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Aug 31, 2013

johnqwertyful

What's your background?

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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