Publications

Piotr Mucha

Number of publications: 110

2024

• Jacek Cyranka , Piotr Mucha , A polarization opinion model inspired by bounded confidence communications, Journal of the Franklin Institute, 361 (16) 2024, p. 107140. See in PBN

2023

• Raphaël Danchin, Piotr Mucha , Compressible Navier‐Stokes equations with ripped density, Communications on Pure and Applied Mathematics, 76 (11) 2023, p. 3437-3492. See in PBN
• Piotr Mucha , Wojciech S. Ożański, Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour, Communications in Mathematical Sciences, 21 (7) 2023, p. 1937-1959. See in PBN

2022

• Aleksandra Puchalska , Piotr Mucha , Burgers’ Equation Revisited: Extension of Mono-Dimensional Case on a Network, Journal of Mathematical Fluid Mechanics, 24 (4) 2022. See in PBN
• Piotr Mucha , Tomasz Piasecki , Reacting Multi-component Fluids: Regular Solutions in Lorentz Spaces, Journal of Mathematical Fluid Mechanics, 24 (2) 2022, p. 37: 1-24. See in PBN

2021

• Raphaël Danchin, Patrick Tolksdorf, Piotr Mucha , Lorentz spaces in action on pressureless systems arising from models of collective behavior, JOURNAL OF EVOLUTION EQUATIONS, 21 (3) 2021, p. 3103-3127. See in PBN
• MAGDALENA ROSIŃSKA, Tomasz Piasecki , Piotr Mucha , On limits of contact tracing in epidemic control, PLoS ONE, 16 (8) 2021, p. e0256180. See in PBN

2020

• Piotr Mucha , Liutang Xue, Boussinesq system with measure forcing, Mathematische Annalen, 2020. See in PBN
• Piotr Minakowski, Piotr Mucha , Jan Peszek , Density-induced consensus protocol, Mathematical Models and Methods in Applied Sciences, 30 (12) 2020, p. 2389-2415. See in PBN
• Piotr Mucha , Tomasz Piasecki , Stationary compressible Navier–Stokes equations with inflow condition in domains with piecewise analytical boundaries, Pure and Applied Analysis, 2 (1) 2020, p. 123-155. See in PBN

2019

• Piotr Mucha , Liutang Xue, Xiaoxin Zheng, Between homogeneous and inhomogeneous Navier–Stokes systems: The issue of stability, Journal of Differential Equations, 267 (1) 2019, p. 307-363. See in PBN
• Didier Bresch, Piotr Mucha , Ewelina Zatorska, Finite-Energy Solutions for Compressible Two-Fluid Stokes System, Archive for Rational Mechanics and Analysis, 232 (2) 2019, p. 987-1029. See in PBN
• Raphaël Danchin, Piotr Mucha , From compressible to incompressible inhomogeneous flows in the case of large data, Tunisian Journal of Mathematics, 1 (1) 2019, p. 127-149. See in PBN
• Raphaël Danchin, Piotr Mucha , Bartosz Wróblewski, Jan Peszek , Regular solutions to the fractional Euler alignment system in the Besov spaces framework, Mathematical Models and Methods in Applied Sciences, 29 (1) 2019, p. 89-119. See in PBN
• Raphaël Danchin, Piotr Mucha , The Incompressible Navier‐Stokes Equations in Vacuum, Communications on Pure and Applied Mathematics, 72 (7) 2019, p. 1351-1385. See in PBN

