Regularity of solutions for the Navier-Stokes system of incompressible flows on a polygon |
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Authors: | Jae Ryong Kweon |
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Institution: | Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Kyoungbuk, South Korea |
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Abstract: | We are concerned with singularities and regularities of solutions for the Navier-Stokes system of incompressible flows on a polygonal domain with a concave vertex. We subtract the corner singularities by the Stokes operator from the solution velocity and pressure functions of the system. It is shown that the stress intensity factors are functions of time variable, belong to a fractional Sobolev space on the time interval and can be expressed in terms of given data. An increased regularity for the remainder is obtained. |
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Keywords: | 35M10 35B25 |
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