17 citations · 37 across the 4 of their papers we have counts for
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Transport equation: extension of classical results for div BMO
Piotr B. Mucha
We investigate the transport equation: . Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: $÷b \in L_\inf…
A caricature of a singular curvature flow in the plane
Piotr B. Mucha, Piotr Rybka
We study a singular parabolic equation of the total variation type in one dimension. The problem is a simplification of the singular curvature flow. We show existence and uniquenes…
Zygmund spaces, inviscid limits and uniqueness of Euler flows
Piotr B. Mucha, Walter M. Rusin
The paper improves the classical uniqueness result for the Euler system in the dimensional case assuming that , only. Moreover the rate of the c…
Stability of 2D incompressible flows in
Piotr B. Mucha
We investigate the global in time stability of regular solutions with large velocity vectors to the evolutionary Navier-Stokes equation in . The class of stable flows co…