List of Publications
Peer reviewed journals

Dissipative measurevalued solutions for general conservation laws
(with Piotr Gwiazda and Ondrej Kreml), to appear in Ann. Inst. H. Poincaré Anal. Non Linéaire,
arXiv:1801.01030

Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces
(with Miroslav Bulicek, Piotr Gwiazda and Martin Kalousek), to appear in Nonlinear Anal.,
arXiv:1801.07590

Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws
(with Claude Bardos, Piotr Gwiazda, Edriss S. Titi and Emil Wiedemann), Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. Volume 475, Issue 2230, 2019
arXiv:1902.07120

A two species hyperbolicparabolic model of tissue growth
(with Piotr Gwiazda and Benoît Perthame), Comm. Partial Differential Equations, 44(12): 16041618, 2019,
arXiv:1809.01867

Differentiability in perturbation parameter of measure solutions to perturbed transport equation,
(with Piotr Gwiazda, Sander C. Hille and Kamila Łyczek), Kinet. Rel. Models, 2019, 12(5): 10931108,
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), J Nonlinear Sci
29 (2) 2019, s. 501–510,
arXiv:1806.02483

Homogenization of nonlinear elliptic systems in nonreflexive MusielakOrlicz spaces, (with Miroslav Bulicek, Piotr Gwiazda and Martin Kalousek), Nonlinearity 32 (2019), 10731110,
arxiv.1703.08355

Conservation of energy for the EulerKorteweg equations
(with Tomasz Dębiec, Piotr Gwiazda and Anthanasios Tzavaras), Calc. Var. Partial Differential Equations 57: 160, (2018),
arXiv:1801.00177

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 LukáčováMedviďová, Hana Mizerová),
Nonlinear Anal. Real World Appl. 44 (2018) 465–478,
arXiv:1707.02783

Weak solutions for Euler systems with nonlocal 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

Hightemperature 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 measurevalued solutions to the compressible
NavierStokes 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 SavageHutter model of the motion of a gravity driven avalanche flow, (with Eduard Feireisl and Piotr Gwiazda),
Comm. Partial Differential Equations, , Volume 41, Issue 5, 759773, 2016, arXiv:1502.06223

WeakStrong Uniqueness for MeasureValued Solutions of Some Compressible Fluid Models, (with Piotr Gwiazda and Emil Wiedemann), Nonlinearity 28 (2015) 3873–3890, arXiv:1503.05246

Thermoviscoelasticity for NortonHofftype models, (with Filip Klawe and Piotr Gwiazda),
Nonlinear Anal. Real World Appl. , Vol. 26, 199228, 2015, arXiv:1404.1671
 Multidimensional 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
 Nonlinear parabolic problems in MusielakOrlicz spaces,
Nonlinear Anal. 98, 4865, 2014 arXiv:1306.2186
 Anisotropic parabolic problems with slowly or rapidly growing terms,
Colloq. Math, Vol. 134, No 1, 113130, 2014
arXiv:1307.2337

Multidimensional scalar conservation laws with fluxes discontinuous in the unknown and the spatial variable
(with Miroslav Bulicek and Piotr Gwiazda), Math. Models
Methods Appl. Sci. Vol. 23 (3), 407–439, 2013
Electronic version of an article published as
[Math. Models
Methods Appl. Sci., Volume 23, No 3, 2013, 407439] [Article DOI:10.1142/S0218202512500510 ] © [copyright World Scientific Publishing Company]
[http://www.worldscientific.com/worldscinet/m3as]

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 nonNewtonian 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
powerlawlike rheology (with Miroslav Bulicek, Piotr Gwiazda and
Josef Málek), Adv. Calc. Var. 2, No. 2, 109136, 2009
 On steady nonNewtonian flows with
growth conditions in generalized Orlicz spaces (with Piotr
Gwiazda), Topol. Methods Nonlinear Anal. 32, No. 1, 103–114, 2008
PDF
 On nonNewtonian fluids with the property of rapid
thickening, (with Piotr Gwiazda), Math. Models
Methods Appl. Sci. 18, No. 7,
10731092, 2008
Electronic version of an article published as
[Math. Models
Methods Appl. Sci., Volume 18, No 7, 2008, 10731092]
[Article DOI:10.1142/S021820251100499X]
© [copyright World Scientific Publishing Company]
[http://www.worldscientific.com/worldscinet/m3as]
 On flows of an
incompressible fluid with discontinuous powerlawlike rheology
Comput. Math. Appl. 53, 531546, 2007 (with Piotr Gwiazda
and Josef Málek)
 Regularity and
uniqueness for the stationary Large Eddy Simulation model.
Appl. Math, 51, No. 6, 629641, 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), 895912, 2005
(with Piotr Gwiazda).
 Large Eddy
Simulation turbulence model with Young measures, Appl. Math.
Lett. 18 923929, 2005 (with Piotr Gwiazda).
 Large Eddy Simulation. Existence of stationary solutions to
a dynamical model, ZAMM Z. Angew. Math. Mech., 85, No.8, 593604, 2005.
 An L^1stability and uniqueness result for balance laws
with multifunctions: a model from the theory of granular media
Colloq. Math., 100 (2), 149162, 2004 (with Piotr Gwiazda).
Proceedings

Relative entropy method for measurevalued solutions in natural sciences
(with Tomasz Dębiec, Piotr Gwiazda and Kamila Łyczek), Topol. Methods Nonlinear Anal. 52(1), 311335, 2018
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), 981991, 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), 12911306, 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, 2351, Cambridge Univ. Press, 2012.
 Parabolic equations in anisotropic Orlicz spaces with general Nfunctions (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 PolishJapanese Days. GAKUTO Vol. 32,
2010
 Wellposedness for a class of nonNewtonian fluids with
general growth conditions (with Piotr Gwiazda, Andrzej Warzyński
and Aneta Wróblewska), Banach Center Publ. 86, 115128, 2009
Others
 Mathematical analysis of Large Eddy Simulation of turbulent flows,
Diss. TU Darmstadt, 88 pp., Shaker Verlag Aachen 2004, ISBN
3832235833
Preprints

A tribute to conservation of energy for weak solutions
(with Tomasz Dębiec, Piotr Gwiazda),
arXiv:1707.09794
If you are interested in any of the papers which are not available for downloading on my webpage,
you can email me: aswiercz (at) mimuw.edu.pl
My citation list at
Google Scholar