2018

• Jacek Cyranka, Piotr Mucha , A construction of two different solutions to an elliptic system, Journal of Mathematical Analysis and Applications, 465 (1) 2018, p. 500-530. See in PBN
• Piotr Mucha , Jan Peszek , Milan Pokorný, Flocking particles in a non-Newtonian shear thickening fluid, Nonlinearity, 31 (6) 2018, p. 2703-2726. See in PBN
• Jacek Cyranka, Piotr Mucha , Edriss S. Titi, Piotr Zgliczyński, Stabilizing the long-time behavior of the forced Navier-Stokes and damped Euler systems by large mean flow, Physica D: Nonlinear Phenomena, 369 2018, p. 18-29. See in PBN
• Šimon Axmann, Piotr Mucha , Milan Pokorný, Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid, Topological Methods in Nonlinear Analysis, 52 (1) 2018, p. 259-283. See in PBN
• Piotr Mucha , Jan Peszek , The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness, Archive for Rational Mechanics and Analysis, 227 (1) 2018, p. 273-308. See in PBN

2017

• Rapha\"el Danchin, Piotr Mucha , Compressible Navier-Stokes system: large solutions and incompressible limit, Advances in Mathematics, 320 2017, p. 904-925. See in PBN
• Piotr Mucha , Agnieszka Świerczewska-Gwiazda , High-temperature viscous flows. A case of pudding model, Nonlinear Analysis, Theory, Methods and Applications, 151 2017, p. 109-125. See in PBN
• Young-Pil Choi, Jos\'e A. Carrillo, Piotr Mucha , Jan Peszek , Sharp conditions to avoid collisions in singular Cucker-Smale interactions, Nonlinear Analysis: Real World Applications, 37 2017, p. 317-328. See in PBN
• Piotr Mucha , Milan Pokorn\'y, Šimon Axmann, Steady solutions to viscous shallow water equations. The case of heavy water, Communications in Mathematical Sciences, 15 (5) 2017, p. 1385-1402. See in PBN
• Michał Łasica , Salvador Moll, Piotr Mucha , Total Variation Denoising in l1 Anisotropy, SIAM Journal on Imaging Sciences, 10 (4) 2017, p. 1691-1723. See in PBN

2016

• Marta Lewicka, Piotr Mucha , A local and global well-posedness results for the general stress-assisted diffusion systems, Journal of Elasticity, 2016. See in PBN
• Simon Axmann, Piotr Mucha , Decently regular steady solutions to the compressible NSAC system, Topological Methods in Nonlinear Analysis, 48 (1) 2016, p. 131-157. See in PBN
• David Maltese, Martin Mich\'alek, Piotr Mucha , Antonin Novotn\'y, Milan Pokorn\'y, Ewelina Zatorska, Existence of weak solutions for compressible Navier-Stokes equations with entropy transport, Journal of Differential Equations, 2016. See in PBN
• Piotr Mucha , Milan Pokorny, Ewelina Zatorska, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2016. See in PBN

2015

• Raphaël Danchin, Piotr Mucha , Critical Functional Framework and Maximal Regularity in Action on Systems of Incompressible Flows, 2015. See in PBN
• Piotr Mucha , Milan Pokorn\'y, Ewelina Zatorska, Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution, SIAM Journal on Mathematical Analysis, 2015. See in PBN
• Piotr Mucha , Piotr Rybka , Models of sudden directional diffusion, Variational Methods for Evolving Objects, Sapporo, Japan, 30 July 2012 - 3 August 2012. See in PBN
• Piotr Mucha , Ewelina Zatorska, Multicomponent mixture model: the issue of existence via time discretization, Communications in Mathematical Sciences, 2015. See in PBN
• Piotr Mucha , Monika Muszkieta, Piotr Rybka , Two cases of squares evolving by anisotropic diffusion, Advances in Differential Equations, 20 2015, p. 773-800. See in PBN

2014

• Piotr Mucha , Ewelina Zatorska, Milan Pokorny, Approximate solutions to model of o two-components reactive flow, Discrete and Continuous Dynamical Systems, Seria S 7 (5) 2014, p. 1079-1099. See in PBN
• Piotr Mucha , Tomasz Piasecki, Compressible perturbation of Poiseuille type flow, Journal des Mathematiques Pures et Appliquees, 2014. See in PBN
• Malte Braack, Piotr Mucha , Directional do-nothing condition for the Navier-Stokes equations, Journal of Computational Mathematics, 2014. See in PBN
• Piotr Mucha , Stagnation, creation, breaking, Advances in Mathematical Sciences and Applications, 24 (2) 2014, p. 223-235. See in PBN
• Piotr Mucha , Milan Pokorn\'y, The rot-div system in exterior domains, Journal of Mathematical Fluid Mechanics, 2014. See in PBN

