Izvorni znanstveni članak

https://doi.org/10.3336/gm.53.2.13

On the existence of a solution of a class of non-stationary free boundary problems

Mahmoud Bousselsal ; Department of Mathematics, Labo. Part. Diff. Eq. & Hist. Maths, Ecole Normale Supérieure, 16050 Vieux-Kouba Algiers, Algeria
Abdeslem Lyaghfouri ; Department of Mathematics and Natural Sciences, American University of Ras Al Khaimah, Ras Al Khaimah, UAE
Elmehdi Zaouche ; Department of Mathematics, Labo. Oper. Theo. & Part. Diff. Eq.: Foundations and Applications, University of EL Oued, B. P. 789 El Oued 39000, Algeria

Sažetak

We consider a class of parabolic free boundary problems with heterogeneous coefficients including, from a physical point of view, the evolutionary dam problem. We establish existence of a solution for this problem. We use a regularized problem for which we prove existence of a solution by applying the Tychonoff fixed point theorem. Then we pass to the limit to get a solution of our problem. We also give a regularity result of the solutions.

Ključne riječi

Parabolic free boundary problems; evolution dam problem; existence; regularity

Hrčak ID:

214484

URI

https://hrcak.srce.hr/214484

Datum izdavanja:

30.12.2018.

Posjeta: 1.228 *