Publications

Preprints

50. N. Chaudhuri, E. Feireisl, E. Zatorska, B. Zegarlinski: On thermally driven fluid flows arising in astrophysics. arXiv:2405.07355

49. J.A. Carrillo, G.-Q. Chen, D. Yuan, E. Zatorska. Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit. arXiv:2403.08576

48. P. B. Mucha, M. Szlenk, E. Zatorska: Construction of weak solutions to a pressureless viscous model driven by nonlocal attraction-repulsion. arXiv:2402.10716

47. N. Chaudhuri, C. Perrin, M.A. Mehmood, E. Zatorska: Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system. arXiv:2402.08295

46. N. Chaudhuri, Y.-P. Choi, O. Tse, E. Zatorska: Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming. arXiv:2402.07130

45. N. Chaudhuri, E. Feireisl, E. Zatorska: Nonuniqueness of weak solutions to the dissipative Aw-Rascle model. arXiv:2208.02547

44. Z. Brzeźniak, G. Dhariwal, E. Zatorska: Sequential stability of weak martingale solutions to stochastic compressible Navier-Stokes equations with viscosity vanishing on vacuum. arXiv:2201.02070

Published articles

43. N. Chaudhuri, L. Navoret, C. Perrin, E. Zatorska: Hard congestion limit of the dissipative Aw-Rascle system. Nonlinearity, 37 045018 (2024).

42. N. Chaudhuri, P. Mucha, E. Zatorska: A new construction of weak solutions to compressible Navier-Stokes equations. Mathematische Annalen 10.1007/s00208-023-02730-7 (2024).

41. N. Chaudhuri, P. Gwiazda, E. Zatorska: Analysis of the generalised Aw-Rascle model. Comm. PDEs, 48(3) 440–477, (2023).

40. F. Fanelli, E. Zatorska: Low Mach number limit for degenerate Navier-Stokes equations in presence of strong stratification. Comm. Math. Phys., 400, 1463–1506 (2023)

39. M. Pokorný, A. Wróblewska-Kamińska, E. Zatorska: Two-phase compressible/incompressible Navier–Stokes system with inflow-outflow boundary conditions. J. Math Fluid Mech., 24(87) (2022).

38. D. Breit, E. Feireisl, M. Hofmanova, E. Zatorska: Compressible Navier–Stokes system with transport noise. SIAM J. Math. Anal., 54(4), 937-972 (2022).

37. Y. Li, E. Zatorska: Remarks on weak-strong uniqueness for two-fluid model. Geometric Potential Analysis, De Gruyter (2022).

36. T. Piasecki, E. Zatorska: Maximal Regularity for Compressible Two-Fluid System. J. Math Fluid Mech., 24(9) (2022).

35. Y. Li, E. Zatorska: On weak solutions to the compressible inviscid two-fluid model. J. Differential Equations, 299, 33-50, (2021).

34. J. Barré, P. Dobson, M. Ottobre, E. Zatorska: Fast non mean-field networks: uniform in time averaging. SIAM J. Math. Anal., 53(1), 937-972 (2021).

33. J.A. Carrillo, A. Wróblewska-Kamińska, E. Zatorska: Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system. J. Math. Anal. Appl., 492(1) (2020).

32. Y. Li, E. Zatorska: Large time behaviour for a compressible two-fluid model with algebraic pressure closure and large initial data. Nonlinearity, 33(8):4075-4094 (2020).

31. J. Barré, P. Degond, D. Peurichard, E. Zatorska: Modelling pattern formation through differential repulsion. Networks&Heterogeneous Media, 15(3), 307-352 (2020).

30. T. Piasecki, Y. Shibata, E. Zatorska: On the maximal Lp−Lq regularity of solutions to a general linear parabolic system. J. Differential Equations, 268 (7), 3332-3369 (2020).

29. T. Piasecki, Y. Shibata, E. Zatorska: On the strong dynamics of compressible two-component mixture flow.SIAM J. Math. Anal., 51(4):2793–2849, (2019).

28. T. Piasecki, Y. Shibata, E. Zatorska: On the isothermal compressible multi-component mixture flow: the local existence and maximal Lp−Lq regularity of solutions. Nonlinear Analysis, 189, 111571, (2019).

27. D. Bresch, P. B. Mucha, E. Zatorska: Finite-Energy Solutions for Compressible Two-Fluid Stokes System. Arch. Ration. Mech. Anal., 232(2):987–1029, (2019).

26. J.A. Carrillo, A. Wróblewska-Kamińska, E. Zatorska: On long-time asymptotic for viscous hydrodynamic models of collective behaviour with damping and nonlocal interactions. Math. Models Methods Appl. Sci. Vol. 29, No. 1, 31–63 (2019).

25. P. Degond, P. Minakowski, E. Zatorska: Transport of congestion in two-phase compressible/incompressible flows. Nonlinear Analysis Real World Applicatios, Vol. 42, 485–510 (2018).

