A note on weak solutions of conservation laws and energy/entropy conservation, (with Piotr Gwiazda and Martin Michálek), Arch. Ration. Mech. Anal.,
229 (2018) 1223–1238,
arxiv.1706.10154
Existence of global weak solutions to the kinetic Peterlin model
(with Piotr Gwiazda, Mária Lukáčová-Medviďová, Hana Mizerová),
Nonlinear Anal. Real World Appl. 44 (2018) 465–478,
arXiv:1707.02783
Weak solutions for Euler systems with non-local interactions, (with J.A. Carrillo, E. Feireisl and P. Gwiazda),
J. Lond. Math. Soc., (2) 95 (2017) 705–724
arXiv:1512.03116
Regularity and Energy Conservation for the Compressible Euler Equations (with E. Feireisl, P. Gwiazda and E. Wiedemann), Arch. Ration. Mech. Anal., 223 (2017), no. 3, 1375–1395
arXiv:1603.05051
High-temperature viscous flows. A case of pudding model (with P.B. Mucha), Nonlinear Anal. 151, 109–125, 2017,
arXiv:1601.08047
On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown (with Miroslav Bulicek and Piotr Gwiazda), J. Differ. Equations , 262, no. 1, 313–364, 2017,
arXiv:1606.06500
Dissipative measure-valued solutions to the compressible
Navier-Stokes system (with E. Feireisl, P. Gwiazda and E. Wiedemann),
Calc. Var. Partial Differential Equations , 55, no. 6, 55:141, 2016,
arXiv:1512.04852
Transport equation with integral terms (with C. De Lellis and P. Gwiazda),
Calc. Var. Partial Differential Equations 55: 128, 2016,
arXiv:1602.03193
Analysis of a viscosity model for concentrated polymers, (with Miroslav Bulicek, Piotr Gwiazda and Endre Süli),
Math. Models
Methods Appl. Sci, Vol. 26, No. 8, 1599–1648, 2016, arXiv:1501.05766
On weak solutions to the 2D Savage-Hutter model of the motion of a gravity driven avalanche flow, (with Eduard Feireisl and Piotr Gwiazda),
Comm. Partial Differential Equations, , Volume 41, Issue 5, 759-773, 2016, arXiv:1502.06223
Weak-Strong Uniqueness for Measure-Valued Solutions of Some Compressible Fluid Models, (with Piotr Gwiazda and Emil Wiedemann), Nonlinearity 28 (2015) 3873–3890, arXiv:1503.05246
Thermo-visco-elasticity for Norton-Hoff-type models, (with Filip Klawe and Piotr Gwiazda),
Nonlinear Anal. Real World Appl. , Vol. 26, 199-228, 2015, arXiv:1404.1671
Multi-dimensional scalar balance laws with discontinuous flux, (with Piotr Gwiazda, Petra Wittbold and Aleksandra Zimmermann), J. Funct. Anal. 267, no. 8, 2846–2883, 2014, arXiv:1404.2036
Generalized Stokes system in Orlicz spaces (with Piotr Gwiazda and Aneta Wróblewska),
Discrete Contin.
Dyn. Syst. Ser. A Vol. 32 (6), 2125–2146, 2012
On unsteady flows of implicitly constituted incompressible fluids
(with Miroslav Bulicek, Piotr Gwiazda and Josef Malek), SIAM J. Math. Anal. Vol. 44 (4), 2756 - 2801, 2012
PDF
On scalar hyperbolic laws with discontinuous flux (with Miroslav Bulicek, Piotr Gwiazda and Josef Malek),
Math. Models
Methods Appl. Sci. Vol. 21 , No. 1, 2011
Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids (with Piotr Gwiazda and Aneta Wróblewska),
Math. Methods Appl. Sci. Vol. 33 No. 2, 125 - 248, 2010,
On steady flows of an incompressible fluids with implicit
power-law-like rheology (with Miroslav Bulicek, Piotr Gwiazda and
Josef Málek), Adv. Calc. Var. 2, No. 2, 109-136, 2009
On steady non-Newtonian flows with
growth conditions in generalized Orlicz spaces (with Piotr
Gwiazda), Topol. Methods Nonlinear Anal. 32, No. 1, 103–-114, 2008
PDF
On flows of an
incompressible fluid with discontinuous power-law-like rheology
Comput. Math. Appl.53, 531--546, 2007 (with Piotr Gwiazda
and Josef Málek)
Regularity and
uniqueness for the stationary Large Eddy Simulation model.
