97 citations · 327 across the 42 of their papers we have counts for
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math.AP2011
A Lagrangian approach for the incompressible Navier-Stokes equations with variable density
Raphaël Danchin, Piotr Bogusław Mucha
Here we investigate the Cauchy problem for the inhomogeneous Navier-Stokes equations in the whole -dimensional space. Under some smallness assumption on the data, we show the ex…
math.AP2011★ 1 cited
Almost classical solutions to the total variation flow
Karolina Kielak, Piotr Bogusław Mucha, Piotr Rybka
The paper examines one-dimensional total variation flow equation with Dirichlet boundary conditions. Thanks to a new concept of "almost classical" solutions we are able to determin…