Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
Publikacje
Piotr Mucha
2018
- Piotr B. Mucha i 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, s. 273–308.zobacz w PBN
- Jacek Cyranka, Piotr Mucha, Edriss S. Titi i 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, s. 18–29.zobacz w PBN
- Jacek Cyranka i Piotr Mucha, A construction of two different solutions to an elliptic system, Journal Of Mathematical Analysis And Applications 465 (1) 2018, s. 500–530.zobacz w PBN
- Piotr Mucha, Jan Peszek i Milan Pokorn\'y, Flocking particles in a non-Newtonian shear thickening fluid, Nonlinearity 31 (6) 2018, s. 2703–2725.zobacz w PBN
- \vSimon Axmann, Piotr Mucha i Milan Pokorn\'y, Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid, Topological Methods In Nonlinear Analysis 52 (1) 2018, s. 259–283.zobacz w PBN
2017
- Piotr Mucha i Agnieszka Świerczewska-Gwiazda, High-temperature viscous flows. A case of pudding model, Nonlinear Analysis-theory Methods & Applications 151 2017, s. 109–125.zobacz w PBN
- Michał Łasica, Salvador Moll i Piotr Mucha, Total Variation Denoising in l1 Anisotropy, Siam Journal On Imaging Sciences 10 (4) 2017, s. 1691–1723.zobacz w PBN
- Jos\'e A. Carrillo, Young-Pil Choi, Piotr B. Mucha i Jan Peszek, Sharp conditions to avoid collisions in singular Cucker-Smale interactions, Nonlinear Analysis-real World Applications 37 2017, s. 317–328.zobacz w PBN
- Rapha\"el Danchin i Piotr Bogusław Mucha, Compressible Navier-Stokes system: large solutions and incompressible limit, Advances In Mathematics 320 2017, s. 904–925.zobacz w PBN
- \v Simon Axmann, Piotr Bogusław Mucha i Milan Pokorn\'y, Steady solutions to viscous shallow water equations. The case of heavy water, Communications In Mathematical Sciences 15 (5) 2017, s. 1385–1402.zobacz w PBN
2016
- Piotr B. Mucha, Milan Pokorny i Ewelina Zatorska (red.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing, 2016.zobacz w PBN
- \v Simon Axmann i Piotr Bogus\l aw Mucha, Decently regular steady solutions to the compressible NSAC system, Topological Methods In Nonlinear Analysis 48 (1) 2016, s. 131–157.zobacz w PBN
- Marta Lewicka i Piotr B. Mucha, A local and global well-posedness results for the general stress-assisted diffusion systems, Journal Of Elasticity 123 (1) 2016, s. 19–41.zobacz w PBN
- David Maltese, Martin Mich\'alek, Piotr B. Mucha, Antonin Novotn\'y, Milan Pokorn\'y i Ewelina Zatorska, Existence of weak solutions for compressible Navier-Stokes equations with entropy transport, Journal Of Differential Equations 261 (8) 2016, s. 4448–4485.zobacz w PBN
2015
- Raphaël Danchin i Piotr Bogusław Mucha, Critical Functional Framework and Maximal Regularity in Action on Systems of Incompressible Flows, Société Mathématique de France, 2015.zobacz w PBN
- Piotr Mucha, Monika Muszkieta i Piotr Rybka, Two cases of squares evolving by anisotropic diffusion, Advances In Differential Equations 20 2015, s. 773–800.zobacz w PBN
- Piotr Mucha i Piotr Rybka, Models of sudden directional diffusion, w: Variational Methods for Evolving Objects, World Scientific, 2015, s. 225–244.zobacz w PBN
- Ewelina Zatorska i Piotr Mucha, Multicomponent mixture model: the issue of existence via time discretization, Communications In Mathematical Sciences 13 (8) 2015, s. 1975–2003.zobacz w PBN
- Piotr Mucha, Milan Pokorn\'y i Ewelina Zatorska, Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution, Siam Journal On Mathematical Analysis 47 (5) 2015, s. 3747–3797.zobacz w PBN
- Rapha\"el Danchin i Piotr Mucha, Critical functional framework and maximal regularity in action on systems of incompressible flows, Mémoires De La Société Mathématique De France (143) 2015, s. vi+151.zobacz w PBN
