Edit Profile (opens in new tab) Mucha, Piotr Bogusław Co-Author Distance Author ID: mucha.piotr-boguslaw Published as: Mucha, Piotr Bogusław; Mucha, Piotr B.; Mucha, P. B.; Mucha, Piotr Boguslaw; Mucha, Piotr BogusŁaw; Mucha, Piotr more...less Documents Indexed: 115 Publications since 1998, including 11 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 52 Co-Authors with 84 Joint Publications 1,397 Co-Co-Authors all top 5 Co-Authors 34 single-authored 17 Danchin, Raphaël 14 Pokorný, Milan 10 Zatorska, Ewelina 9 Rybka, Piotr 8 Zajączkowski, Wojciech M. 7 Peszek, Jan 5 Piasecki, Tomasz 4 Lewicka, Marta 3 Axmann, Šimon 3 Cyranka, Jacek 2 Escher, Joachim 2 Hieber, Matthias 2 Konieczny, Paweł 2 Minakowski, Piotr 2 Novotný, Antonín 2 Szlenk, Maja 2 Tolksdorf, Patrick 2 Xue, Liutang 1 Braack, Malte 1 Bresch, Didier 1 Carrillo de la Plata, José Antonio 1 Chaudhuri, Nilasis 1 Choi, Young-Pil 1 Feireisl, Eduard 1 Glass, Olivier 1 Guidotti, Patrick Q. 1 Kielak, Karolina 1 Krzyżanowski, Piotr 1 Łasica, Michał 1 Malikova, Sadokat 1 Maltese, David 1 Michálek, Martin 1 Moll, Salvador 1 Muszkieta, Monika 1 Nečasová, Šárka 1 Niezgódka, Marek 1 Ożański, Wojciech Sławomir 1 Penel, Patrick 1 Prüß, Jan Wilhelm 1 Puchalska, Aleksandra 1 Rautmann, Reimund 1 Rusin, Walter M. 1 Sadowski, Witold 1 Shibata, Yoshihiro 1 Simonett, Gieri 1 Świerczewska-Gwiazda, Agnieszka 1 Titi, Edriss Saleh 1 Walker, Christoph 1 Wiegner, Michael 1 Wróblewski, Bartosz 1 Zgliczyński, Piotr 1 Zheng, Xiaoxin all top 5 Serials 7 Journal of Differential Equations 6 Nonlinearity 4 Archive for Rational Mechanics and Analysis 4 Communications in Mathematical Physics 4 Applicationes Mathematicae 3 Communications on Pure and Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Topological Methods in Nonlinear Analysis 3 Journal of Applied Analysis 3 Journal of Mathematical Fluid Mechanics 3 Communications in Mathematical Sciences 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Annales Polonici Mathematici 2 Colloquium Mathematicum 2 Acta Applicandae Mathematicae 2 SIAM Journal on Mathematical Analysis 2 Advances in Differential Equations 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Evolution Equations 2 Banach Center Publications 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Journal of Computational Mathematics 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Advances in Mathematical Sciences and Applications 1 Séminaire Équations aux Dérivées Partielles 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 SIAM Journal on Imaging Sciences 1 Evolution Equations and Control Theory 1 Progress in Nonlinear Differential Equations and Their Applications 1 Tunisian Journal of Mathematics 1 Pure and Applied Analysis all top 5 Fields 101 Partial differential equations (35-XX) 73 Fluid mechanics (76-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,086 times in 669 Documents Cited by ▼ Year ▼ A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. Zbl 1247.35088 Danchin, Raphaël; Mucha, Piotr Bogusław 94 2012 Sharp conditions to avoid collisions in singular Cucker-Smale interactions. Zbl 1383.34069 Carrillo, José A.; Choi, Young-Pil; Mucha, Piotr B.; Peszek, Jan 66 2017 Incompressible flows with piecewise constant density. Zbl 1260.35107 Danchin, Raphaël; Mucha, Piotr BogusŁaw 55 2013 A directional do-nothing condition for the Navier-Stokes equations. Zbl 1324.76015 Braack, Malte; Mucha, Piotr Boguslaw 46 2014 The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness. Zbl 1384.35138 Mucha, Piotr B.; Peszek, Jan 41 2018 A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. Zbl 1160.35004 Danchin, Raphaël; Mucha, Piotr Bogusław 39 2009 The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182 