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On singular solutions of time-periodic and steady Stokes problems in a power cusp domain
Applicable Analysis, 2017The time-periodic and steady Stokes problems with the boundary value having a nonzero flux are considered in the power cusp domains. The asymptotic expansion near the singularity point is constructed in order to reduce the problem to the case where the energy solution exists.
Alicija Eismontaite, Konstantin Pileckas
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The initial boundary value problem for the non-steady Stokes system is considered in bounded domains with the boundary having a peak-type singularity (power cusp singularity). The case of the boundary value with a nonzero time-dependent flow rate is studied. The formal asymptotic expansion of the solution near the singular point is constructed.
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On singular solutions of time-periodic and steady Stokes problems in a power cusp domain
Applicable Analysis, 2018Konstantin Pileckas
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