Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
Publications
Piotr Mucha
2018
- Piotr B. Mucha and 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
- Jacek Cyranka, Piotr Mucha, Edriss S. Titi and 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
- Jacek Cyranka and 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 and Milan Pokorn\'y, Flocking particles in a non-Newtonian shear thickening fluid, Nonlinearity 31 (6) 2018, p. 2703–2725.see in PBN
- \vSimon Axmann, Piotr Mucha and Milan Pokorn\'y, 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
2017
- Piotr Mucha and Agnieszka Świerczewska-Gwiazda, High-temperature viscous flows. A case of pudding model, Nonlinear Analysis-theory Methods & Applications 151 2017, p. 109–125.see in PBN
- Michał Łasica, Salvador Moll and Piotr Mucha, Total Variation Denoising in l1 Anisotropy, Siam Journal On Imaging Sciences 10 (4) 2017, p. 1691–1723.see in PBN
- Jos\'e A. Carrillo, Young-Pil Choi, Piotr B. Mucha and 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
- Rapha\"el Danchin and Piotr Bogusław Mucha, Compressible Navier-Stokes system: large solutions and incompressible limit, Advances In Mathematics 320 2017, p. 904–925.see in PBN
- \v Simon Axmann, Piotr Bogusław Mucha and Milan Pokorn\'y, 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
2016
- Piotr B. Mucha, Milan Pokorny and Ewelina Zatorska (eds.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing, 2016.see in PBN
- \v Simon Axmann and Piotr Bogus\l aw Mucha, Decently regular steady solutions to the compressible NSAC system, Topological Methods In Nonlinear Analysis 48 (1) 2016, p. 131–157.see in PBN
- Marta Lewicka and Piotr B. Mucha, A local and global well-posedness results for the general stress-assisted diffusion systems, Journal Of Elasticity 123 (1) 2016, p. 19–41.see in PBN
- David Maltese, Martin Mich\'alek, Piotr B. Mucha, Antonin Novotn\'y, Milan Pokorn\'y and Ewelina Zatorska, Existence of weak solutions for compressible Navier-Stokes equations with entropy transport, Journal Of Differential Equations 261 (8) 2016, p. 4448–4485.see in PBN
2015
- Raphaël Danchin and Piotr Bogusław Mucha, Critical Functional Framework and Maximal Regularity in Action on Systems of Incompressible Flows, Société Mathématique de France, 2015.see in PBN
- Piotr Mucha, Monika Muszkieta and Piotr Rybka, Two cases of squares evolving by anisotropic diffusion, Advances In Differential Equations 20 2015, p. 773–800.see in PBN
- Piotr Mucha and Piotr Rybka, Models of sudden directional diffusion, in: Variational Methods for Evolving Objects, World Scientific, 2015, p. 225–244.see in PBN
- Ewelina Zatorska and Piotr Mucha, Multicomponent mixture model: the issue of existence via time discretization, Communications In Mathematical Sciences 13 (8) 2015, p. 1975–2003.see in PBN
- Piotr Mucha, Milan Pokorn\'y and Ewelina Zatorska, Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution, Siam Journal On Mathematical Analysis 47 (5) 2015, p. 3747–3797.see in PBN
- Rapha\"el Danchin and Piotr Mucha, Critical functional framework and maximal regularity in action on systems of incompressible flows, Mémoires De La Société Mathématique De France (143) 2015, p. vi+151.see in PBN
2014
- Piotr Mucha, Milan Pokorny and Ewelina Zatorska, 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 B. Mucha and Tomasz Piasecki, Compressible perturbation of Poiseuille type flow, Journal De Mathematiques Pures Et Appliquees 102 (2) 2014, p. 338–363.see in PBN