Danchin, Raphaël; Mucha, Piotr Bogusław 39 2019 Compressible Navier-Stokes system: large solutions and incompressible limit. Zbl 1384.35058 Danchin, Raphaël; Mucha, Piotr Bogusław 36 2017 Finite-energy solutions for compressible two-fluid Stokes system. Zbl 1412.35214 Bresch, Didier; Mucha, Piotr B.; Zatorska, Ewelina 28 2019 On the steady compressible Navier-Stokes-Fourier system. Zbl 1172.35467 Mucha, Piotr B.; Pokorný, Milan 27 2009 Time-periodic solutions to the full Navier-Stokes-Fourier system. Zbl 1287.76187 Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan 26 2012 Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. Zbl 1351.35106 Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina 25 2016 Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution. Zbl 1322.76052 Mucha, P. B.; Pokorný, M.; Zatorska, E. 21 2015 On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations. Zbl 1189.35262 Mucha, P. B.; Pokorný, M. 19 2006 Critical functional framework and maximal regularity in action on systems of incompressible flows. Zbl 1335.35179 Danchin, Raphaël; Mucha, Piotr Bogusław 19 2015 On temporal asymptotics for the \(p\)th power viscous reactive gas. Zbl 1094.76052 Lewicka, Marta; Mucha, Piotr B. 18 2004 On a \(L_{p}\)-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions. Zbl 1048.35064 Mucha, Piotr Bogusław; Zajłoczkowski, Wojciech M. 18 2002 Weak solutions to equations of steady compressible heat conducting fluids. Zbl 1191.35207 Mucha, Piotr B.; Pokorný, Milan 18 2010 Singular Cucker-Smale dynamics. Zbl 1461.76513 Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan; Zatorska, Ewelina 18 2019 Regular solutions to the fractional Euler alignment system in the Besov spaces framework. Zbl 1411.35223 Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz 18 2019 The Cauchy problem for the compressible Navier-Stokes equations in the \(L_p\)-framework. Zbl 1048.35065 Mucha, Piotr Bogusław 17 2003 Approximate solutions to a model of two-component reactive flow. Zbl 1304.35501 Mucha, Piotr Bogusław; Pokorný, Milan; Zatorska, Ewelina 17 2014 On the existence for the Cauchy-Neumann problem for the Stokes system in the \(L_p\)-framework. Zbl 0970.35107 Mucha, Piotr Bogusław; Zajączkowski, Wojciech 16 2000 Chemically reacting mixtures in terms of degenerated parabolic setting. Zbl 1302.76207 Mucha, P. B.; Pokorný, M.; Zatorska, E. 16 2013 On Navier-Stokes equations with slip boundary conditions in an infinite pipe. Zbl 1028.35119 Mucha, Piotr Bogusław 15 2003 Transport equation: extension of classical results for \(\operatorname{div}b\in\mathrm{BMO}\). Zbl 1221.35012 Mucha, Piotr Bogusław 15 2010 Stability of nontrivial solutions of the Navier-Stokes system on the three-dimensional torus. Zbl 1016.35056 Mucha, Piotr Bogusław 14 2001 On the inviscid limit of the Navier-Stokes equations for flows with large flux. Zbl 1073.76016 Mucha, Piotr Bogusław 14 2003 On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion. Zbl 0996.35050 Mucha, Piotr Bogusław; Zajączkowski, Wojciech 13 2000 Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations. Zbl 1057.35033 Mucha, Piotr Bogusław; Zajączkowski, Wojciech M. 13 2004 Stability of 2D incompressible flows in \(\mathbb R^3\). Zbl 1151.35412 Mucha, Piotr Bogusław 13 2008 Total variation denoising in \(l^1\) anisotropy. Zbl 1451.94011 Łasica, Michał; Moll, Salvador; Mucha, Piotr B. 13 2017 Compressible Navier-Stokes system in 1-D. Zbl 0998.35036 Mucha, Piotr Bogusław 12 2001 3D steady compressible Navier-Stokes equations. Zbl 1140.76034 Pokorný, Milan; Mucha, Piotr B. 11 2008 On the existence of traveling waves in the 3D Boussinesq system. Zbl 1213.35352 Lewicka, Marta; Mucha, Piotr B. 11 2009 On cylindrical symmetric flows