Electron. J. Differential Equations, Vol. 2017 (2017), No. 04, pp. 1-15.

Existence of global solutions for reaction diffusion systems modeling the electrodeposition of alloys with initial data measures

Noureddine Alaa, Fatima Aqel

Abstract:
In this work, we are interested in the mathematical model of reaction diffusion systems. The originality of our study is to work with concentrations appearing in reactors together with measure initial data. To validate this model, we prove the existence of global weak solutions. The "j" technique introduced by Pierre and Martin [18] is suitable for this type of solutions. However, its adaptation has some new technical difficulties that we have to overcome.

Submitted September 28, 2016. Published January 5, 2017.
Math Subject Classifications: 74K15, 35D30, 34A34, 35A01, 35A09, 54D30.
Key Words: Electrodeposition of alloys; weak solution; truncated functions; global solution.

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Nour Eddine Alaa
Laboratory LAMAI
Faculty of Science and Technology of Marrakech
University Cadi Ayyad B.P. 549
Abdelkarim Elkhattabi avenue, Marrakech - 40000, Morocco
email: n.alaa@uca.ac.ma
Fatima Aqel
Laboratory LAMAI
Faculty of Science and Technology of Marrakech
University Cadi Ayyad B.P. 549
Abdelkarim Elkhattabi avenue, Marrakech - 40000, Morocco
email: aqel.fatima@gmail.com

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