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Creators/Authors contains: "Bessaih, Hakima"

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  1. ; (, Nonlinearity)
    Abstract We consider a complex network that consists of reaction-diffusion equations and is connected through both a deterministic and a stochastic coupling. If the intensity of the deterministic coupling is strong enough, we prove that all elements of the network will eventually exhibit the same behavior, resulting in synchronization. This synchronized state can be described by a related deterministic equation. 
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    Free, publicly-accessible full text available November 24, 2026
  2. ; (, Stochastics and Partial Differential Equations: Analysis and Computations)
    Free, publicly-accessible full text available January 31, 2026
  3. ; ; (, Discrete and Continuous Dynamical Systems)
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  4. ; (, Sigma Mathematics)
    Martínez, Vicente; Gregori, Pablo (Ed.)
    We prove that an implicit time Euler scheme for the 2D Boussinesq model on the torus converges. The various moments of the norms of the velocity and temperature, as well as their discretizations, were computed. We obtained the optimal speed of convergence in probability, and a logarithmic speed of convergence in mean square. These results were deduced from a time regularity of the solution. 
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  5. ; (, Stochastics and Partial Differential Equations: Analysis and Computations)
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  6. ; ; (, Stochastics and Dynamics)
    We prove the existence of a pathwise weak solution to the single-phase, miscible displacement of one incompressible fluid by another in a porous medium with random forcing. Our system is described by a parabolic concentration equation driven by an additive noise coupled with an elliptic pressure equation. We use a pathwise argument combined with Schauder’s fixed point theorem. 
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