through pipe-like domains. Zbl 1057.35032 Mucha, Piotr Boguslaw 11 2004 The surface diffusion flow on rough phase spaces. Zbl 1188.35093 Escher, Joachim; Mucha, Piotr B. 8 2010 Convergence of Rothe’s scheme for the Navier-Stokes equations with slip conditions in 2D domains. Zbl 1108.76021 Mucha, Piotr B.; Rautmann, Reimund 8 2006 Compressible perturbation of Poiseuille type flow. Zbl 1297.35170 Mucha, Piotr B.; Piasecki, Tomasz 8 2014 Almost classical solutions to the total variation flow. Zbl 1263.35148 Kielak, Karolina; Mucha, Piotr Bogusław; Rybka, Piotr 8 2013 The Navier-Stokes equations and the maximum principle. Zbl 1077.35106 Mucha, Piotr Bogusław 7 2004 A caricature of a singular curvature flow in the plane. Zbl 1160.35436 Mucha, Piotr B.; Rybka, Piotr 7 2008 A local existence result for a system of viscoelasticity with physical viscosity. Zbl 1273.74024 Lewicka, Marta; Mucha, Piotr B. 7 2013 Divergence. Zbl 1262.35079 Danchin, Raphaël; Mucha, Piotr B. 7 2013 Flocking particles in a non-Newtonian shear thickening fluid. Zbl 1391.35334 Mucha, Piotr B.; Peszek, Jan; Pokorný, Milan 7 2018 Zygmund spaces, inviscid limit and uniqueness of Euler flows. Zbl 1143.35346 Mucha, Piotr Bogusław; Rusin, Walter M. 6 2008 A note on a model system with sudden directional diffusion. Zbl 1245.82020 Mucha, Piotr Bogusław; Rybka, Piotr 6 2012 Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime. Zbl 0937.83003 Mucha, Piotr Bogusław 6 1999 A local and global well-posedness results for the general stress-assisted diffusion systems. Zbl 1382.35296 Lewicka, Marta; Mucha, Piotr B. 6 2016 A new look at equilibria in Stefan-type problems in the plane. Zbl 1145.53033 Mucha, Piotr B.; Rybka, Piotr 6 2007 The divergence equation in rough spaces. Zbl 1227.35130 Danchin, Raphaël; Mucha, Piotr Bogusław 5 2012 Flux problem for a certain class of two-dimensional domains. Zbl 1181.35176 Mucha, Piotr Bogusław 5 2005 On almost global existence for the Cauchy problem for compressible Navier-Stokes equations in the \(L_p\)-framework. Zbl 1006.35073 Mucha, P. B. 5 2001 Stability of constant solutions to the Navier-Stokes system in \({\mathbb R}^3\). Zbl 1009.35060 Mucha, Piotr Bogusław 5 2001 From compressible to incompressible inhomogeneous flows in the case of large data. Zbl 1407.76130 Danchin, Raphaël; Mucha, Piotr Bogusław 5 2019 Well posedness of sudden directional diffusion equations. Zbl 1280.35070 Mucha, Piotr Bogusław; Rybka, Piotr 5 2013 On weak solutions to the Stefan problem with Gibbs-Thomson correction. Zbl 1212.35514 Mucha, Piotr Boguslaw 5 2007 Regular solutions to a monodimensional model with discontinuous elliptic operator. Zbl 1282.34028 Mucha, Piotr B. 4 2012 On an estimate for the linearized compressible Navier–Stokes equations in the \(L_p\)-framework. Zbl 0970.35092 Mucha, Piotr Bogusław 4 2001 On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows. Zbl 1213.35341 Konieczny, Paweł; Mucha, Piotr Bogusław 4 2006 Two cases of squares evolving by anisotropic diffusion. Zbl 1330.35223 Mucha, Piotr B.; Muszkieta, Monika; Rybka, Piotr 4 2015 Lorentz spaces in action on pressureless systems arising from models of collective behavior. Zbl 1511.35263 Danchin, Raphaël; Mucha, Piotr Bogusław; Tolksdorf, Patrick 4 2021 Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability. Zbl 1446.76090 Mucha, Piotr B.; Xue, Liutang; Zheng, Xiaoxin 4 2019 On the Stefan problem with surface tension in the \(L_p\) framework. Zbl 1106.35148 Mucha, Piotr Bogusław 3 2005 Asymptotic behavior of a steady flow in a two-dimensional pipe. Zbl 1037.35058 Mucha, Piotr Bogusław 3 2003 Decently regular steady solutions to the compressible NSAC system. Zbl 1365.76274 Axmann, Šimon; Mucha, Piotr Bogusław 3 2016 