- Malte Braack and Piotr Mucha, Directional do-nothing condition for the Navier-Stokes equations, Journal Of Computational Mathematics 32 (5) 2014, p. 507–521.see in PBN
- Piotr Mucha and Milan Pokorn\'y, The rot-div system in exterior domains, Journal Of Mathematical Fluid Mechanics 16 (4) 2014, p. 701–720.see in PBN
- Piotr Mucha, Stagnation, creation, breaking, Advances In Mathematical Sciences And Applications 24 (2) 2014, p. 223–235.see in PBN
2013
- Piotr Mucha and Raphael Danchin, New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications, in: Studies in Phase Space Analysis with Applications to PDEs, Springer Science+Business Media, New York 2013.see in PBN
- Piotr Mucha and Raphael Danchin, Divergence, Discrete And Continuous Dynamical Systems 6 (5) 2013, p. 1163–1172.see in PBN
- Piotr Mucha and Piotr Rybka, Well-posedness of sudden directional diffusion equations, Mathematical Methods In The Applied Sciences 36 2013, p. 2359–2370.see in PBN
- Marta Lewicka and Piotr Mucha, 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
- Raphael Danchin and Piotr Mucha, Incompressible Flows with Piecewise Constant Density, Archive For Rational Mechanics And Analysis 207 2013, p. 991–1023.see in PBN
- Karolina Kielak, Piotr Mucha and Piotr Rybka, Almost classical solutions to the total variation flow, Journal Of Evolution Equations 13 2013, p. 21–49.see in PBN
- Piotr Mucha, Milan Pokorny and Ewelina Zatorska, Chemically reacting mixtures in terms of degenerated parabolic setting, Journal Of Mathematical Physics 2013.see in PBN
- Piotr Bogusław Mucha and Piotr Rybka, Well posedness of sudden directional diffusion equations, Mathematical Methods In The Applied Sciences 36 (17) 2013, p. 2359–2370.see in PBN
- Rapha\"el Danchin and Piotr Bogusław Mucha, Divergence, Discrete Contin. Dyn. Syst. Ser. S 6 (5) 2013, p. 1163–1172.see in PBN
2012
- Piotr Mucha and Piotr Rybka, A Note on a Model System with Sudden Directional Diffusion, Journal Of Statistical Physics 146 2012, p. 975–988.see in PBN
- Piotr Mucha and Raphael Danchin, The divergence equation in rough spaces, Journal Of Mathematical Analysis And Applications 386 (1) 2012, p. 10–31.see in PBN
- Piotr Mucha, Eduard Feireisl, Antonin Novotny and Milan Pokorny, Time-Periodic Solutions to the Full Navier-Stokes-Fourier System, Archive For Rational Mechanics And Analysis 204 2012, p. 745–786.see in PBN
- Raphael Danchin and Piotr Mucha, A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density, Communications On Pure And Applied Mathematics LXV 2012, p. 1458–1480.see in PBN
- Piotr Mucha, Regular solutions to a monodimensional model with discontinuous elliptic operator, Interfaces And Free Boundaries 14 2012, p. 145–152.see in PBN
2011
- Paweł Konieczny and Piotr Mucha, Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane, Nonlinearity 24 2011, p. 1861–1882.see in PBN
- Piotr Mucha, Jacek Escher, P. Guidotti, M. Hieber, J. Pruss, Y. Shibata, G. Simonett, C. Walker and W. Zajączkowski (eds.), Parabolic Problems. The Herbert Amann Festschrift, Springer, Basel, Switzerland 2011.see in PBN
2009
- Piotr Mucha, Marek Niezgódka and Piotr Rybka (eds.), Nonlocal and Abstract Parabolic Equations and their Applications, Institute of Mathematics, Polish Academy of Science, Warszawa 2009.see in PBN
- Piotr Mucha and Raphael Danchin, A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space, Journal Of Functional Analysis 256 2009, p. 881–927.see in PBN
- Piotr Mucha and Milan Pokorny, On the Steady Compressible Navier-Stokes-Fourier System, Communications In Mathematical Physics 288 2009, p. 349–377.see in PBN