2014
- Piotr Mucha, Milan Pokorny i Ewelina Zatorska, Approximate solutions to model of o two-components reactive flow, Discrete And Continuous Dynamical Systems Seria S 7 (5) 2014, s. 1079–1099.zobacz w PBN
- Piotr B. Mucha i Tomasz Piasecki, Compressible perturbation of Poiseuille type flow, Journal De Mathematiques Pures Et Appliquees 102 (2) 2014, s. 338–363.zobacz w PBN
- Malte Braack i Piotr Mucha, Directional do-nothing condition for the Navier-Stokes equations, Journal Of Computational Mathematics 32 (5) 2014, s. 507–521.zobacz w PBN
- Piotr Mucha i Milan Pokorn\'y, The rot-div system in exterior domains, Journal Of Mathematical Fluid Mechanics 16 (4) 2014, s. 701–720.zobacz w PBN
- Piotr Mucha, Stagnation, creation, breaking, Advances In Mathematical Sciences And Applications 24 (2) 2014, s. 223–235.zobacz w PBN
2013
- Piotr Mucha i Raphael Danchin, New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications, w: Studies in Phase Space Analysis with Applications to PDEs, Springer Science+Business Media, New York 2013.zobacz w PBN
- Piotr Mucha i Raphael Danchin, Divergence, Discrete And Continuous Dynamical Systems 6 (5) 2013, s. 1163–1172.zobacz w PBN
- Piotr Mucha i Piotr Rybka, Well-posedness of sudden directional diffusion equations, Mathematical Methods In The Applied Sciences 36 2013, s. 2359–2370.zobacz w PBN
- Marta Lewicka i Piotr Mucha, A local existence result for a system of viscoelasticity with physical viscosity, Evolution Equations And Control Theory (eect) 2 (2) 2013, s. 337–358.zobacz w PBN
- Raphael Danchin i Piotr Mucha, Incompressible Flows with Piecewise Constant Density, Archive For Rational Mechanics And Analysis 207 2013, s. 991–1023.zobacz w PBN
- Karolina Kielak, Piotr Mucha i Piotr Rybka, Almost classical solutions to the total variation flow, Journal Of Evolution Equations 13 2013, s. 21–49.zobacz w PBN
- Piotr Mucha, Milan Pokorny i Ewelina Zatorska, Chemically reacting mixtures in terms of degenerated parabolic setting, Journal Of Mathematical Physics 2013.zobacz w PBN
- Piotr Bogusław Mucha i Piotr Rybka, Well posedness of sudden directional diffusion equations, Mathematical Methods In The Applied Sciences 36 (17) 2013, s. 2359–2370.zobacz w PBN
- Rapha\"el Danchin i Piotr Bogusław Mucha, Divergence, Discrete Contin. Dyn. Syst. Ser. S 6 (5) 2013, s. 1163–1172.zobacz w PBN
2012
- Piotr Mucha i Piotr Rybka, A Note on a Model System with Sudden Directional Diffusion, Journal Of Statistical Physics 146 2012, s. 975–988.zobacz w PBN
- Piotr Mucha i Raphael Danchin, The divergence equation in rough spaces, Journal Of Mathematical Analysis And Applications 386 (1) 2012, s. 10–31.zobacz w PBN
- Piotr Mucha, Eduard Feireisl, Antonin Novotny i Milan Pokorny, Time-Periodic Solutions to the Full Navier-Stokes-Fourier System, Archive For Rational Mechanics And Analysis 204 2012, s. 745–786.zobacz w PBN
- Raphael Danchin i Piotr Mucha, A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density, Communications On Pure And Applied Mathematics LXV 2012, s. 1458–1480.zobacz w PBN
- Piotr Mucha, Regular solutions to a monodimensional model with discontinuous elliptic operator, Interfaces And Free Boundaries 14 2012, s. 145–152.zobacz w PBN
2011
- Paweł Konieczny i Piotr Mucha, Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane, Nonlinearity 24 2011, s. 1861–1882.zobacz w PBN
- Piotr Mucha, Jacek Escher, P. Guidotti, M. Hieber, J. Pruss, Y. Shibata, G. Simonett, C. Walker i W. Zajączkowski (red.), Parabolic Problems. The Herbert Amann Festschrift, Springer, Basel, Switzerland 2011.zobacz w PBN