New maximal regularity results for the heat equation in exterior domains, and applications. Zbl 1275.35060 Danchin, Raphaël; Mucha, Piotr Bogusław 3 2013 The Cauchy problem for the Einstein-Vlasov system. Zbl 0920.35006 Mucha, P. B. 2 1998 The Cauchy problem for the Einstein-Boltzmann system. Zbl 0914.35082 Mucha, P. B. 2 1998 Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions. Zbl 1082.35123 Mucha, Piotr Bogusław; Sadowski, Witold 2 2005 Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane. Zbl 1251.76007 Konieczny, P.; Mucha, P. B. 2 2011 On local-in-time existence for the Dirichlet problem for equations of compressible viscous fluids. Zbl 0992.35063 Mucha, Piotr Bogusław; Zajączkowski, Wojciech 2 2002 On a pump. Zbl 1088.35045 Mucha, Piotr Bogusław 2 2005 The rot-div system in exterior domains. Zbl 1336.35154 Mucha, Piotr B.; Pokorný, Milan 2 2014 Density-induced consensus protocol. Zbl 1476.70056 Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan 2 2020 Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains. Zbl 1139.76017 Glass, Olivier; Mucha, Piotr Bogusław 1 2008 Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case. Zbl 0956.83006 Mucha, Piotr Bogusław 1 2000 Steady solutions to viscous shallow water equations. The case of heavy water. Zbl 1390.35255 Axmann, Šimon; Mucha, Piotr Bogusław; Pokorný, Milan 1 2017 A construction of two different solutions to an elliptic system. Zbl 1398.35049 Cyranka, Jacek; Mucha, Piotr Bogusław 1 2018 On a problem for the Navier-Stokes equations with the infinite Dirichlet integral. Zbl 1096.35104 Mucha, Piotr B. 1 2005 Global solutions, structure of initial data and the Navier-Stokes equations. Zbl 1154.35418 Mucha, Piotr Bogusław 1 2008 Almost classical solutions of static Stefan type problems involving crystalline curvature. Zbl 1169.53331 Mucha, Piotr Bogusław; Rybka, Piotr 1 2009 Stationary compressible Navier-Stokes equations with inflow condition in domains with piecewise analytical boundaries. Zbl 1435.35282 Mucha, Piotr B.; Piasecki, Tomasz 1 2020 Compressible Navier-Stokes equations with ripped density. Zbl 1526.35259 Danchin, Raphaël; Mucha, Piotr BogusŁaw 1 2023 Boussinesq system with measure forcing. Zbl 1512.76025 Mucha, Piotr B.; Xue, Liutang 1 2022 Compressible Navier-Stokes equations with ripped density. Zbl 1526.35259 Danchin, Raphaël; Mucha, Piotr BogusŁaw 1 2023 Boussinesq system with measure forcing. Zbl 1512.76025 Mucha, Piotr B.; Xue, Liutang 1 2022 Lorentz spaces in action on pressureless systems arising from models of collective behavior. Zbl 1511.35263 Danchin, Raphaël; Mucha, Piotr Bogusław; Tolksdorf, Patrick 4 2021 Density-induced consensus protocol. Zbl 1476.70056 Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan 2 2020 Stationary compressible Navier-Stokes equations with inflow condition in domains with piecewise analytical boundaries. Zbl 1435.35282 Mucha, Piotr B.; Piasecki, Tomasz 1 2020 The incompressible Navier-Stokes equations in vacuum. Zbl 1420.35182 Danchin, Raphaël; Mucha, Piotr Bogusław 39 2019 Finite-energy solutions for compressible two-fluid Stokes system. Zbl 1412.35214 Bresch, Didier; Mucha, Piotr B.; Zatorska, Ewelina 28 2019 Singular Cucker-Smale dynamics. Zbl 1461.76513 Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan; Zatorska, Ewelina 18 2019 Regular solutions to the fractional Euler alignment system in the Besov spaces framework. Zbl 1411.35223 Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz 18 2019 From compressible to incompressible inhomogeneous flows in the case of large data. Zbl 1407.76130 Danchin, Raphaël; Mucha, Piotr Bogusław 5 2019 Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability. Zbl 1446.76090 Mucha, Piotr