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math.AP2013
Fine singularity analysis of solutions to Laplace equation
Adam Kubica, Piotr Rybka
We present here a fine singularity analysis of solutions to the Laplace equation in special polygonal domains in the plane. We assume piecewise constant Neumann on one component of…
math.AP2013
Regularity criteria of weak solutions to NSE in some bounded domains involving the pressure
Adam Kubica, Bernard Nowakowski, Wojciech ZajcAczkowski
We present a short and elegant proof of an estimate for the pressure in terms of the velocity and external data in bounded domains under the slip and Navier boundary conditions. We…