2013

• Piotr Mucha , Marta Lewicka, A local existence result for a system of viscoelasticity with physical viscosity, EVOLUTION EQUATIONS AND CONTROL THEORY (EECT), 2 (2) 2013, p. 337-358. See in PBN
• Piotr Mucha , Piotr Rybka , Karolina Kielak, Almost classical solutions to the total variation flow, JOURNAL OF EVOLUTION EQUATIONS, 13 2013, p. 21-49. See in PBN
• Piotr Mucha , Ewelina Zatorska, Milan Pokorny, Chemically reacting mixtures in terms of degenerated parabolic setting, Journal of Mathematical Physics, 54 (7) 2013, p. 1-17. See in PBN
• Raphael Danchin, Piotr Mucha , Divergence, Discrete and Continuous Dynamical Systems, 6 (5) 2013, p. 1163-1172. See in PBN
• Piotr Mucha , Raphael Danchin, Incompressible Flows with Piecewise Constant Density, Archive for Rational Mechanics and Analysis, 207 2013, p. 991-1023. See in PBN
• Raphael Danchin, Piotr Mucha , New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications, 2013. See in PBN
• Piotr Mucha , Piotr Rybka , Well posedness of sudden directional diffusion equations, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013. See in PBN
• Piotr Mucha , Piotr Rybka , Well-posedness of sudden directional diffusion equations, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013. See in PBN

2012

• Raphael Danchin, Piotr Mucha , A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density, Communications on Pure and Applied Mathematics, 2012. See in PBN
• Piotr Mucha , Piotr Rybka , A Note on a Model System with Sudden Directional Diffusion, Journal of Statistical Physics, 2012. See in PBN
• Piotr Mucha , Regular solutions to a monodimensional model with discontinuous elliptic operator, Interfaces and Free Boundaries, 2012. See in PBN
• Raphael Danchin, Piotr Mucha , The divergence equation in rough spaces, Journal of Mathematical Analysis and Applications, 2012. See in PBN
• Eduard Feireisl, Piotr Mucha , Antonin Novotny, Milan Pokorny, Time-Periodic Solutions to the Full Navier-Stokes-Fourier System, Archive for Rational Mechanics and Analysis, 2012. See in PBN

2011

• Paweł Konieczny, Piotr Mucha , Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane, Nonlinearity, 2011. See in PBN
• Jacek Escher, P. Guidotti, M. Hieber, Piotr Mucha , J. Pruss, Y. Shibata, G. Simonett, C. Walker, W. Zajączkowski, Parabolic Problems. The Herbert Amann Festschrift, 2011. See in PBN

2010

• Joachim Escher, Piotr Mucha , The surface diffusion flow on rough phase spaces, Discrete and Continuous Dynamical Systems, 2010. See in PBN
• Piotr Mucha , Transport equation: Extension of classical results for div b in BMO, Journal of Differential Equations, 2010. See in PBN
• Piotr Mucha , Milan Pokorny, Weak solutions to equations of steady compressible heat conducting fluids, Mathematical Models and Methods in Applied Sciences, 2010. See in PBN

