Haroune Houamed's website

  • Publications

    1. D. Arsénio and H. Houamed, Damped Strichartz Estimates and the Incompressible Euler–Maxwell System in two-dimensions, (2024). To appear in Analysis & PDE.  arXiv version.  
    2. D. Arsénio, Z. Hassainia and H. Houamed, Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics, (2024). Forum of Mathematics, Sigma.  arXiv version, Journal version.
    3. B. Guelmame and H. Houamed,  Convergence rate for a regularized scalar conservation law, (2024). Zeitschrift für Angewandte Mathematik und Physik (ZAMP). arXiv version, Journal version.
    4. D. Arsénio and H. Houamed, Stability Analysis of two-dimensional Ideal Flows with Applications to Viscous Fluids and Plasmas, (2024). International Mathematics Research Notices (IMRN). arXiv version, Journal version.
    5. A. Hanachi, H. Houamed and M. Zerguine, Remarks on the Global Well-Posedness of the Axisymmetric Boussinesq System with Rough Initial Data. Communications on Pure and Applied Analysis, (2023). arXiv version, Journal version.
    6. T. Hmidi, H. Houamed and M. Zerguine, Rigidity Aspects of Singular Patches in Stratified Flows. Tunisian Journal of Mathematics, (2022). arXiv version, Journal version. 
    7. H. Houamed, Well-Posedness and Long Time Behavior for the Electron Inertia Hall-MHD System in Besov and Kato-Herz Spaces. Journal of Mathematical Analysis and Applications, (2021). arXiv version,  Journal version.
    8. H. Houamed, About Some Possible Blow up Conditions for the 3-D Navier-Stokes Equations.  Journal of Differential Equations, (2021). arXiv version, Journal version.
    9. P. Dreyfuss and H. Houamed, Uniqueness Result for the 3-D Navier-Stokes-Boussinesq Equations with Horizontal Dissipation.  Journal of Mathematical Fluid Mechanics, (2021). arXiv version, Journal version.
    10. A. Hanachi, H. Houamed and M. Zerguine, On the Global Well-Posedness of the Axisymmetric Viscous Boussinesq System in Critical Lebesgue Spaces.  Discrete and Continuous Dynamical Systems, (2020). arXiv version, Journal version.
    11. H. Houamed and M. Zerguine, On the Global Solvability of the Axisymmetric Boussinesq System with Critical Regularity.  Nonlinear Analysis, (2020). arXiv version, Journal version.  
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  • Preprints (submitted)

    1. D. Arsénio, H. Houamed, and Belkacem Said-Houari, Global Unique solutions to the planar Inhomogeneous Navier–Stokes–Maxwell equations, (2024). arXiv version.
    2. T. Hmidi, H. Houamed, E. Roulley and M. Zerguine, Uniformly Rotating Vortices for the Lake equation, (2024). arXiv version.
    3. Z. Hassainia and H. Houamed, Dynamic Behavior of a Multi-Layer Quasi-Geostrophic Model: Weak and Time-Periodic Solutions, (2023). arXiv version.

Others

My Ph.D. thesis: Mathematical Analysis of some 3D Fluid and Magneto-Hydrodynamic Models. PDF