Preprints
- A. Abbatiello and M. Meliani: Blow-up criterion for the compressible Navier–Stokes system with inflow-outflow boundary conditions [arXiv]
Journal Papers
- M. Meliani: $L^p-L^q$ existence for the open compressible MHD system, Nonlinear Analysis, 267, 2026. [arXiv]
- M. Meliani and B. Said-Houari: Global existence for a fractionally damped nonlinear Jordan–Moore–Gibson–Thompson equation. To be published in Asymptotic Analysis. See also [arXiv]
- M. Meliani and B. Said-Houari: Well-posedness and global extensibility criteria for time-fractionally damped Jordan–Moore–Gibson–Thompson equation, Nonlinear Differential Equations and Applications NoDEA, 32(5), 2025. [arXiv]
- S. Gómez and M. Meliani: Asymptotic-preserving hybridizable discontinuous Galerkin method for the Westervelt quasilinear wave equation, ESAIM: Mathematical Modelling and Numerical Analysis, 59(2), 2025. [arXiv]
- M. Meliani and B. Said-Houari: Energy decay of some multi-term nonlocal-in-time Moore–Gibson–Thompson equations, Journal of Mathematical Analysis and Applications, 542(2), 2025. [arXiv]
- B. Kaltenbacher, M. Meliani, and V. Nikolić: Limiting behavior of quasilinear wave equations with fractional-type dissipation, Advanced Nonlinear Studies, 24(3), 2024. [arXiv]
- B. Kaltenbacher, M. Meliani, and V. Nikolić: The Kuznetsov and Blackstock equations of nonlinear acoustics with nonlocal-in-time dissipation, Applied Mathematics & Optimization, 89(63), 2024. [arXiv]
- M. Meliani and V. Nikolić: Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis, Applied Numerical Mathematics, 198, 2024. [Code][arXiv]
- M. Meliani: A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits, Fractional Calculus and Applied Analysis, 26, 2023. [arXiv]
- M. Meliani and V. Nikolić: Analysis of general shape optimization problems in nonlinear acoustics, Applied Mathematics & Optimization, 86(3), 2022. [arXiv]