Appl. Math, 51, No. 6, 629--641, 2006
A dynamical approach to Large Eddy
Simulation of turbulent flows: existence of weak solutions.
Math. Methods Appl. Sci.28, No. 18 , 2005
Multivalued equations for granular avalanches,
Nonlinear Anal., Theory Methods Appl.62, No.5 (A), 895-912, 2005
(with Piotr Gwiazda).
Large Eddy
Simulation turbulence model with Young measures, Appl. Math.
Lett. 18 923-929, 2005 (with Piotr Gwiazda).
Large Eddy Simulation. Existence of stationary solutions to
a dynamical model, ZAMM Z. Angew. Math. Mech., 85, No.8, 593-604, 2005.
An L^1-stability and uniqueness result for balance laws
with multifunctions: a model from the theory of granular media
Colloq. Math., 100 (2), 149-162, 2004 (with Piotr Gwiazda).
Proceedings
Relative entropy method for measure-valued solutions in natural sciences
(with Tomasz Dębiec, Piotr Gwiazda and Kamila Łyczek), to appear in Topol. Methods Nonlinear Anal. ,
arXiv:1709.01410
Thermoplasticity for the Mróz's model in the framework of thermodynamically complete systems, Discrete Contin.
Dyn. Syst. Ser. S Vol. 7(5), 981-991, 2014 (with Filip Klawe and Piotr Gwiazda).
On the anisotropic Orlicz spaces applied in the problems of continuum mechanics (with Piotr Gwiazda and Piotr
Minakowski), Discrete Contin.
Dyn. Syst. Ser. S Vol. 6(5), 1291-1306, 2013.
On flows of fluids described by an implicit
constitutive equation characterized by a
maximal monotone graph (with Miroslav Bulicek, Piotr Gwiazda, Josef Malek and K.R. Rajagopal),
Mathematical Aspects of Fluid Mechanics, London Math. Soc. Lecture Note Ser.
402, 23-51, Cambridge Univ. Press, 2012.
Parabolic equations in anisotropic Orlicz spaces with general N-functions (with
Piotr Gwiazda), special Birkhaeuser
volume ”Parabolic Problems. The Herbert Amann Festschrift”, Progress in Nonlinear
Differential Equations and Their Applications, Vol. 60, 301–311, 2010
Turbulent flows of rapidly thickening fluids (with Piotr Gwiazda and Aneta Wróblewska),
Proceedings of Polish-Japanese Days. GAKUTO Vol. 32,
2010
Well-posedness for a class of non-Newtonian fluids with
general growth conditions (with Piotr Gwiazda, Andrzej Warzyński
and Aneta Wróblewska), Banach Center Publ. 86, 115-128, 2009
Others
Mathematical analysis of Large Eddy Simulation of turbulent flows,
Diss. TU Darmstadt, 88 pp., Shaker Verlag Aachen 2004, ISBN
3-8322-3583-3
Preprints
Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces, (with Miroslav Bulicek, Piotr Gwiazda and Martin Kalousek),
arxiv.1703.08355
A tribute to conservation of energy for weak solutions
(with Tomasz Dębiec, Piotr Gwiazda),
arXiv:1707.09794
Conservation of energy for the Euler-Korteweg equations
(with Tomasz Dębiec, Piotr Gwiazda and Anthanasios Tzavaras),
arXiv:1801.00177
Dissipative measure-valued solutions for general conservation laws
(with Piotr Gwiazda and Ondrej Kreml),
arXiv:1801.01030
Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces
(with Miroslav Bulicek, Piotr Gwiazda and Martin Kalousek),
arXiv:1801.07590
Differentiability in perturbation parameter of measure solutions to perturbed transport equation
(with Piotr Gwiazda, Sander C. Hille and Kamila Łyczek),
arXiv:1806.00357
On the Extension of Onsager's Conjecture for General Conservation Laws
(with Claude Bardos, Piotr Gwiazda, Edriss S. Titi and Emil Wiedemann),
arXiv:1806.02483
If you are interested in any of the papers which are not available for downloading on my webpage,
you can e-mail me: aswiercz (at) mimuw.edu.pl