B.; Xue, Liutang; Zheng, Xiaoxin 4 2019 The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness. Zbl 1384.35138 Mucha, Piotr B.; Peszek, Jan 41 2018 Flocking particles in a non-Newtonian shear thickening fluid. Zbl 1391.35334 Mucha, Piotr B.; Peszek, Jan; Pokorný, Milan 7 2018 A construction of two different solutions to an elliptic system. Zbl 1398.35049 Cyranka, Jacek; Mucha, Piotr Bogusław 1 2018 Sharp conditions to avoid collisions in singular Cucker-Smale interactions. Zbl 1383.34069 Carrillo, José A.; Choi, Young-Pil; Mucha, Piotr B.; Peszek, Jan 66 2017 Compressible Navier-Stokes system: large solutions and incompressible limit. Zbl 1384.35058 Danchin, Raphaël; Mucha, Piotr Bogusław 36 2017 Total variation denoising in \(l^1\) anisotropy. Zbl 1451.94011 Łasica, Michał; Moll, Salvador; Mucha, Piotr B. 13 2017 Steady solutions to viscous shallow water equations. The case of heavy water. Zbl 1390.35255 Axmann, Šimon; Mucha, Piotr Bogusław; Pokorný, Milan 1 2017 Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. Zbl 1351.35106 Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina 25 2016 A local and global well-posedness results for the general stress-assisted diffusion systems. Zbl 1382.35296 Lewicka, Marta; Mucha, Piotr B. 6 2016 Decently regular steady solutions to the compressible NSAC system. Zbl 1365.76274 Axmann, Šimon; Mucha, Piotr Bogusław 3 2016 Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution. Zbl 1322.76052 Mucha, P. B.; Pokorný, M.; Zatorska, E. 21 2015 Critical functional framework and maximal regularity in action on systems of incompressible flows. Zbl 1335.35179 Danchin, Raphaël; Mucha, Piotr Bogusław 19 2015 Two cases of squares evolving by anisotropic diffusion. Zbl 1330.35223 Mucha, Piotr B.; Muszkieta, Monika; Rybka, Piotr 4 2015 A directional do-nothing condition for the Navier-Stokes equations. Zbl 1324.76015 Braack, Malte; Mucha, Piotr Boguslaw 46 2014 Approximate solutions to a model of two-component reactive flow. Zbl 1304.35501 Mucha, Piotr Bogusław; Pokorný, Milan; Zatorska, Ewelina 17 2014 Compressible perturbation of Poiseuille type flow. Zbl 1297.35170 Mucha, Piotr B.; Piasecki, Tomasz 8 2014 The rot-div system in exterior domains. Zbl 1336.35154 Mucha, Piotr B.; Pokorný, Milan 2 2014 Incompressible flows with piecewise constant density. Zbl 1260.35107 Danchin, Raphaël; Mucha, Piotr BogusŁaw 55 2013 Chemically reacting mixtures in terms of degenerated parabolic setting. Zbl 1302.76207 Mucha, P. B.; Pokorný, M.; Zatorska, E. 16 2013 Almost classical solutions to the total variation flow. Zbl 1263.35148 Kielak, Karolina; Mucha, Piotr Bogusław; Rybka, Piotr 8 2013 A local existence result for a system of viscoelasticity with physical viscosity. Zbl 1273.74024 Lewicka, Marta; Mucha, Piotr B. 7 2013 Divergence. Zbl 1262.35079 Danchin, Raphaël; Mucha, Piotr B. 7 2013 Well posedness of sudden directional diffusion equations. Zbl 1280.35070 Mucha, Piotr Bogusław; Rybka, Piotr 5 2013 New maximal regularity results for the heat equation in exterior domains, and applications. Zbl 1275.35060 Danchin, Raphaël; Mucha, Piotr Bogusław 3 2013 A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. Zbl 1247.35088 Danchin, Raphaël; Mucha, Piotr Bogusław 94 2012 Time-periodic solutions to the full Navier-Stokes-Fourier system. Zbl 1287.76187 Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan 26 2012 A note on a model system with sudden directional diffusion. Zbl 1245.82020 Mucha, Piotr Bogusław; Rybka, Piotr 6 2012 The divergence equation in rough spaces. Zbl 1227.35130 Danchin, Raphaël; Mucha, Piotr Bogusław 5 2012 Regular solutions to a monodimensional model with discontinuous elliptic operator. Zbl 1282.34028 Mucha, Piotr B. 4 2012 Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane. Zbl 1251.76007 Konieczny, P.; Mucha, P. B. 2 2011 Weak solutions to equations of steady compressible heat conducting fluids. Zbl 1191.35207 Mucha, Piotr B.; Pokorný, Milan 18 2010 Transport equation: extension of classical results for \(\operatorname{div}b\in\mathrm{BMO}\). Zbl 1221.35012 Mucha, Piotr Bogusław 15 2010 The surface diffusion flow on rough phase spaces. Zbl 1188.35093 Escher, Joachim; Mucha, Piotr B. 8 2010 A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space. Zbl 1160.35004 Danchin, Raphaël; Mucha, Piotr Bogusław 39 2009 On the steady compressible Navier-Stokes-Fourier system. Zbl 1172.35467 Mucha, Piotr B.; Pokorný, Milan 27 2009 On the existence of traveling waves in the 3D Boussinesq system. Zbl 1213.35352 Lewicka, Marta; Mucha, Piotr B. 11 2009 Almost classical solutions of static Stefan type problems involving crystalline curvature. Zbl 1169.53331 Mucha, Piotr Bogusław; Rybka, Piotr 1 2009 Stability of 2D incompressible flows in \(\mathbb R^3\). Zbl 1151.35412 Mucha, Piotr Bogusław 13 2008 3D steady compressible Navier-Stokes equations. Zbl 1140.76034 Pokorný, Milan; Mucha, Piotr B. 11 2008 A caricature of a singular curvature flow in the plane. Zbl 1160.35436 Mucha, Piotr B.; Rybka, Piotr 7 2008 Zygmund spaces, inviscid limit and uniqueness of Euler flows. Zbl 1143.35346 Mucha, Piotr Bogusław; Rusin, Walter M. 6 2008 Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains. Zbl 1139.76017 Glass, Olivier; Mucha, Piotr Bogusław 1 2008 Global solutions, structure of initial data and the Navier-Stokes equations. Zbl 1154.35418 Mucha, Piotr Bogusław 1 2008 A new look at equilibria in Stefan-type problems in the plane. Zbl 1145.53033 Mucha, Piotr B.; Rybka, Piotr 6 2007 On weak solutions to the Stefan problem with Gibbs-Thomson correction. Zbl 1212.35514 Mucha, Piotr Boguslaw 5 2007 On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations. Zbl 1189.35262 Mucha, P. B.; Pokorný, M. 19 2006 Convergence of Rothe’s scheme for the Navier-Stokes equations with slip conditions in 2D domains. Zbl 1108.76021 Mucha, Piotr B.; Rautmann, Reimund 8 2006 On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows. Zbl 1213.35341 Konieczny, Paweł; Mucha, Piotr Bogusław 4 2006 Flux problem for a certain class of two-dimensional domains. Zbl 1181.35176 Mucha, Piotr Bogusław 5 2005 On the Stefan problem with surface tension in the \(L_p\) framework. Zbl 1106.35148 Mucha, Piotr Bogusław 3 2005 Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions. Zbl 1082.35123 Mucha, Piotr Bogusław; Sadowski, Witold 2 2005 On a pump. Zbl 1088.35045 Mucha, Piotr Bogusław 2 2005 On a problem for the Navier-Stokes equations with the infinite Dirichlet integral. Zbl 1096.35104 Mucha, Piotr B. 1 2005 On temporal asymptotics for the \(p\)th power viscous reactive gas. Zbl 1094.76052 Lewicka, Marta; Mucha, Piotr B. 18 2004 Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations. Zbl 1057.35033 Mucha, Piotr Bogusław; Zajączkowski, Wojciech M. 13 2004 On cylindrical symmetric flows through pipe-like domains. Zbl 1057.35032 Mucha, Piotr Boguslaw 11 2004 The Navier-Stokes equations and the maximum principle. Zbl 1077.35106 Mucha, Piotr Bogusław 7 2004 The Cauchy problem for the compressible Navier-Stokes equations in the \(L_p\)-framework. Zbl 1048.35065 Mucha, Piotr Bogusław 17 2003 On Navier-Stokes equations with slip boundary conditions in an infinite pipe. Zbl 1028.35119 Mucha, Piotr Bogusław 15 2003 On the inviscid limit of the Navier-Stokes equations for flows with large flux. Zbl 1073.76016 Mucha, Piotr Bogusław 14 2003 Asymptotic behavior of a steady flow in a two-dimensional pipe. Zbl 1037.35058 Mucha, Piotr Bogusław 3 