A Lagrangian approach for the incompressible Navier-Stokes equations with variable density R Danchin, PB Mucha Arxiv preprint arXiv:1107.2763, 2011 | 179 | 2011 |

Directional do-nothing condition for the navier-stokes equations M Braack, PB Mucha Journal of Computational Mathematics 32 (5), 507-521, 2014 | 153 | 2014 |

Sharp conditions to avoid collisions in singular Cucker–Smale interactions JA Carrillo, YP Choi, PB Mucha, J Peszek Nonlinear analysis: Real world applications 37, 317-328, 2017 | 114 | 2017 |

Incompressible flows with piecewise constant density R Danchin, PB Mucha Archive for Rational Mechanics and Analysis 207, 991-1023, 2013 | 103 | 2013 |

The Incompressible Navier‐Stokes Equations in Vacuum R Danchin, PB Mucha Communications on Pure and Applied Mathematics 72 (7), 1351-1385, 2019 | 98 | 2019 |

Time-periodic solutions to the full Navier–Stokes–Fourier system E Feireisl, PB Mucha, A Novotnę, M Pokornę Archive for Rational Mechanics and Analysis 204, 745-786, 2012 | 83 | 2012 |

The Cucker–Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness PB Mucha, J Peszek Archive for Rational Mechanics and Analysis 227, 273-308, 2018 | 76 | 2018 |

A critical functional framework for the inhomogeneous Navier–Stokes equations in the half-space R Danchin, PB Mucha Journal of Functional Analysis 256 (3), 881-927, 2009 | 72 | 2009 |

On the steady compressible Navier–Stokes–Fourier system PB Mucha, M Pokornę Communications in Mathematical Physics 288, 349-377, 2009 | 60 | 2009 |

Compressible Navier–Stokes system: large solutions and incompressible limit R Danchin, PB Mucha Advances in Mathematics 320, 904-925, 2017 | 55 | 2017 |

Weak solutions to equations of steady compressible heat conducting fluids PB Mucha, M Pokornę Mathematical Models and Methods in Applied Sciences 20 (05), 785-813, 2010 | 51 | 2010 |

On the inviscid limit of the Navier–Stokes equations for flows with large flux PB Mucha Nonlinearity 16 (5), 1715, 2003 | 51 | 2003 |

Finite-energy solutions for compressible two-fluid Stokes system D Bresch, PB Mucha, E Zatorska Archive for Rational Mechanics and Analysis 232, 987-1029, 2019 | 49 | 2019 |

Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution PB Mucha, M Pokorny, E Zatorska SIAM Journal on Mathematical Analysis 47 (5), 3747-3797, 2015 | 49 | 2015 |

On Navier–Stokes equations with slip boundary conditions in an infinite pipe PB Mucha Acta Applicandae Mathematica 76, 1-15, 2003 | 47 | 2003 |

On the existence for the Cauchy-Neumann problem for the Stokes system in the -framework P Mucha, W Zaj±czkowski Studia Mathematica 1 (143), 75-101, 2000 | 46 | 2000 |

On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion P Mucha, W Zaj±czkowski Applicationes Mathematicae 27 (3), 319-333, 2000 | 45 | 2000 |

Existence of weak solutions for compressible Navier–Stokes equations with entropy transport D Maltese, M Michálek, PB Mucha, A Novotnę, M Pokornę, E Zatorska Journal of Differential Equations 261 (8), 4448-4485, 2016 | 41 | 2016 |

The Cauchy problem for the compressible Navier–Stokes equations in the Lp-framework PB Mucha Nonlinear Analysis: Theory, Methods & Applications 52 (4), 1379-1392, 2003 | 39 | 2003 |

Critical functional framework and maximal regularity in action on systems of incompressible flows R Danchin, PB Mucha Société mathématique de France, 2015 | 38 | 2015 |