Research 

Publications and preprints:

1. 1.  Z. Hassainia, T .Hmidi  and N. Masmoudi, Rigorous derivation of the leapfrogging motion for planar Euler equations, 

arXiv:2311.15765, (2023).

1. 2.  Z. Hassainia and H. Houamed, Dynamic Behavior of a Multi-Layer Quasi-Geostrophic Model: Weak and Time-Periodic Solutions, 

arXiv:2309.17202, (2023). 

1. 3.  Z. Hassainia, C. García and  E. Roulley,  Dynamics of vortex cap solutions on the rotating unit sphere, 

arXiv:2306.00154, (2023).

1. 4.  Z. Hassainia, T .Hmidi  and E. Roulley, Invariant KAM tori around annular vortex patches for 2D Euler equations, 

 arXiv:2302.01311, (2023).

1. 5. Z. Hassainia and E. Roulley,  Boundary effects on the emergence of quasi-periodic solutions for Euler equations,   

arXiv:2202.10053, (2022).

1. 6.  D. Arsénio, Z. Hassainia and  H. Houamed, Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics, Accepted in Forum of Mathematics, Sigma,

arXiv:2309.12060, (2023). 

1. 7.   Z. Hassainia, T .Hmidi  and N. Masmoudi, KAM theory for active scalar equations, To appear in Memoirs of the American Mathematical Society, 

 arxiv:2110.08615, (2021).

1. 8.  M. Berti Z. Hassainia and N. Masmoudi,  Time quasi-periodic vortex patches of Euler equation in the plane, Inventiones mathematicae 233 (2023), pages 1279-1391. 

Journal version, arXiv version. 

1. 9.  Z. Hassainia and M. Wheeler,  Multipole vortex patch equilibria for active scalar equations,  SIAM Journal on Mathematical Analysis  54 (2022), no. 6, 6054-6095.

Journal version, arXiv version.  

1. 10.  Z. Hassainia, On the global well-posedness of the 3D axisymmetric resistive  MHD equations,  Annales Henri Poincaré 23 (2022), no. 8, 2877-2917.

 Journal version, arXiv version. 

1. 11. Z. Hassainia and T .Hmidi,  Steady asymmetric vortex pairs for Euler equations, Discrete and Continuous Dynamical Systems-A 41 (2021), no. 4, 1939-1969. 

Journal version, arXiv version. 

1. 12.   Z. Hassainia, N. Masmoudi, and M. H. Wheeler,  Global bifurcation of rotating vortex patches,  Communications on Pure and Applied Mathematics 73 (2020), no. 9, 1933-1980.

 Journal version, arXiv version.

1. 13.  F. de la Hoz, Z. Hassainia,   T. Hmidi  and J. Mateu,  An analytical and numerical study of steady patches in the disc, Analysis & PDE 9 (2016), no. 7, 1609-1670.

 Journal version, arXiv version.  

1. 14.  F. de la Hoz Z. Hassainia and T. Hmidi, Doubly connected V-states for the generalized quasi-geostrophic equations,  Archive for Rational Mechanics and Analysis 220 (2016), no. 3, 1209-1281.

Journal version, arXiv version.  

1. 15.  Z. Hassainia and T. Hmidi, On the inviscid Boussinesq system with rough initial data,  Journal of Mathematical Analysis and Applications 430 (2015), no. 2, 777-809.

Journal version, arXiv version.  

1. 16.  Z. Hassainia,  On the 2D isentropic Euler system with unbounded initial vorticity.   Journal of Differential Equations 259 (2015) 264--317. 

Journal version, arXiv version. 

1. 17.   Z. Hassainia and T. Hmidi, On the V-states for the generalized quasi-geostrophic equations, Communications in Mathematical Physics 337 (2015), no. 1, 321–377. 

Journal version, arXiv version.  

• My PHD thesis