- Piotr Rybka and Piotr Mucha, Almost classical solutions of static Stefan type problems involving crystalline curvature, in: Nonlocal and Abstract Parabolic Equations and their Applications, Institute of Mathematics, Polish Academy of Science, Warszawa 2009, p. 223–234.see in PBN
- Piotr Mucha and Marta Lewicka, On the Existence of Traveling Waves in the 3D Boussinesq System, Communications In Mathematical Physics 292 2009, p. 417–429.see in PBN
2008
- Piotr Mucha and Milan Pokorny, 3D steady compressible Navier-Stokes equations, Discrete And Continuous Dynamical Systems 1 (1) 2008, p. 151–163.see in PBN
- Piotr Mucha and Walter Rusin, Zygmund spaces, inviscid limit and uniqueness of Euler flows, Communications In Mathematical Physics 280 (3) 2008, p. 831–841.see in PBN
- Piotr Mucha and Olivier Glass, Inviscid limit for the 2D stationary Euler system with arbitrary force in simply connected domain, Applicationes Mathematicae 35 (1) 2008, p. 49–67.see in PBN
- Piotr Mucha and Piotr Rybka, A caricature of a singular flow in the plane, Nonlinearity 21 (10) 2008, p. 2281–2316.see in PBN
- Piotr Mucha, Global solutions, structure of initial data and the Navier-Stokes equations, in: Parabolic and Navier-Stokes equations 2008, IM PAN, Warszawa 2008.see in PBN
- Piotr Mucha, Stability of 2D incompressible flows in R^3, Journal Of Differential Equations 245 2008, p. 2355–2367.see in PBN
2007
- Piotr Mucha, On lifespan of solutions to the Einstein equations, Topological Methods In Nonlinear Analysis 29 2007, p. 181–198.see in PBN
- Piotr Mucha, On weak solutions to the Stefan problem with Gibbs-Thomson Correction, Differential And Integral Equations 20 2007, p. 769–792.see in PBN
- Piotr Mucha, Limit of kinetic term for a Stefan problem, Discrete And Continuous Dynamical Systems 2007, p. 741–750.see in PBN
- Piotr Mucha and Piotr Rybka, A new look at equilibrium in Stefan-type problems in the plane, Siam Journal On Mathematical Analysis 39 (4) 2007, p. 1120–1134.see in PBN
2006
- Piotr Mucha, Stefan problem in a 2Dcase, Colloquium Mathematicum 105 (1) 2006, p. 149–165.see in PBN
- Piotr Mucha and M Pokorny, On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations, Nonlinearity 19 2006, p. 1747–1768.see in PBN
- Piotr Mucha and Reimund Rautmann, Convergence of Rothe's scheme for the Navier-Stokes equations with slip conditions in 2D domains, Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik 86 (9) 2006, p. 691–701.see in PBN
- Paweł Konieczny and Piotr Mucha, On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows, International Journal Of Engineering Science 44 (11-12) 2006, p. 738–747.see in PBN
2005
- Piotr Mucha, On a problem for the Navier-Stokes equations with the infinite Dirichlet integral, Zeitschrift Fur Angewandte Mathematik Und Physik 56 2005, p. 439–452.see in PBN
- Piotr Mucha, On the Stefan problem with surface tension in the Lp framework, Advances In Differential Equations 10 (8) 2005, p. 861–900.see in PBN
- Piotr Mucha, Flux problem for a certain class of two-dimensional domains, Nonlinearity 18 2005, p. 1699–1704.see in PBN
- Piotr Mucha and Witold Sadowski, Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions, Mathematical Methods In The Applied Sciences 28 2005, p. 1867–1880.see in PBN
- Piotr Mucha, A Model of a Two-dimensional Pump, in: Progress in Nonlinear Differential Equations and Their Applications, Birkhauzer, Switzerland 2005.see in PBN
- Piotr Mucha, On a pump, Acta Applicandae Mathematicae 88 (2) 2005, p. 125–141.see in PBN
