About Me
My name is Mohammad AKIL and I am an applied mathematician. I am an expert in the control theory of Partial Differential Equations and Optimal Control. I work on the stabilization and controllability of different types of PDE's in monodimensional and multidimensional domains. Likely, (wave equations, Euler Bernoulli beam equations, Timoshenko systems, Bresse systems...). I study the energy decay rate of these systems by considering different types of dissipation law either smooth or non-smooth coefficients like (Frictional damping, Past history, Time delay, Fractional damping, Kelvin-Voigt damping, Thermoelastic law ...).
Control Theory influences the behavior of a physical system to achieve the desired goal through the use of its feedback that monitors the effect of a system and modifies its output. It is applied in a diverse range of scientific and engineering disciplines:
The reduction of noise.
The vibration of structures like seismic waves and earthquakes.
The regulation of biological systems like the human cardiovascular system.
The design of robotic systems.
Laser control in quantum mechanical and molecular systems.
I hold a PhD in applied Mathematics from University of Limoges (France) under the supervision of Pr. Noureddine IGBIDA and the Lebanese University under the supervision of Pr. Ali WEHBE. I obtained it on October 06, 2017.
In 2018-2019, I worked as temporary teaching and research assistant at the INSA de Rouen (National Institut of Sciences and Technologies)-France.
In 2019-2020 I filled a position of Assistant Professor at UL university in Lebanon.
In 2020-2021 I worked as Associated Professor at University of Savoie Mont Blanc (Chambery-France).
Currently, I am a teaching and research assistant at the INSA de Hauts-de-France (Universite Polytechniques Hauts de France) (Valenciennes -France).
For more detailed personal information CV .
Publications-Preprints
In Refereed Journals:
Null-controllability and Carleman estimates for non-autonomous degenerate PDEs: a climatological application (Genni Fragnelli and Sarah Ismail). HAL
Stability of degenerate wave equation with a singular potential and local damping (Genni Fragnelli and Ibtissam Issa). HAL
Boundary Controllability of coupled degenrate Euler-Bernoulli beam equation (Genni Fragnelli, Jawad Salhi and Mohammed Azzaoui).
Advancing insights into the stabilization of novel serially-connected magnetizable piezoelectric and elastic beam (with Serge Nicaise, Ahmet Özkan Özer and Hussein Saleh).
Energy decay rate of a transmission system governed by degenerate wave equation with drift and under heat conduction with memory effect (with Genni Fragnelli and Ibtissam Issa). arXiv
Stability for degenerate wave equations with drift under simultaneous degenerate damping (with Genni Fragnelli and Ibtissam Issa). arXiv
Well-Posedness and Polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction (with M. Ghader, Z.Hajjej and M. Sammoury). Published in Asymptotic Analysis-2023 DOI
Stability Results for novel serially- connected magnetizable piezoelectric and elastic smart system- designs (with Serge Nicaise, Ahmet Özkan Özer and Virginie Régnier). Published Applied Mathematics & Optimisation DOI
Exponential Stability and exact controllability of a system of coupled wave equations by second order terms (via Laplacian) with only one non-smooth local damping (with Z. Hajjej). Published in Mathematical Methods in the applied sciences DOI
Stability and instability of Kirchhoff plate equations with delay on the boundary control (with H. Badawi and Z. Hajjej). Published in Electronic Journal of Differential Equations-2023. DOI
Polynomial energy decay rate of a 2D Piezoelectric beam with magnetic effect on a rectangular domain without geometric conditions (With Virginie Regnier). Published in Evolution Equation and Control Theory (EECT) DOI
Stabilization results of a Lorenz Piezoelectric beam with partial viscous dampings (With Abdelaziz Soufyane and Youssef Belhamdia). Published in Applied Mathematics & Optimisation (AMO)-2023. DOI
Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law. Published in ZAMP journal-2022. DOI
Stability results of locally coupled wave equations with local Kelvin-Voigt damping: Cases when the supports of damping and coupling coefficients are disjoint (With Haidar Badawi and Serge Nicaise). Published in Computational and Applied Mathematics (COAM)-2022. DOI
Stabilization of coupled wave equations with viscous damping on cylindrical and non-regular domains: Cases without the Geometric Control Condition (With Haidar Badawi, Serge Nicaise and Virginie Regnier). Published in Mediterranean Journal of Mathematics-2022. DOI
Stability and instability results of the Kirchhoff plate equation with delay terms on boundary or dynamical boundary controls (with Haidar Badawi, Serge Nicaise et Ali Wehbe). Published in Revista Matematica complutense-2022. DOI
A N-dimensional elastic\viscoelastic transmission problem with Kelvin-Voigt damping and non smooth coefficient at the interface (with Ibtissam Issa and Ali Wehbe) Published in Sema Journal-2022 DOI .
Stabilization of the generalized Rao-Nakra beam by partial viscous dampings (with Zhuangyi LIU) Published in MMAS-2022. DOI
Energy Decay rate of the Euler-Bernoulli Beam and wave equations via boundary connection with one locally non-regular fractional Kelvin-Voigt damping (with Ibtissam Issa and Ali Wehbe) Published in MCRF journal-2021. DOI
Indirect stability of a multidimensional coupled wave equations with one locally boundary fractional damping (with Ali Wehbe) Published in MATHEMATISCHE NACHRICHTEN-2021. DOI
Stability results of coupled wave models with locally memory in a past history framework via non smooth coefficients on the interface (with Haidar Badawi, Serge Nicaise and Ali Wehbe) Published in MMAS-2021. DOI
Stability Results of an Elastic/Viscoelastic transmission problem of locally coupled waves with non smooth coefficients (with Ibtissam Issa and Ali Wehbe) Published in ACAP-2021. DOI
Stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force (with Haidar Badawi, Serge Nicaise and Ali Wehbe) Published in ZAMP-2021. DOI
The effects of the physiscal coefficients of Bresse system with one discontinuous local viscous damping in the longitudinal displacmenent (with Haidar Badawi) Published in EECT-2021. DOI
Indirect Stability of coupled 1-D wave equations with locallized internal Kelvin-Voigt damping and internal Localized delay time with non-smooth coefficients on the interface (with Haidar Badawi and Ali Wehbe) Published in CPAA-2020. DOI
The influence of the coefficients of a system of wave equations coupled by velocities with one fractional damping on its boundary stabilization (with Mouhammad Ghader and Ali Wehbe)-Published in Sema -2020. DOI
Stability and exact controllability of a Timoshenko system with only one fractional damping on the boundary (with Yacin Chitour, Mouhammad Ghader and Ali Wehbe)- Published in Asymptotic Analysis -2019. DOI
Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under optimal geometric control condition (with Ali Wehbe)-Published in MCRF 2018. DOI
Interaction of glucocorticoils and progesterone derivatives with human serum albumin (with Rola Abboud, M. Charcosset and H.Greiges-Gerges)- Published in J. Chemphyslip 2017. DOI
If you are interested in knowing more about these publications, please visit my Research Gate page.
Teaching
I taught many courses after completing my PhD at different faculties (Engineering - Business- Sciences and IUT). I gave variety of courses for Licenses years and Masters in Analysis, Algebra, Linear Algebra, Numerical Analysis, Partial Differential Equations and Functional Analysis, Probability, Statistics, Mathematics for economics....
Contact me
I am completely open to new collaborations. Please, do not hesitate to contact me if you have any questions in the areas of my expertise and/or scientific interests. Any research and professional opportunities are welcome.