2009

• Raphael Danchin, Piotr Mucha , A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space, Journal of Functional Analysis, 2009. See in PBN
• Piotr Mucha , Piotr Rybka , Almost classical solutions of static Stefan type problems involving crystalline curvature, Nonlocal and Abstract Parabolic Equations and their Applications, 2009. See in PBN
• Piotr Mucha , Marek Niezgódka, Piotr Rybka , Nonlocal and Abstract Parabolic Equations and their Applications, 2009. See in PBN
• Marta Lewicka, Piotr Mucha , On the Existence of Traveling Waves in the 3D Boussinesq System, Communications in Mathematical Physics, 2009. See in PBN
• Piotr Mucha , Milan Pokorny, On the Steady Compressible Navier-Stokes-Fourier System, Communications in Mathematical Physics, 2009. See in PBN

2008

• Piotr Mucha , Milan Pokorny, 3D steady compressible Navier-Stokes equations, Discrete and Continuous Dynamical Systems, 2008. See in PBN
• Piotr Mucha , Piotr Rybka , A caricature of a singular flow in the plane, Nonlinearity, 2008. See in PBN
• Piotr Mucha , Global solutions, structure of initial data and the Navier-Stokes equations, 2008. See in PBN
• Olivier Glass, Piotr Mucha , Inviscid limit for the 2D stationary Euler system with arbitrary force in simply connected domain, Applicationes Mathematicae, 2008. See in PBN
• Piotr Mucha , Stability of 2D incompressible flows in R^3, Journal of Differential Equations, 2008. See in PBN
• Piotr Mucha , Walter Rusin, Zygmund spaces, inviscid limit and uniqueness of Euler flows, Communications in Mathematical Physics, 2008. See in PBN

2007

• Piotr Mucha , Piotr Rybka , A new look at equilibrium in Stefan-type problems in the plane, SIAM Journal on Mathematical Analysis, 2007. See in PBN
• Piotr Mucha , Limit of kinetic term for a Stefan problem, Discrete and Continuous Dynamical Systems, 2007. See in PBN
• Piotr Mucha , On lifespan of solutions to the Einstein equations, Topological Methods in Nonlinear Analysis, 2007. See in PBN
• Piotr Mucha , On weak solutions to the Stefan problem with Gibbs-Thomson Correction, Differential and Integral Equations, 2007. See in PBN

2006

• Piotr Mucha , Reimund Rautmann, Convergence of Rothe's scheme for the Navier-Stokes equations with slip conditions in 2D domains, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, 2006. See in PBN
• Piotr Mucha , M Pokorny, On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations, Nonlinearity, 2006. See in PBN
• Paweł Konieczny, Piotr Mucha , On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows, International Journal of Engineering Science, 2006. See in PBN
• Piotr Mucha , Stefan problem in a 2Dcase, Colloquium Mathematicum, 2006. See in PBN

2005

• Piotr Mucha , A Model of a Two-dimensional Pump, 2005. See in PBN
• Piotr Mucha , Flux problem for a certain class of two-dimensional domains, Nonlinearity, 2005. See in PBN
• Piotr Mucha , Witold Sadowski, Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005. See in PBN
• Piotr Mucha , On a problem for the Navier-Stokes equations with the infinite Dirichlet integral, Zeitschrift für Angewandte Mathematik und Physik, 2005. See in PBN
• Piotr Mucha , On a pump, Acta Applicandae Mathematicae, 2005. See in PBN
• Piotr Mucha , On the Stefan problem with surface tension in the Lp framework, Advances in Differential Equations, 2005. See in PBN
• Piotr Mucha , The Eulerian limit and the slip boundary conditions - admissible irregularity of the boundary, 2005. See in PBN

2004

• Piotr Mucha , Wojciech Zajączkowski, Global in time existence of solutions of the Dirichlet problem for compressible Navier-Stokes equations, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, 2004. See in PBN
• Piotr Mucha , On cylindrical symmetric flows through pipe-like domains, Journal of Differential Equations, 2004. See in PBN
• Marta Lewicka, Piotr Mucha , On temporal asymptotics for the p`th power viscous reactive gas, Nonlinear Analysis, Theory, Methods and Applications, 2004. See in PBN
• Piotr Mucha , On the structure of flows through pipe-like domains satisfying a geometrical constraint, Applicationes Mathematicae, 2004. See in PBN
• Piotr Mucha , The Navier-Stokes equations and the maximum principle, International Mathematics Research Notices, 2004. See in PBN

