Preprints

• M. Meliani: $L^p-L^q$ existence for the open compressible MHD system [arXiv]
• M. Meliani, B. Said-Houari: Well-posedness and global extensibility criteria for time-fractionally damped Jordan–Moore–Gibson–Thompson equation [arXiv]

Journal Papers

1. 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]

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2. 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]

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3. B. Kaltenbacher, M. Meliani, and V. Nikolić: Limiting behavior of quasilinear wave equations with fractional-type dissipation, Advanced Nonlinear Studies, 24(3), 2024. [arXiv]

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4. 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]

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5. 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]

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6. 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]

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7. M. Meliani and V. Nikolić: Analysis of general shape optimization problems in nonlinear acoustics, Applied Mathematics & Optimization, 86(3), 2022. [arXiv]