Researcher in Mathematics

African Institute for Mathematical Sciences (AIMS-Cameroon)
AIMS-Cameroon Research Center
Office: RC Building R2, Cristal Garden
Bota, Limbe, Cameroon.

mail to: jeandaniel.djida@aims-cameroon.org

Current Position

I am currently a Postdoctoral Research Associate in Mathematics and its applications at the African Institute for Mathematical Sciences (AIMS) Cameroon.

My research projects are mainly focused on Nonlinear Analysis of PDEs, Shape Optimization, Deep Learning with Fractional Operators, Optimal Control, and their applications to real-world problems such as environmental pollution, problems arising in materials with memory effects, coastal erosion, urban networks, problems arising in some local companies such as the Cameroon Development Corporation(CDC), and different disease models.

Research Outline

My research work is located at the intersection of Analysis, Geometry, and Environmental Problems. My recent emphasis is on Fractional Diffusion Operators, Mixed local and Nonlocal Operators, and Shape Optimization problems, which I utilize in understanding further the erosion phenomena.  For more details, please see my Research page. You can find some of my preprints on the servers of AIMS-Cameroon's Alumni publications and Researchgate. My work is also linked to my publications page, where supplementary data to some papers are available.

Collaborators and Academic Referees

My Research ties mainly with Spain, Northern Cyprus, France, the US, Germany, Senegal, Cameroon, and is composed of researchers working in the areas of Analysis, PDEs, Optimal control, Overdetermined problems, and their applications, as well as related topics across a range of sciences. Some of my collaborators can be found here:

Juan José Nieto Roig ; Iván Area ; Arran Fernandez ; Gisèle Mophou ; Mahamadi Warma; Ralph Chill ; Mouhamed Moustapha Fall; Ignace Aristide Minlend

Updates and Activities

For many months, there has been a push to move teaching, research, and collaboration content online in a form that goes beyond just linking print versions of papers and face-to-face meetings. The COVID-19 pandemic has only accelerated this trend, forcing all the AIMS Centers to focus on how to deliver courses, talks, and to hold meetings online. In this regard, my Collaborators and I are currently organizing regular webinars, workshops, and Conferences on Calculus of Variation, Fractional PDEs, Fractional Calculus and Analytic Number theory, Shape Optimization, Optimal Control Theory, Deep Neural Networks Analysis, and Numerical Analysis. If you happen to be interested in delivering a talk on any of these topics, do not hesitate to contact me using my contact details above.

July 07, 2020

I attended the online colloquium organized by the Center for Mathematics and Artificial Intelligence (CMAI) group at George Mason University (Fairfax, VA). The colloquium was conducted by Harbir Hantil and Marta D'Elia who delivered a talk on A unified theoretical and computational nonlocal framework: generalized vector calculus and machine-learned nonlocal models.

 

June 26, 2020

I attended the online colloquium organized by the Center for Mathematics and Artificial Intelligence (CMAI) group at George Mason University (Fairfax, VA). The colloquium was conducted by Harbir Hantil and Mahamadi Warma who delivered a talk on Fractional PDEs and their controllability properties: What is so far known and what is still unknown?

 

June 9-10, 2020

I attended the online workshop on Fractional Calculus organized by the Ghent Analysis & PDE Center group. The aim of the workshop was to exchange the recent progress and ideas in the field of fractional calculus and fractional differential equations (FDEs), and their applications to a variety of concrete problems.