2009
- Piotr Mucha, Marek Niezgódka i Piotr Rybka (red.), Nonlocal and Abstract Parabolic Equations and their Applications, Institute of Mathematics, Polish Academy of Science, Warszawa 2009.zobacz w PBN
- Piotr Mucha i Raphael Danchin, A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space, Journal Of Functional Analysis 256 2009, s. 881–927.zobacz w PBN
- Piotr Mucha i Milan Pokorny, On the Steady Compressible Navier-Stokes-Fourier System, Communications In Mathematical Physics 288 2009, s. 349–377.zobacz w PBN
- Piotr Rybka i Piotr Mucha, Almost classical solutions of static Stefan type problems involving crystalline curvature, w: Nonlocal and Abstract Parabolic Equations and their Applications, Institute of Mathematics, Polish Academy of Science, Warszawa 2009, s. 223–234.zobacz w PBN
- Piotr Mucha i Marta Lewicka, On the Existence of Traveling Waves in the 3D Boussinesq System, Communications In Mathematical Physics 292 2009, s. 417–429.zobacz w PBN
2008
- Piotr Mucha i Milan Pokorny, 3D steady compressible Navier-Stokes equations, Discrete And Continuous Dynamical Systems 1 (1) 2008, s. 151–163.zobacz w PBN
- Piotr Mucha i Walter Rusin, Zygmund spaces, inviscid limit and uniqueness of Euler flows, Communications In Mathematical Physics 280 (3) 2008, s. 831–841.zobacz w PBN
- Piotr Mucha i Olivier Glass, Inviscid limit for the 2D stationary Euler system with arbitrary force in simply connected domain, Applicationes Mathematicae 35 (1) 2008, s. 49–67.zobacz w PBN
- Piotr Mucha i Piotr Rybka, A caricature of a singular flow in the plane, Nonlinearity 21 (10) 2008, s. 2281–2316.zobacz w PBN
- Piotr Mucha, Global solutions, structure of initial data and the Navier-Stokes equations, w: Parabolic and Navier-Stokes equations 2008, IM PAN, Warszawa 2008.zobacz w PBN
- Piotr Mucha, Stability of 2D incompressible flows in R^3, Journal Of Differential Equations 245 2008, s. 2355–2367.zobacz w PBN
2007
- Piotr Mucha, On lifespan of solutions to the Einstein equations, Topological Methods In Nonlinear Analysis 29 2007, s. 181–198.zobacz w PBN
- Piotr Mucha, On weak solutions to the Stefan problem with Gibbs-Thomson Correction, Differential And Integral Equations 20 2007, s. 769–792.zobacz w PBN
- Piotr Mucha, Limit of kinetic term for a Stefan problem, Discrete And Continuous Dynamical Systems 2007, s. 741–750.zobacz w PBN
- Piotr Mucha i Piotr Rybka, A new look at equilibrium in Stefan-type problems in the plane, Siam Journal On Mathematical Analysis 39 (4) 2007, s. 1120–1134.zobacz w PBN
2006
- Piotr Mucha, Stefan problem in a 2Dcase, Colloquium Mathematicum 105 (1) 2006, s. 149–165.zobacz w PBN
- Piotr Mucha i M Pokorny, On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations, Nonlinearity 19 2006, s. 1747–1768.zobacz w PBN
- Piotr Mucha i 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, s. 691–701.zobacz w PBN
- Paweł Konieczny i Piotr Mucha, On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows, International Journal Of Engineering Science 44 (11-12) 2006, s. 738–747.zobacz w 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, s. 439–452.zobacz w PBN
- Piotr Mucha, On the Stefan problem with surface tension in the Lp framework, Advances In Differential Equations 10 (8) 2005, s. 861–900.zobacz w PBN
- Piotr Mucha, Flux problem for a certain class of two-dimensional domains, Nonlinearity 18 2005, s. 1699–1704.zobacz w PBN
- Piotr Mucha i Witold Sadowski, Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions, Mathematical Methods In The Applied Sciences 28 2005, s. 1867–1880.zobacz w PBN
