Spis publikacji

2012
• A Lagrangian approach for the incompressible Navier-Stokes equations with variable density. (with Raphael Danchin) Comm. Pure Appl. Math. 65 (2012), no. 10, 1458--1480. PDF
• Time-periodic solutions to the full Navier-Stokes-Fourier system. (with Eduard Feireisl, Antonin Novotny, Milan Pokorny) Arch. Ration. Mech. Anal. 204 (2012), no. 3, 745--786. PDF
• Regular solutions to a monodimensional model with discontinuous elliptic operator. Interfaces Free Bound. 14 (2012), no. 2, 145--152. PDF
• A note on a model system with sudden directional diffusion. (with Piotr Rybka) J. Stat. Phys. 146 (2012), no. 5, 975--988. PDF
• The divergence equation in rough spaces. (with Raphael Danchin) J. Math. Anal. Appl. 386 (2012), no. 1, 9--31. PDF
2011
• Directional approach to spatial structure of solutions to the Navier-Stokes equations in the plane. (with Pawel Konieczny) Nonlinearity 24 (2011), no. 6, 1861--1882. PDF
2010
• Transport equation: extension of classical results for div b in BMO. J. Differential Equations 249 (2010), no. 8, 1871--1883. PDF
• Weak solutions to equations of steady compressible heat conducting fluids. (with Milan Pokorny) Math. Models Methods Appl. Sci. 20 (2010), no. 5, 785--813. PDF
• The surface diffusion flow on rough phase spaces. (with Joachim Escher) Discrete Contin. Dyn. Syst. 26 (2010), no. 2, 431--453. PDF
2009
• Probleme de Stokes et systeme de Navier-Stokes incompressible a densite variable dans le demi-espace. (French) [Stokes problem and incompressible Navier-Stokes system with variable density in the half-space] (with Raphael Danchin) Seminaire: Equations aux Derivees Partielles. 2008-2009, Exp. No. X, 19 pp., Semin. Equ. Deriv. Partielles, Ecole Polytech. PDF
• On the existence of traveling waves in the 3D Boussinesq system. (with Marta Lewicka) Comm. Math. Phys. 292 (2009), no. 2, 417--429. PDF
• On the steady compressible Navier-Stokes-Fourier system. (with Milan Pokorny) Comm. Math. Phys. 288 (2009), no. 1, 349--377. PDF
• Almost classical solutions of static Stefan type problems involving crystalline curvature. (with Piotr Rybka) Nonlocal and abstract parabolic equations and their applications, 223--234, Banach Center Publ., 86, Polish Acad. Sci. Inst. Math., Warsaw, 2009. PDF
• A critical functional framework for the inhomogenous Navier-Stokes equations in the half-space. (with Rapheal Danchin) J. Functional Analysis 256, No 3, 881-927 (2009). PDF
2008
• Stability of 2D incompressible flows in R^3. J. Differential Eqs 245, No 9, 2355-2367 (2008). PDF
• A caricature of a singular flow in the plane. (with Piotr Rybka) Nonlinearity 21, No 10, 2281-2316 (2008). PDF
• Global solutions, structure of initial data and the Navier-Stokes equations. Parabolic and Navier-Stokes equations, Banach Center Publications, Vol. 81, 277-286 (2008). PDF
• Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains. (with Olivier Glass) Appl. Math. (Warsaw) 35 (2008), no. 1, 49--67. PDF
• Zygmund spaces, inviscid limit and uniqueness of Euler flows. (with Walter Rusin) Commun. Math. Phys. 280, No. 3, 831-841 (2008). PDF
• 3D steady compressible Navier-Stokes equations. (with Milan Pokorny) Discrete and Continuous Dynamical Systems S 1, No. 1, 151-163 (2008). PDF
2007
• A new look at equilibria in Stefan-type problems in the plane. (with Piotr Rybka) SIAM J. Math. Anal. 39 (2007), no. 4, 1120--1134. PDF
• Limit of kinetic term for a Stefan problem. Discrete and Continuous Dynamical Systems. Supplement 2007, 741-750 (2007). PDF
• On weak solutions to the Stefan problem with Gibbs-Thomson correction. Differential Integral Equations 20 (2007), no. 7, 769--792. PDF
• On lifespan of solutions to the Einstein equations. Topol. Methods Nonlinear Anal. 29 (2007), no. 1, 181--198. PDF
2006
• On nonhomogeneous slip boundary conditions for 2D incompressible fluid flows. (with Pawel Konieczny) Internat. J. Engrg. Sci. 44 (2006), no. 11-12, 738--747. PDF
• Convergence of Rothe's scheme for the Navier-Stokes equations with slip conditions in 2D domains (with Reimund Rautmann) ZAMM Z. Angew. Math. Mech. 86 (2006), no. 9, 691--701. PDF
• On a new approach to the issue of existence and regularity for the steady compressible Navier-Stokes equations. (with Milan Pokorn\'y) Nonlinearity 19 (2006), no. 8, 1747--1768. PDF
• Stefan problem in a 2D case. Colloq. Math. 105 (2006), no. 1, 149--165. PDF
2005
• The Eulerian limit and the slip boundary conditions---admissible irregularity of the boundary. Regularity and other aspects of the Navier-Stokes equations, 169--183, Banach Center Publ., 70, Polish Acad. Sci., Warsaw, 2005. PDF
• Regularity and other aspects of the Navier-Stokes equations. Proceedings of the conference held in Bedlewo, August 31--September 6, 2003. Edited by Piotr Mucha, Patrick Penel, Michael Wiegner and Wojciech Zajaczkowski. Banach Center Publications, 70. Warsaw, 2005. 294 pp.
