I work in the field of Mathematical Fluid Mechanics, in particular, analysis of Partial Differential Equations describing the flow of compressible and incompressible (multicomponent) fluids. I am also interested in aggregationdiffusion equations modelling dynamical networks (of animals, polymers, etc.).
Journal Articles

Finite Volume approximations of the Euler system with variable congestion with P. Degond, P. Minakowski, and L. Navoret, accepted to Computers & Fluids (2017).

Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions with J. Barré, J. A. Carrillo, P. Degond, and D. Peurichard, to appear in Journal of Nonlinear Science (2017).

Incompressible limit of the NavierStokes model with growth term with N. Vauchelet, Nonlinear Analysis, Vol. 163, p. 3459 (2017).

Kinetic theory of particle interactions mediated by dynamical networks with J. Barré and P. Degond, to appear in Multiscale Modeling and Simulation, SIAM (2017).

On the pressureless damped EulerPoisson equations with nonlocal forces: Critical thresholds and largetime behavior with J. A. Carrillo and YP. Choi, Math. Models Methods Appl. Sci. Vol. 26, No. 12, pp. 23112340 (2016).
 Existence of weak solutions for compressible NavierStokes equations with entropy transport with D. Maltese, M. Michalek, P. B. Mucha, A. Novotný, and M. Pokorný, J. Differential Equations, 261, no. 8, 44484485 (2016).
 From the highly compressible NavierStokes equations to the Porous Medium equation  rate of convergence with B. Haspot, DCDSA, Vol.36, No. 6, 31073123 (2016).
 On singular limits arising in the scale analysis of stratified fluid flows with E. Feireisl, R. Klein, and A. Novotný, M3AS, Vol. 26, No. 3, 419443 (2016).
 Heatconducting, compressible mixtures with multicomponent diffusion: construction of a weak solution with P. B. Mucha and M. Pokorný, SIAM J. Math. Anal., 47(5), 3747–3797 (2015).
 On the steady flow of reactive gaseous mixture, with V. Giovangigli and M. Pokorný, Analysis (Berlin) 35, no. 4, 319341 (2015).
 Mixtures: sequential stability of variational entropy weak solutions, Journal of Mathematical Fluid Mechanics 17, no.3, 437461 (2015).
 Multicomponent Mixture Model. The Issue of Existence via Time Discretization, with P. B. Mucha, Communications in Mathematical Sciences, Vol. 13, No. 8, 1975–2003 (2015).
 Twovelocity hydrodynamics in fluid mechanics: Part I Well posedness for zero Mach number systems, with V. Giovangigli and D. Bresch, Journal de Mathématiques Pures et Appliquées (2015).
 Twovelocity hydrodynamics in fluid mechanics: Part II Existence of global κ–entropy solutions to the compressible NavierStokes systems with degenerate viscosities, with D. Bresch and B. Desjardins, Journal de Mathématiques Pures et Appliquées (2015).
 Free/Congested TwoPhase Model from Weak Solutions to MultiDimensional Compressible Navier–Stokes Equations, with Charlotte Perrin, Communications in Partial Differential Equations, 40: 1558–1589, (2015).
 Singular limit of the NavierStokes system leading to a free/congested zones twophase model with D. Bresch and C. Perrin, Comptes Rendus de l'Academie des Sciences  Series I  Mathematics, 352: 685690 (2014).
 Approximate solutions to a model of twocomponent reactive flow with P. B. Mucha and M. Pokorný, Discrete and Continuous Dynamical Systems  Series S, 7, No.5 , 1079–1099 (2014).
 Chemically reacting mixtures in terms of degenerated parabolic setting with P. B. Mucha and M. Pokorný, Journal of Mathematical Physics, 54, 071501 (2013).
 On the flow of chemically reacting gaseous mixture, Journal of Differential Equations, 253:34713500 (2012).
 Analysis of semidiscretization of the compressible NavierStokes equations, Journal of Mathematical Analysis and Applications, 386:559580 (2012).
 On the steady flow of multicomponent, compressible, chemically reacting gas, Nonlinearity, 24:32673278 (2011).
 Analysis of nonlocal model of compressible fluid in 1D, Mathematical Methods in the Applied Sciences, 34:198212 (2011).
Book chapters
 Existence Of Stationary Weak Solutions For The Heat Conducting Flows with P. B. Mucha and M. Pokorný, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, p 168 (2016).
Preprints

Transport of congestion in twophase compressible/incompressible flows with P. Degond and P. Minakowski, arXiv:1612.08411.

FiniteEnergy Solutions for Compressible TwoFluid Stokes System with D. Bresch and P. B. Mucha, arXiv:1709.03922.

On strong dynamics of compressible twocomponent mixture flow with T. Piasecki and Y. Shibata, arXiv:1709.09722.
Ph.D. Thesis
E. Zatorska: Fundamental problems to equations of compressible chemically reacting flows. (download the pdf)