Homepage of

Agnieszka Świerczewska-Gwiazda

- Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces (with I. Chlebicka, P. Gwiazda, A. Wróblewska-Kamińska), Springer Monographs in Mathematics, 2021 Link
- Measure-Valued Solutions for Time-Dependent Partial Differential Equations (with T. Dębiec, P. Gwiazda, E. Wiedemann), in preparation, accepted for Oxford University Press
- Cahn-Hillard and Keller-Segel systems as high-friction limits of Euler-Korteweg and Euler-Poisson equations (with Dennis Gallenmüller, Piotr Gwiazda, Jakub Woźnicki),
*Calc. Var. Partial Differential Equations**, 63 (2024), no. 2, 47. arXiv:2304.04050* -
Dissipative measure-valued solutions to the Euler-Poisson equation
(with J.A. Carrillo, T. Dębiec and P. Gwiazda),
*SIAM J. Math. Anal.**, 56, no. 1, 304–335, 2024, arXiv:2109.07536* -
Time periodic motion of temperature driven compressible fluids (with Eduard Feireisl and Piotr Gwiazda),
*Math. Annalen*, 387, no. 3-4, 1603–1627, 2023, Open Access -
The Rayleigh-Bénard problem for compressible fluid flows (with Eduard Feireisl),
*Arch. Ration. Mech. Anal.*247 no. 1, Paper No. 9, 31 pp., 2023, Open Access - Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions (with Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon),
*J. Math. Fluid Mech.*25, no. 4, 84, 2023, Open Access -
Dissipative measure-valued solutions for general conservation laws
(with Piotr Gwiazda and Ondrej Kreml),
*Ann. Inst. H. Poincaré Anal. Non Linéaire*, no. 3, 683–707, 2020, arXiv:1801.01030 -
Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces
(with Miroslav Bulicek, Piotr Gwiazda and Martin Kalousek),
*Nonlinear Anal.*, 194, 111487, 34 pp, 2020, 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 hyperbolic-parabolic model of tissue growth
(with Piotr Gwiazda and Benoît Perthame),
*Comm. Partial Differential Equations,*44(12): 1604-1618, 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): 1093-1108, 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 Musielak-Orlicz spaces, (with Miroslav Bulicek, Piotr Gwiazda and Martin Kalousek),
*Nonlinearity*32 (2019), 1073-1110, arxiv.1703.08355 -
Conservation of energy for the Euler-Korteweg equations
(with Tomasz Dębiec, Piotr Gwiazda and Anthanasios Tzavaras),
*Calc. Var. Partial Differential Equations*57: 160, (2018), Open Access -
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 - Nonlinear parabolic problems in Musielak-Orlicz spaces,
*Nonlinear Anal.*98, 48-65, 2014 arXiv:1306.2186 - Anisotropic parabolic problems with slowly or rapidly growing terms,
*Colloq. Math,*Vol. 134, No 1, 113-130, 2014 arXiv:1307.2337 -
Multi-dimensional 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, 407-439] [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 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 non-Newtonian fluids with the property of rapid thickening, (with Piotr Gwiazda),**Math. Models Methods Appl. Sci.***18**, No. 7, 1073--1092, 2008*Electronic version of an article published as [Math. Models Methods Appl. Sci., Volume 18, No 7, 2008, 1073-1092] [Article DOI:10.1142/S021820251100499X] © [copyright World Scientific Publishing Company] [http://www.worldscientific.com/worldscinet/m3as]*- 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). -
Relative entropy method for measure-valued solutions in natural sciences
(with Tomasz Dębiec, Piotr Gwiazda and Kamila Łyczek),
*Topol. Methods Nonlinear Anal.*52(1), 311-335, 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), 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 - Mathematical analysis of Large Eddy Simulation of turbulent flows, Diss. TU Darmstadt, 88 pp., Shaker Verlag Aachen 2004, ISBN 3-8322-3583-3
- A tribute to conservation of energy for weak solutions (with Tomasz Dębiec, Piotr Gwiazda), arXiv:1707.09794
- From nonlocal Euler-Korteweg to local Cahn-Hilliard via the high-friction limit (with Charles Elbar, Piotr Gwiazda, Jakub Skrzeczkowski), arXiv:2305.01348
- On the high friction limit for the complete Euler system (with Eduard Feireisl, Piotr Gwiazda, Young-Sam Kwon) preprint

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