• On a pump. Acta Appl. Math. 88 (2005), no. 2, 125--141. PDF
• Long time behaviour of a flow in infinite pipe conforming to slip boundary conditions. (with Witold Sadowski) Math. Methods Appl. Sci. 28 (2005), no. 15, 1867--1880. PDF
• On the Stefan problem with surface tension in the $L\sb p$ framework. Adv. Differential Equations 10 (2005), no. 8, 861--900. PDF
• Flux problem for a certain class of two-dimensional domains. Nonlinearity 18 (2005), no. 4, 1699--1704. PDF
• On a problem for the Navier-Stokes equations with the infinite Dirichlet integral. Z. Angew. Math. Phys. 56 (2005), no. 3, 439--452. PDF
• A model of a two-dimensional pump. Trends in partial differential equations of mathematical physics, 187--195, Progr. Nonlinear Differential Equations Appl., 61, Birkhäuser, Basel, 2005. PDF
2004
• The Navier-Stokes equations and the maximum principle. Int. Math. Res. Not. 2004, no. 67, 3585--3605. PDF
• On the structure of flows through pipe-like domains satisfying a geometrical constraint. Appl. Math. (Warsaw) 31 (2004), no. 4, 457--471. PDF
• On temporal asymptotics for the $p$th power viscous reactive gas. (with Marta Lewicka) Nonlinear Anal. 57 (2004), no. 7-8, 951--969. PDF
• Global existence of solutions of the Dirichlet problem for the compressible Navier-Stokes equations. (with Wojciech Zajaczkowski) ZAMM Z. Angew. Math. Mech. 84 (2004), no. 6, 417--424. PDF
• On cylindrical symmetric flows through pipe-like domains. J. Differential Equations 201 (2004), no. 2, 304--323. PDF
2003
• Asymptotic behavior of a steady flow in a two-dimensional pipe. Studia Math. 158 (2003), no. 1, 39--58. PDF
• On the inviscid limit of the Navier-Stokes equations for flows with large flux. Nonlinearity 16 (2003), no. 5, 1715--1732. PDF
• On Navier-Stokes equations with slip boundary conditions in an infinite pipe. Acta Appl. Math. 76 (2003), no. 1, 1--15. PDF
• The Cauchy problem for the compressible Navier-Stokes equations in the $L\sb p$-framework. Nonlinear Anal. 52 (2003), no. 4, 1379--1392. PDF
2002
• On a $L\sb p$-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions. (with Wojciech Zajaczkowski) J. Differential Equations 186 (2002), no. 2, 377--393. PDF
• The compressible Navier-Stokes equations. Mathematical aspects of modelling structure formation phenomena (Bedlewo/Warsaw, 2000), 19--27, GAKUTO Internat. Ser. Math. Sci. Appl., 17, Gakkotosho, Tokyo, 2002.
• On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the $L\sb p$-framework. (with Wociech Zajaczkowski) Ann. Polon. Math. 78 (2002), no. 3, 241--260.
• On local-in-time existence for the Dirichlet problem for equations of compressible viscous fluids. (with Wojciech Zajaczkowski) Ann. Polon. Math. 78 (2002), no. 3, 227--239.
2001
• Stability of constant solutions to the Navier-Stokes system in $\Bbb R\sp 3$. Appl. Math. (Warsaw) 28 (2001), no. 3, 301--310.
• On almost global existence for the Cauchy problem for compressible Navier-Stokes equations in the $L\sb p$-framework. J. Appl. Anal. 7 (2001), no. 1, 61--79.
• Compressible Navier-Stokes system in 1-D. Math. Methods Appl. Sci. 24 (2001), no. 9, 607--622.
• Stability of nontrivial solutions of the Navier-Stokes system on the three dimensional torus. J. Differential Equations 172 (2001), no. 2, 359--375.
• On an estimate for the linearized compressible Navier-Stokes equations in the $L\sb p$-framework. Colloq. Math. 87 (2001), no. 2, 159--169.
2000
• On the existence for the Cauchy-Neumann problem for the Stokes system in the $L\sb p$-framework.(with Zajaczkowski, Wojciech) Studia Math. 143 (2000), no. 1, 75--101.
• On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion. (with Zajaczkowski, W.) Appl. Math. (Warsaw) 27 (2000), no. 3, 319--333.
1999
• Global existence of solutions of the Einstein-Boltzmann equation in the spatially homogeneous case. Evolution equations: existence, regularity and singularities (Warsaw, 1998), 175--180, Banach Center Publ., 52, Polish Acad. Sci., Warsaw, 2000.
• Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime. Comm. Math. Phys. 203 (1999), no. 1, 107--118.
1998
• Isothermic surfaces of $k$-th order. Nonlinearity & geometry (Warsaw, 1995), 341--347, PWN, Warsaw, 1998.
• The Cauchy problem for the Einstein-Boltzmann system. J. Appl. Anal. 4 (1998), no. 1, 129--141.
• The Cauchy problem for the Einstein-Vlasov system. J. Appl. Anal. 4 (1998), no. 1, 111--127.