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math.AP2026
Global well-posedness and Decay estimates for solutions of the Navier--Stokes--Maxwell system
Belkacem Said-Houari
We investigate the global solvability and the large-time asymptotic behavior of solutions to the Navier--Stokes--Maxwell system in two and three space dimensions. The system descri…
math.AP2026
Optimal Time-Decay of global solutions to the Navier-Stokes-Maxwell system
Haroune Houamed, Slim Ibrahim, Belkacem Said-Houari
We prove the existence and uniqueness of global-in-time solutions to the Navier--Stokes--Maxwell (NSM) system for small initial data in the critical Fujita--Kato space $\dot H^{\fr…
math.AP2026
On the decay estimates of a nonlocal convection-diffusion Hamer system
Timothée Crin-Barat, Belkacem Said-Houari
We consider the multi-dimensional Hamer model for radiating gases in its coupled hyperbolic--elliptic formulation. By means of energy estimates, we establish the global well-posedn…