Ewelina Zatorska

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 aggregation-diffusion equations modelling dynamical networks (of animals, polymers, etc.).

Journal Articles

  1. Finite Volume approximations of the Euler system with variable congestion with P. Degond, P. Minakowski, and L. Navoret, accepted to Computers & Fluids (2017).
  2. 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).
  3. Incompressible limit of the Navier-Stokes model with growth term with N. Vauchelet, Nonlinear Analysis, Vol. 163, p. 34-59 (2017).
  4. Kinetic theory of particle interactions mediated by dynamical networks  with J. Barré and P. Degond, to appear in Multiscale Modeling and Simulation, SIAM (2017).
  5. On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior with J. A. Carrillo and Y-P.  Choi, Math. Models Methods Appl. Sci. Vol. 26, No. 12, pp. 2311-2340 (2016).
  6. Existence of weak solutions for compressible Navier-Stokes equations with entropy transport with D. Maltese, M. Michalek, P. B. Mucha, A. Novotn, and M. Pokorn, J. Differential Equations, 261, no. 8, 4448-4485 (2016).
  7. From the highly compressible Navier-Stokes equations to the Porous Medium equation - rate of convergence with B. Haspot, DCDS-A, Vol.36, No. 6, 3107-3123 (2016).
  8. On singular limits arising in the scale analysis of stratified fluid flows with E. Feireisl, R. Klein, and A. Novotn, M3AS, Vol. 26, No. 3, 419-443 (2016).
  9. Heat-conducting, compressible mixtures with multicomponent diffusion: construction of a weak solution with P. B. Mucha and M. Pokorn, SIAM J. Math. Anal., 47(5), 3747–3797 (2015).
  10. On the steady flow of reactive gaseous mixture, with V. Giovangigli and M. Pokorný, Analysis (Berlin) 35, no. 4, 319-341 (2015).
  11. Mixtures: sequential stability of variational entropy weak solutions, Journal of Mathematical Fluid Mechanics 17, no.3, 437-461 (2015).
  12. 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).
  13. Two-velocity 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).
  14. Two-velocity hydrodynamics in fluid mechanics: Part II Existence of global κ–entropy solutions to the compressible Navier-Stokes systems with degenerate viscosities, with D. Bresch and B. Desjardins, Journal de Mathématiques Pures et Appliquées (2015).
  15. Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier–Stokes Equations, with Charlotte Perrin, Communications in Partial Differential Equations, 40: 1558–1589, (2015).
  16. Singular limit of the Navier-Stokes system leading to a free/congested zones two-phase model with D. Bresch and C. Perrin, Comptes Rendus de l'Academie des Sciences - Series I - Mathematics,  352:  685-690 (2014).
  17. Approximate solutions to a model of two-component reactive flow with P. B. Mucha and M. Pokorný, Discrete and Continuous Dynamical Systems - Series S, 7, No.5 , 1079–1099 (2014).
  18. Chemically reacting mixtures in terms of degenerated parabolic setting with P. B. Mucha and M. Pokorný, Journal of Mathematical Physics, 54, 071501 (2013).
  19. On the flow of chemically reacting gaseous mixture, Journal of Differential Equations, 253:3471-3500 (2012).
  20. Analysis of semidiscretization of the compressible Navier-Stokes equations, Journal of Mathematical Analysis and Applications, 386:559-580 (2012).
  21. On the steady flow of multicomponent, compressible, chemically reacting gas, Nonlinearity, 24:3267-3278  (2011).
  22. Analysis of nonlocal model of compressible fluid in 1-D, Mathematical Methods in the Applied Sciences, 34:198-212 (2011).

Book chapters

  1. 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 1-68 (2016).

Preprints

  1. Transport of congestion in two-phase compressible/incompressible flows with P. Degond and P. Minakowski, arXiv:1612.08411.
  2. Finite-Energy Solutions for Compressible Two-Fluid Stokes System with D. Bresch and P. B. Mucha, arXiv:1709.03922.
  3. On strong dynamics of compressible two-component 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)

 

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