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math.AP2022
Weak solutions of 3D compressible Navier-Stokes equations in critical case
Pavel I. Plotnikov
New estimates of the potentials of solutions to the compressible Navier-Stokes equations are derived. The result obtained are applied to boundary value problems for the compressibl…
math.AP2020
A Proof of Hélein's Conjecture on Boundedness of Conformal Factors when n=3
P. I. Plotnikov, J. F. Toland
For smooth mappings of the unit disc into the oriented Grassmannian manifold , Hélein (2002) conjectured the global existence of Coulomb frames with bounded confor…