- Piotr Mucha, A Model of a Two-dimensional Pump, w: Progress in Nonlinear Differential Equations and Their Applications, Birkhauzer, Switzerland 2005.zobacz w PBN
- Piotr Mucha, On a pump, Acta Applicandae Mathematicae 88 (2) 2005, s. 125–141.zobacz w PBN
- Piotr Mucha, The Eulerian limit and the slip boundary conditions - admissible irregularity of the boundary, w: Regularity and others aspects of the Navier-Stokes equations, Banach Center Publications, Warszawa 2005.zobacz w PBN
2004
- Piotr Mucha i 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, s. 417–424.zobacz w PBN
- Piotr Mucha, On cylindrical symmetric flows through pipe-like domains, Journal Of Differential Equations 201 2004, s. 304–323.zobacz w PBN
- Marta Lewicka i Piotr Mucha, On temporal asymptotics for the p`th power viscous reactive gas, Nonlinear Analysis-theory Methods & Applications 57 (7-8) 2004, s. 951–969.zobacz w PBN
- Piotr Mucha, The Navier-Stokes equations and the maximum principle, International Mathematics Research Notices 67 2004, s. 3585–3605.zobacz w PBN
- Piotr Mucha, On the structure of flows through pipe-like domains satisfying a geometrical constraint, Applicationes Mathematicae 31 (4) 2004, s. 457–471.zobacz w 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, s. 1379–1392.zobacz w PBN
- Piotr Mucha, On Navier-Stokes equations with slip boundary conditions in an infinite pipe, Acta Applicandae Mathematicae 76 2003, s. 1–15.zobacz w PBN
- Piotr Mucha, Asymptotic behavior of a steady flow in a two-dimensional, Studia Mathematica 158 (1) 2003, s. 39–58.zobacz w PBN
- Piotr Mucha, On the inviscid limit of the Navier- Stokes equations for flows large flux, Nonlinearity 16 (5) 2003, s. 1715–1732.zobacz w PBN
2001
- Piotr Mucha, On an estimate for the linearized compressible Navier-Stokes equations in the Lp-framework., Colloquium Mathematicum 87 (2) 2001, s. 156–169.zobacz w PBN
- Piotr Mucha, Stability of nontrivial solutions of the Navier-Stokes system on the three dimensional torus., Journal Of Differential Equations 172 (2) 2001, s. 359–375.zobacz w 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, s. 61–79.zobacz w PBN
- Piotr Mucha, Compressible Navier-Stokes system in 1-D., Mathematical Methods In The Applied Sciences 24 2001, s. 607–622.zobacz w PBN
- Piotr Mucha, Stability of constant solutions to the Navier-Stokes system in R3., Applicationes Mathematicae 28 (3) 2001, s. 301–310.zobacz w PBN
- Piotr Mucha, The compressible Navier-Stokes equations., w: Mathematical Aspects of Modelling Structure Formation Phenomena, GAKUTO International Series Math. Scien. and Applications, Japonia 2001.zobacz w PBN
2000
- Piotr Mucha i Wojciech Zajączkowski, On local existence of solutions of free boundary problem for incompressible viscours self-gravitating fluid motion, Applicationes Mathematicae 27 (3) 2000, s. 319–333.zobacz w PBN
- Piotr Mucha i Wojciech Zajączkowski, On the existence for the Cauchy-Neumann problem for the Stokes system in the Lp-Framework, Studia Mathematica 143 (1) 2000, s. 75–101.zobacz w PBN
- Piotr Mucha, Global existence of solutions of Einstein-Boltzmann equations in spatially homogeneous case.s, w: Evolution equations: existence, regularity and singularities, Banach Center Publications., Warszawa 2000.zobacz w PBN
- Piotr Mucha, Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case, Banach Center Publications 52 2000, s. 175–180.zobacz w PBN
- Piotr Mucha i Wojciech Zajączkowski, On the existence for the Cauchy-Neumann problem for the Stokes system in the $L_p$-framework, Studia Mathematica 143 2000, s. 75–101.zobacz w PBN