24. P. Degond, P. Minakowski, L. Navoret, E. Zatorska: Finite Volume approximations of the Euler system with variable congestion. Computers&Fluids, Vol. 169, 23–39 (2018).

23. J. Barré, J. A. Carrillo, P. Degond, D. Peurichard, E. Zatorska: Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions. Journal of Nonlinear Science, Vol. 28, Issue 1, 235–268 (2018).

22. N. Vauchelet, E. Zatorska: Incompressible limit of the Navier-Stokes model with growth term. Nonlinear Analysis, Vol. 163, 34–59 (2017).

21. J. Barré, P. Degond, E. Zatorska: Kinetic theory of particle interactions mediated by dynamical networks. Multiscale Model. Simul. (SIAM), 15(3), 1294–1323, (2017).

20. J. A. Carrillo, Y-P. Choi, E. Zatorska: On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior. Math. Models Methods Appl. Sci. Vol. 26, No. 12, 2311–2340 (2016).

19. D. Maltese, M. Michalek, P. B. Mucha, A. Novotný, M. Pokorný, E. Zatorska: Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. J. Differential Equations, Vol. 261, no. 8, 4448–4485 (2016).

18. E. Feireisl, R. Klein, A. Novotný, E. Zatorska: On singular limits arising in the scale analysis of stratified fluid flows. Math. Models Methods Appl. Sci. Vol. 26, No. 3, 419–443 (2016).

17. B. Haspot, E. Zatorska: From the highly compressible Navier-Stokes equations to the Porous Medium equation - rate of convergence. Discrete Contin. Dyn. Syst. -A Vol. 36, No. 6, 3107–3123 (2016).

16. P. B. Mucha, M. Pokorný, E. Zatorska: Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution. SIAM J. Math. Anal., Vol. 47, No. 5, 3747–3797 (2015).

15. E. Zatorska: Mixtures: sequential stability of variational entropy weak solutions. J. Math. Fluid Mech. Vol. 17, No. 3, 437–461 (2015).

14. V. Giovangigli, M. Pokorný, E. Zatorska: On the steady flow of reactive gaseous mixture. Analysis (Berlin) Vol. 35, No. 4, 319–341 (2015).

13. D. Bresch, B. Desjardins, E. Zatorska: Two-velocity hydrodynamics in Fluid Mechanics, Part II: Existence of globalκ-entropy solutions to compressible Navier-Stokes system with degenerate viscosities. J. Math. Pures Appl. Vol. 104, No. 4, 801–836 (2015).

12. D. Bresch, V. Giovangigli, E. Zatorska: Two-velocity hydrodynamics in Fluid Mechanics, Part I: Well-posedness for zero Mach number systems. J. Math. Pures Appl., Vol. 104, No. 4, 762–800 (2015).

11. C. Perrin, E. Zatorska: Free/Congested Two-Phase Model from Weak Solutions to Multi- Dimensional Compressible Navier–Stokes Equations. Commun. PDEs, 40: 1558–1589 (2015).

10. P. B. Mucha, E. Zatorska: Multicomponent Mixture Model. The Issue of Existence via Time Discretization. Commun. Math. Sci., Vol. 13, No. 8, 1975–2003 (2015).

9. D. Bresch, C. Perrin, E. Zatorska: Singular limit of a Navier–Stokes system leading to a free/congested zones two-phase model. C. R. Math. Acad. Sci. Paris 352, No. 9, 685–690 (2014).

8. P. B. Mucha, M. Pokorný, E. Zatorska: Approximate solutions to a model of two-component reactive flow. Discrete Contin. Dyn. Syst. Ser. S, 7(5): 1079-1099 (2014).

7. P. B. Mucha, M. Pokorný, E. Zatorska: Chemically reacting mixtures in terms of degenerated parabolic setting. J. Math. Phys., 54, 071501 (2013).

6. E. Zatorska: On the flow of chemically reacting gaseous mixture. J. Differential Equations, 253, 3471–3500 (2012).

5. E. Zatorska: Analysis of semidiscretization of the compressible Navier–Stokes equations. J. Math. Anal. Appl., 386, 559–580 (2012).

4. E. Zatorska: On the steady flow of multicomponent, compressible, chemically reacting gas. Nonlinearity, 24, 3267–3278 (2011).

3. E. Zatorska: Analysis of nonlocal model of compressible fluid in 1-D.Math. Methods Appl. Sci. Sciences, 34, 198–212 (2011).

Book chapters

2. P. Minakowski, P. B. Mucha, J. Peszek, E. Zatorska: Singular Cucker-Smale Dynamics. Active Particles, Vol. 2, Springer, (2019).

1. M. Pokorný, P. B. Mucha, E. Zatorska: Existence Of Stationary Weak Solutions For The Heat Conducting Flows. Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 1–68 (2016).