- Piotr Mucha, The Eulerian limit and the slip boundary conditions - admissible irregularity of the boundary, in: Regularity and others aspects of the Navier-Stokes equations, Banach Center Publications, Warszawa 2005.see in PBN
2004
- Piotr Mucha and Wojciech Zajączkowski, Global in time existence of solutions of the Dirichlet problem for compressible Navier-Stokes equations, Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik 84 (6) 2004, p. 417–424.see in PBN
- Piotr Mucha, On cylindrical symmetric flows through pipe-like domains, Journal Of Differential Equations 201 2004, p. 304–323.see in PBN
- Marta Lewicka and Piotr Mucha, On temporal asymptotics for the p`th power viscous reactive gas, Nonlinear Analysis-theory Methods & Applications 57 (7-8) 2004, p. 951–969.see in PBN
- Piotr Mucha, The Navier-Stokes equations and the maximum principle, International Mathematics Research Notices 67 2004, p. 3585–3605.see in PBN
- Piotr Mucha, On the structure of flows through pipe-like domains satisfying a geometrical constraint, Applicationes Mathematicae 31 (4) 2004, p. 457–471.see in PBN
2003
- Piotr Mucha, The Cauchy problem for the compressible Navier-Stokes equations in the Lp-framework., Nonlinear Analysis-theory Methods & Applications 52 (4) 2003, p. 1379–1392.see in PBN
- Piotr Mucha, On Navier-Stokes equations with slip boundary conditions in an infinite pipe, Acta Applicandae Mathematicae 76 2003, p. 1–15.see in PBN
- Piotr Mucha, Asymptotic behavior of a steady flow in a two-dimensional, Studia Mathematica 158 (1) 2003, p. 39–58.see in PBN
- Piotr Mucha, On the inviscid limit of the Navier- Stokes equations for flows large flux, Nonlinearity 16 (5) 2003, p. 1715–1732.see in PBN
2001
- Piotr Mucha, On an estimate for the linearized compressible Navier-Stokes equations in the Lp-framework., Colloquium Mathematicum 87 (2) 2001, p. 156–169.see in PBN
- Piotr Mucha, Stability of nontrivial solutions of the Navier-Stokes system on the three dimensional torus., Journal Of Differential Equations 172 (2) 2001, p. 359–375.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 7 (1) 2001, p. 61–79.see in PBN
- Piotr Mucha, Compressible Navier-Stokes system in 1-D., Mathematical Methods In The Applied Sciences 24 2001, p. 607–622.see in PBN
- Piotr Mucha, Stability of constant solutions to the Navier-Stokes system in R3., Applicationes Mathematicae 28 (3) 2001, p. 301–310.see in PBN
- Piotr Mucha, The compressible Navier-Stokes equations., in: Mathematical Aspects of Modelling Structure Formation Phenomena, GAKUTO International Series Math. Scien. and Applications, Japonia 2001.see in PBN
2000
- Piotr Mucha and Wojciech Zajączkowski, On local existence of solutions of free boundary problem for incompressible viscours self-gravitating fluid motion, Applicationes Mathematicae 27 (3) 2000, p. 319–333.see in PBN
- Piotr Mucha and Wojciech Zajączkowski, On the existence for the Cauchy-Neumann problem for the Stokes system in the Lp-Framework, Studia Mathematica 143 (1) 2000, p. 75–101.see in PBN
- Piotr Mucha, Global existence of solutions of Einstein-Boltzmann equations in spatially homogeneous case.s, in: Evolution equations: existence, regularity and singularities, Banach Center Publications., Warszawa 2000.see in PBN
- Piotr Mucha, Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case, Banach Center Publications 52 2000, p. 175–180.see in PBN
- Piotr Mucha and Wojciech Zajączkowski, On the existence for the Cauchy-Neumann problem for the Stokes system in the $L_p$-framework, Studia Mathematica 143 2000, p. 75–101.see in PBN
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