Summary
In the present paper we discuss the regularity of the principal value of the potential due to a doublet distribution μ along the boundary S of a two-dimensional (2-D) open connected set. Assuming S to be a Lyapunov boundary and μ to be essentially bounded, we prove that the principal value in 2-D is more regular than the one in 3-D. This result is applied to the aerodynamics problem of calculation of potential flows around 2-D bodies.
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Schippers, H. On the regularity of the principal value of the double-layer potential. J Eng Math 16, 59–76 (1982). https://doi.org/10.1007/BF00037629
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DOI: https://doi.org/10.1007/BF00037629