Alaa Haj Ali
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Mail code: 1804Campus: Tempe
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Alaa Haj Ali received her PhD from Wayne State University in 2019. Her research area is in partial differential equations and free boundary problems. She has been teaching at Arizona State University since Fall 2021. She has taught several 200 and 300 level classes, for instance Calculus II, Ordinary Differential Equations, Discrete Mathematics, and Linear Algebra.
Ph.D. Wayne State University, May 2019.
My research work lies in the analysis of partial differential equations. Mainly, my current projects concern with fourth order obstacle-type free boundary problems, where one seeks to find a solution which is constrained to stay above a given obstacle in either the domain or in a given lower dimensional sub-domain. The free interface between the solution and the given obstacle is a-priori unknown, and the main objectives in studying such problems is to understand regularity properties of the solution, as well as the regularity and structure of the free interface.
Haj Ali, A. and Wang, P., The one-phase bifurcation for the p-Laplacian, Journal of Differential Equations, 266 (2019), no. 4, 1899 - 1921. https://arxiv.org/abs/1801.06221
Haj Ali, A., Li, D. and Wang, P., Symmetry and approximate symmetry of a nonlinear elliptic problem over a ring, Calculus of Variations and Partial Differential Equations 58 (2019), no. 2, Paper No. 61, 25 pp. https://arxiv.org/abs/1711.07109
Danielli, D. and Haj Ali, A. A two phase boundary obstacle-type problem for the bi-Laplacian, Nonlinear Analysis 214 (2022), Paper No. 112583, 26 pp. https://arxiv.org/abs/2109.03380
Danielli, D., and Haj Ali, A., A survey on obstacle-type problems for fourth order elliptic operators, Matematica Contemporanea 52 (2022), 87-118. https://arxiv.org/abs/2211.09311
Charro, F., Haj Ali, A., Raihen, L., Torres, M. and Wang, P., A bifurcation phenomenon in a singularly perturbed two-phase free boundary problem of phase transition, Nonlinear Analysis Real World Applications 73 (2023), Paper No. 103911, 16 pp. https://www.sciencedirect.com/science/article/abs/pii/S1468121823000810
Danielli, D., Haj Ali, A. and Petrosyan, A., The obstacle problem for a higher order fractional Laplacian, Calculus of Variations and Partial Differential Equations 62(2023), no. 8, Paper No. 218, 22 pp. https://arxiv.org/abs/4890742
Courses
2024 Spring
Course Number | Course Title |
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MAT 300 | Mathematical Structures |
MAT 266 | Calculus for Engineers II |
MAT 343 | Applied Linear Algebra |
MAT 343 | Applied Linear Algebra |
MAT 591 | Seminar |
2023 Fall
Course Number | Course Title |
---|---|
MAT 266 | Calculus for Engineers II |
MAT 591 | Seminar |
MAT 343 | Applied Linear Algebra |
MAT 275 | Modern Differential Equations |
MAT 343 | Applied Linear Algebra |
MAT 242 | Elementary Linear Algebra |
2023 Summer
Course Number | Course Title |
---|---|
MAT 300 | Mathematical Structures |
MAT 343 | Applied Linear Algebra |
2023 Spring
Course Number | Course Title |
---|---|
MAT 342 | Linear Algebra |
MAT 275 | Modern Differential Equations |
MAT 275 | Modern Differential Equations |
MAT 343 | Applied Linear Algebra |
MAT 591 | Seminar |
2022 Fall
Course Number | Course Title |
---|---|
MAT 300 | Mathematical Structures |
MAT 300 | Mathematical Structures |
MAT 598 | Special Topics |
2022 Summer
Course Number | Course Title |
---|---|
MAT 300 | Mathematical Structures |
MAT 300 | Mathematical Structures |
2022 Spring
Course Number | Course Title |
---|---|
MAT 300 | Mathematical Structures |
2021 Fall
Course Number | Course Title |
---|---|
MAT 243 | Discrete Math Structures |
MAT 243 | Discrete Math Structures |