## Recent Publications by Mathematical Sciences Faculty (highlighted) and Students

**Published/Accepted In 2020:**

**Abdulla, U.G., **Cosgrove,E.* Optimal Control of Multiphase Free Boundary Problems for Nonlinear Parabolic Equations, Applied Mathematics and Optimization, January 2020. ***Applied Math Ph.D. Student**

**Abdulla, U.G., Goldfarb, J., **Hagverdiyev, A.*, Optimal Control of Coefficients in Parabolic Free Boundary Problems Modeling Laser Ablation, Journal of Computational and Applied Mathematics, Volume 372, July 2020. **Applied Math Ph.D. Student*

**Abdulla, U.G., **Abu Weden, A.* Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations, Nonlinear Differential Equations and Applications NoDEA, February 2020, 27:3. ***Applied Math Ph.D. Student**

**Abdulla, U.G., **Poggi, P.* Optimal Stefan Problem. Calculus of Variations and Partial Differential Equations. 59, 61.(2020). **Applied Math M.S. Student*

**Published/Accepted in 2019:**

**Abdulla, U.G.**, **Bukshtynov, V.**, Hagverdiyev, A.***** Gradient method in Hilbert-Besov spaces for the optimal control of parabolic free boundary problems. Journal of Computational and Applied Mathematics 346 (2019), 84-109. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Jeli, R.***** Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption. European Journal of Applied Mathematics (2019),1-22. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Poggi, B.* Optimal control of the multiphase Stefan problem. Applied Mathematics and Optimization 80(2) (2019), 479-513. ******Applied Math M.S. Student*

Bain, T.C.*****, Avila-Herrera, J.F.*****, Subasi, E., **Subasi M.M.** Logical Analysis of Multiclass Data with Relaxed Patterns, Annals of Operations Research, https://doi.org/10.1007/s10479-019-03389-7. ******Operations Research Ph.D. Students*

**Dshalalow, J.H.**, Merie, A.*****, **White, R.T.** Fluctuation Analysis in Parallel Queues with Hysteretic Control. Methodology and Computing in Applied Probability (2019). https://doi.org/10.1007/s11009-019-09701-z. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Nandyose, K.***** Real time analysis of signed marked random measures with applications to finance and insurance. Nonlinear Dynamics and System Theory1 (19) (2019), 36-54. ******Operations Research Ph.D. Student*

Dutra, A*****., **Marcinkowski, T.**, Webbe, F.***** (in press). Testing a model of the relationship of demographic, affective, and fitness variables to academic achievement among non-science majors at an independent. International Journal of Sport and Society. ******Science Education Ph.D. Student*

Henderson, C., **Snelson, S.**, Tarfulea, A. Local existence, lower mass bounds, and a new continuation criterion for the Landau equation. J. Differential Equations 266(2-3) (2019), 1536–1577.

**Marcinkowski, T.**, Reid, A.***** Reviews of research on the attitude-behavior relationship and their implications for future research in EE. Environmental Education Research*, 25*(4) (2019), 1-13. ******Science Education Ph.D. Student*

**Perera, K.**, Sim, I. Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities Topol. Methods Nonlinear Anal. (2019). To appear.

**Perera, K.**, Shivaji, R., Sim, I. A class of semipositone p-Laplacian problems with a critical growth reaction term. Adv. Nonlinear Anal. 9 (2020), 516-525.

Riaz, M.*, **Marcinkowski, T.**, Faisal, A.***** (in press). The effects of a DLSCL approach on students’ conceptual understanding in an undergraduate physics introductory lab. Eurasian Journal of Mathematics, Science and Technology Education. ******Science Education Ph.D. Student*

**Published in 2018:**

**Abdulla, U.G. **Removability of the logarithmic singularity for the elliptic PDEs with measurable coefficients and its consequences. Calc. Var. Partial Differential Equations 57(6) 2018), 157.