2003

• Piotr Mucha , Asymptotic behavior of a steady flow in a two-dimensional, Studia Mathematica, 2003. See in PBN
• Piotr Mucha , On Navier-Stokes equations with slip boundary conditions in an infinite pipe, Acta Applicandae Mathematicae, 2003. See in PBN
• Piotr Mucha , On the inviscid limit of the Navier- Stokes equations for flows large flux, Nonlinearity, 2003. See in PBN
• Piotr Mucha , The Cauchy problem for the compressible Navier-Stokes equations in the Lp-framework., Nonlinear Analysis, Theory, Methods and Applications, 2003. See in PBN

2002

• Piotr Mucha , Wojciech Zajączkowski, On a Lp-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions, Journal of Differential Equations, 2002. See in PBN
• Piotr Mucha , Wojciech Zajączkowski, On local in time existence for the Dirichlet problem for equations of compressile viscous fluids., Annales Polonici Mathematici, 2002. See in PBN
• Piotr Mucha , Wojciech Zajączkowski, On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the Lp-framework., Annales Polonici Mathematici, 2002. See in PBN

2001

• Piotr Mucha , Compressible Navier-Stokes system in 1-D., MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2001. See in PBN
• Piotr Mucha , On almost global existence for the Cauchy problem for compressible Navier-Stokes equations in the Lp-framework., Journal of Applied Analysis, 2001. See in PBN
• Piotr Mucha , On an estimate for the linearized compressible Navier-Stokes equations in the Lp-framework., Colloquium Mathematicum, 2001. See in PBN
• Piotr Mucha , Stability of constant solutions to the Navier-Stokes system in R3., Applicationes Mathematicae, 2001. See in PBN
• Piotr Mucha , Stability of nontrivial solutions of the Navier-Stokes system on the three dimensional torus., Journal of Differential Equations, 2001. See in PBN
• Piotr Mucha , The compressible Navier-Stokes equations., 2001. See in PBN

2000

• Piotr Mucha , Global existence of solutions of Einstein-Boltzmann equations in spatially homogeneous case.s, 2000. See in PBN
• Piotr Mucha , Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case, BANACH CENTER PUBLICATIONS, 2000. See in PBN
• Piotr Mucha , Wojciech Zajączkowski, On local existence of solutions of free boundary problem for incompressible viscours self-gravitating fluid motion, Applicationes Mathematicae, 2000. See in PBN
• Piotr Mucha , Wojciech Zajączkowski, On the existence for the Cauchy-Neumann problem for the Stokes system in the $L_p$-framework, Studia Mathematica, 2000. See in PBN
• Piotr Mucha , Wojciech Zajączkowski, On the existence for the Cauchy-Neumann problem for the Stokes system in the Lp-Framework, Studia Mathematica, 2000. See in PBN

Others

• Ondřej Kreml, Milan Pokorný, Piotr Mucha , Existence and Uniqueness of Strong Stationary Solutions for Compressible Flows, Handbook of mathematical analysis in mechanics of viscous fluids, , p. 2663-2719. See in PBN
• Piotr Mucha , Milan Pokorný, Ewelina Zatorska, Existence of Stationary Weak Solutions for Compressible Heat Conducting Flows, Handbook of mathematical analysis in mechanics of viscous fluids, , p. 2595-2662. See in PBN
• Piotr Mucha , Raphael Danchin, New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications, Studies in Phase Space Analysis with Applications to PDEs. See in PBN
• Piotr Minakowski, Piotr Mucha , Jan Peszek , Ewelina Zatorska, Singular Cucker–Smale Dynamics, Active Particles, Volume 2 Advances in Theory, Models, and Applications, , p. 201-243. See in PBN