Al Zohbi, Marya; El Hajj, Ahmad; Jazar, Mustapha Convergent semi-explicit scheme to a non-linear eikonal system. (English) Zbl 1502.65053 BIT 62, No. 4, 1841-1872 (2022). MSC: 65M06 65N06 65D05 65M12 35F21 35F50 35D40 35A23 PDFBibTeX XMLCite \textit{M. Al Zohbi} et al., BIT 62, No. 4, 1841--1872 (2022; Zbl 1502.65053) Full Text: DOI
El Hajj, Ahmad; Oussaily, Aya Continuous solution for a non-linear eikonal system. (English) Zbl 1479.35232 Commun. Pure Appl. Anal. 20, No. 11, 3795-3823 (2021). MSC: 35F55 35D40 35F21 35L60 35Q35 74H20 PDFBibTeX XMLCite \textit{A. El Hajj} and \textit{A. Oussaily}, Commun. Pure Appl. Anal. 20, No. 11, 3795--3823 (2021; Zbl 1479.35232) Full Text: DOI
Al Zohbi, Maryam; El Hajj, Ahmad; Jazar, Mustapha Global existence to a diagonal hyperbolic system for any BV initial data. (English) Zbl 1467.35213 Nonlinearity 34, No. 8, 5485-5519 (2021). MSC: 35L45 35L60 35B45 35D40 PDFBibTeX XMLCite \textit{M. Al Zohbi} et al., Nonlinearity 34, No. 8, 5485--5519 (2021; Zbl 1467.35213) Full Text: DOI
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian \(BV\) solution for a non-linear Hamilton-Jacobi system. (English) Zbl 1465.35112 Discrete Contin. Dyn. Syst. 41, No. 7, 3273-3293 (2021). MSC: 35F21 35D40 35F20 35L45 35Q35 PDFBibTeX XMLCite \textit{A. El Hajj} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3273--3293 (2021; Zbl 1465.35112) Full Text: DOI
El Hajj, A.; Oussaily, A. Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. (English) Zbl 1462.35332 J. Nonlinear Sci. 31, No. 1, Paper No. 20, 41 p. (2021). MSC: 35Q53 49L25 35F21 35F25 35L40 35L45 35A01 35A02 74H20 74H25 PDFBibTeX XMLCite \textit{A. El Hajj} and \textit{A. Oussaily}, J. Nonlinear Sci. 31, No. 1, Paper No. 20, 41 p. (2021; Zbl 1462.35332) Full Text: DOI
El Hajj, A. Global solution for a non-local eikonal equation modelling dislocation dynamics. (English) Zbl 1383.35050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 154-175 (2018). MSC: 35F21 35A01 74G25 35F20 70H20 35D40 35R09 PDFBibTeX XMLCite \textit{A. El Hajj}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 154--175 (2018; Zbl 1383.35050) Full Text: DOI
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian Global \(BV\) solution for a non-local coupled system modeling the dynamics of dislocation densities. (English) Zbl 1378.35265 J. Differ. Equations 264, No. 3, 1750-1785 (2018). MSC: 35Q53 49L25 35F25 35L40 35L45 65M06 65M12 65M15 74H20 74H25 35F21 35Q74 74B20 PDFBibTeX XMLCite \textit{A. El Hajj} et al., J. Differ. Equations 264, No. 3, 1750--1785 (2018; Zbl 1378.35265) Full Text: DOI