2003 On a \(L_{p}\)-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions. Zbl 1048.35064 Mucha, Piotr Bogusław; Zajłoczkowski, Wojciech M. 18 2002 On local-in-time existence for the Dirichlet problem for equations of compressible viscous fluids. Zbl 0992.35063 Mucha, Piotr Bogusław; Zajączkowski, Wojciech 2 2002 Stability of nontrivial solutions of the Navier-Stokes system on the three-dimensional torus. Zbl 1016.35056 Mucha, Piotr Bogusław 14 2001 Compressible Navier-Stokes system in 1-D. Zbl 0998.35036 Mucha, Piotr Bogusław 12 2001 On almost global existence for the Cauchy problem for compressible Navier-Stokes equations in the \(L_p\)-framework. Zbl 1006.35073 Mucha, P. B. 5 2001 Stability of constant solutions to the Navier-Stokes system in \({\mathbb R}^3\). Zbl 1009.35060 Mucha, Piotr Bogusław 5 2001 On an estimate for the linearized compressible Navier–Stokes equations in the \(L_p\)-framework. Zbl 0970.35092 Mucha, Piotr Bogusław 4 2001 On the existence for the Cauchy-Neumann problem for the Stokes system in the \(L_p\)-framework. Zbl 0970.35107 Mucha, Piotr Bogusław; Zajączkowski, Wojciech 16 2000 On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion. Zbl 0996.35050 Mucha, Piotr Bogusław; Zajączkowski, Wojciech 13 2000 Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case. Zbl 0956.83006 Mucha, Piotr Bogusław 1 2000 Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime. Zbl 0937.83003 Mucha, Piotr Bogusław 6 1999 The Cauchy problem for the Einstein-Vlasov system. Zbl 0920.35006 Mucha, P. B. 2 1998 The Cauchy problem for the Einstein-Boltzmann system. Zbl 0914.35082 Mucha, P. B. 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 717 Authors 47 Mucha, Piotr Bogusław 25 Pokorný, Milan 24 Zatorska, Ewelina 20 Danchin, Raphaël 18 Zhang, Ping 15 Choi, Young-Pil 15 Zhai, Xiaoping 14 Liu, Yicheng 14 Piasecki, Tomasz 13 Novotný, Antonín 13 Zajączkowski, Wojciech M. 12 Giga, Yoshikazu 12 Shibata, Yoshihiro 11 Paicu, Marius 11 Wang, Xiao 10 Ha, Seung-Yeal 10 Li, Yongsheng 10 Rybka, Piotr 9 Feireisl, Eduard 9 Nečasová, Šárka 9 Peszek, Jan 8 Ogawa, Takayoshi 8 Wen, Huanyao 8 Zhang, Ting 8 Zhong, Xin 7 Bresch, Didier 7 Kim, Jeongho 7 Shvydkoy, Roman V. 7 Tadmor, Eitan 6 Abidi, Hammadi 6 Druet, Pierre-Étienne 6 Kukavica, Igor 6 Neustupa, Jiří 6 Prokudin, Dmitriĭ Alekseevich 6 Shimizu, Senjo 6 Sváček, Petr 6 Tan, Changhui 6 Wang, Yun 6 Yin, Xiuxia 6 Yu, Yanghai 6 Zhu, Changjiang 5 Fanelli, Francesco 5 Fang, Daoyuan 5 Huang, Jingchi 5 Jung, Jinwook 5 Kim, Jaemyoung 5 Lewicka, Marta 5 Li, Jinlu 5 Li, Yang 5 Poyato, David 5 Rusin, Walter M. 5 Xu, Huan 5 Xue, Liutang 5 Zhang, Xiongtao 4 Burtea, Cosmin 4 Carrillo de la Plata, José Antonio 4 Chemetov, Nikolai V. 4 Chen, Senming 4 Chen, Zhimin 4 Chen, Zili 4 Gancedo, Francisco 4 Gatica, Gabriel N. 4 Giga, Mi-Ho 4 Guo, Boling 4 Henderson, Christopher 4 Horáček, Jaromir 4 Hron, Jaroslav 4 Hu, Xianpeng 4 Huang, Lan 4 Konieczny, Paweł 4 Kwon, Young-Sam 4 Łasica, Michał 4 Lasiecka, Irena 4 Mamontov, Aleksandr Evgen’evich 4 Moll, Salvador 4 Nordström, Jan 4 Park, Jinyeong 4 Qian, Chenyin 4 Ru, Lining 4 Soler, Juan S. 4 Tan, Zhong 4 Valášek, Jan 4 Wang, Dehua 4 Xie, Chunjing 4 Yan, Wei 4 Yao, Zhengan 4 Zhu, Ning 4 Zhu, Weipeng 3 Ahn, Hyunjin 3 Bašić-Šiško, Angela 3 Cai, Hong 3 Cheng, Jianfei 3 Cipriano, Fernanda 3 Dražić, Ivan 3 Friedrich, Manuel 3 Giacomelli, Lorenzo 3 Gómez-Vargas, Bryan 3 Gui, Guilong 3 Guo, Ben-Yu 3 Haspot, Boris ...and 617 more Authors all top 5 Cited in 144 Serials 66 Journal of Differential Equations 33 Journal of Mathematical Fluid Mechanics 30 Archive for Rational Mechanics and Analysis 30 Journal of Mathematical Analysis and Applications 22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 21 