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AI-discovered tuning laws explain neuronal population code geometry
Tilbury R +8 more
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Non-stationary Navier–Stokes equations in 2 D power cusp domain
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. The case of the boundary value with a nonzero flow rate is considered. In this case there is a source/sink in O and the solution necessary has infinite energy integral.
Konstantin Pileckas
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On singular solutions of time-periodic and steady Stokes problems in a power cusp domain
The 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 Eismontaitė +1 more
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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.
Alicija Eismontaitė +1 more
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Singular solutions of the stokes problems in the power cusp domains
In the thesis there are studied stationary, time-periodic and nonstationary Stokes problems in bounded domains having a singular point O on the boundary. We assume that there is a source or a sink of the fluid in the cusp point O. Therefore, the solutions of such problems are necessary singular.
Alicija Račienė
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On singular solutions of time-periodic and steady Stokes problems in a power cusp domain
Applicable Analysis, 2018Konstantin Pileckas
exaly
Cusp Catastrophe Polynomial Model: Power and Sample Size Estimation
Open Journal of Statistics, 2014Ding-Geng Chen, Xinguang Chen, Feng Lin
exaly
General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares
Journal of Number Theory, 2022exaly