Mathematical Methods in the Applied Sciences 21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 SIAM Journal on Mathematical Analysis 14 Nonlinear Analysis. Real World Applications 13 Nonlinearity 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Discrete and Continuous Dynamical Systems 10 Journal of Mathematical Physics 10 Calculus of Variations and Partial Differential Equations 10 Journal of Evolution Equations 9 Communications in Mathematical Physics 9 Mathematische Annalen 9 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Functional Analysis 7 Acta Applicandae Mathematicae 7 Communications on Pure and Applied Analysis 7 Networks and Heterogeneous Media 7 Kinetic and Related Models 7 Science China. Mathematics 6 International Journal of Engineering Science 6 Journal of Computational Physics 6 Physica D 6 Applied Mathematics Letters 6 Discrete and Continuous Dynamical Systems. Series S 5 Applicable Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Applications of Mathematics 5 Communications in Partial Differential Equations 5 Journal of Nonlinear Science 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Journal of Statistical Physics 4 Journal of Computational and Applied Mathematics 4 Quarterly of Applied Mathematics 4 Journal of Scientific Computing 4 Living Reviews in Relativity 3 Communications on Pure and Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Contemporary Mathematics 3 Boundary Value Problems 3 Annals of PDE 3 Journal of Elliptic and Parabolic Equations 2 Computers and Fluids 2 Inverse Problems 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 SIAM Journal on Control and Optimization 2 Siberian Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematicae Applicatae Sinica. English Series 2 Japan Journal of Industrial and Applied Mathematics 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the European Mathematical Society (JEMS) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Applied Dynamical Systems 2 Analysis and Applications (Singapore) 2 Journal of Hyperbolic Differential Equations 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 SIAM Journal on Imaging Sciences 2 Analysis & PDE 2 São Paulo Journal of Mathematical Sciences 2 Bulletin of Mathematical Sciences 2 Evolution Equations and Control Theory 2 Journal de l’École Polytechnique – Mathématiques 2 SN Partial Differential Equations and Applications 1 Computers & Mathematics with Applications 1 General Relativity and Gravitation 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Physica A 1 Studia Mathematica 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Automatica 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Le Matematiche ...and 44 more Serials all top 5 Cited in 37 Fields 553 Partial differential equations (35-XX) 465 Fluid mechanics (76-XX) 77 Biology and other natural sciences (92-XX) 49 Numerical analysis (65-XX) 38 Classical thermodynamics, heat transfer (80-XX) 33 Statistical mechanics, structure of matter (82-XX) 28 Mechanics of deformable solids (74-XX) 22 Ordinary differential equations (34-XX) 22 Systems theory; control (93-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 15 Functional analysis (46-XX) 14 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Operator theory (47-XX) 10 Probability theory and stochastic processes (60-XX) 10 Mechanics of particles and systems (70-XX) 7 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Relativity and gravitational theory (83-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Measure and integration (28-XX) 5 Computer science (68-XX) 5 Astronomy and astrophysics (85-XX) 4 Functions of a complex variable (30-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) Citations by Year