**Abdulla, U.G.**, Poteau, R.***** Identification of parameters in systems biology. Mathematical Biosciences 305 (2018), 133–145. ******Operations Research Ph.D. Student*

**Abdulla, U.G.**, **Du, J.**, Prinkey, A.*****, Ondracek, C., Parimoo, S. Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption. Math. Comput. Simulation 153 (2018), 59–82. ******Applied Math Ph.D. Student*

**Abdulla, U.G.,** **Goldfarb, J.M.** Frechet differentiability in Besov spaces in the optimal control of parabolic free boundary problems. J. Inverse Ill-Posed Probl. 26(2) (2018), 211–227.

Alharbi, M.G.*****, Subasi, E., **Subasi, M.M.** New sufficient conditions for strong unimodality of multivariate discrete distributions. Discrete Appl. Math. 237 (2018), 1–25. ******Operations Research Ph.D. Student*

AlObaidi, A.*, **Dshalalow, J.H. **On intensities of perturbed random measures on Hausdorff spaces. Stochastic Analysis and Applications 6 (2018), 932-959. ***Applied Math Ph.D. Student**

Bain, T.C.*****, Avila-Herrera, J.F.*****, Subasi, E., **Subasi, M.M.** Logical Analysis of Multiclass Data with Relaxed Patterns. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

Cameron, S.; Silvestre, L., **Snelson, S.** Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials. Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, 625–642.

Deebani, W.*****, **Nezamoddini-Kachouie, N.** Ensemble Correlation Coefficient. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Merie, A.* Fluctuation analysis in queues with several operational modes and priority customers. TOP 26(2) (2018), 309–333. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Nandyose, K.*** Continuous time interpolation of monotone marked random measures with applications**. Neural, Parallel, and Scientific Computations 2 (26) (2018), 119-141. ******Operations Research Ph.D. Student*

**Du, J.**, Fogelson, A.L. A two-phase mixture model of platelet aggregation. Math. Med. Biol. 35(2) (2018), 225–256.

Kutt, B., Burdorf, R., Bain, T.C.*****, Moore, L., **Subasi, M.M.** Interalgorithmic Consolidation for Pattern Recognition Applied to Melanoma Genomic Data. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

Jerison, D., **Perera, K.** Higher critical points in an elliptic free boundary problem. J. Geom. Anal. 28(2) (2018), 1258–1294.

**Perera, K.**, Yang, Y., Zhang, Z. Asymmetric critical p -Laplacian problems. Calc. Var. Partial Differential Equations 57(5) (2018), 131.

**Perera, K.**, Zou, W. p -Laplacian problems involving critical Hardy-Sobolev exponents. NoDEA Nonlinear Differential Equations Appl. 25(3) (2018), 25.

**Perera, K.**, Tintarev, C., Wang, J., Zhang, Z. Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in R N . Adv. Differential Equations 23(7-8) (2018), 615–648.

**Perera, K.**, Squassina, M. Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Discrete Contin. Dyn. Syst. Ser. S 11(3) (2018), 561–576.

**Perera, K.**, Squassina, M. Existence results for double-phase problems via Morse theory. Commun. Contemp. Math. 20(2) (2018), 1750023.

Shutaywi, M.*, **Nezamoddini-Kachouie, N. A Weighted Majority Voting based on Normalized Mutual Information for Cluster Analysis**. Proceedings of 2018 International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. ******Operations Research Ph.D. Student*

**Snelson, S.** Asymptotic stability for odd perturbations of the stationary kink in the variable-speed ϕ 4 model. Trans. Amer. Math. Soc. 370 (10) (2018), 7437–7460.

Subasi, E., **Subasi, M.M.**, Binmahfoudh, A.*****, Prékopa, A. Sharp bounds for the probability that exactly *k*-out-of-*n* events occur with unimodal distributions. Annals of Operations Research (2018), 1-25. https://doi.org/10.1007/s10479-018-2950-8. *******Operations Research Ph.D. Student**

van Woesik, R., **Koksal, S.**, Unal, A., Cacciapaglia, C.W., Randall, C.J. Predicting coral dynamics through climate change. Nature: Scientific Reports 8 (2018), 17997. DOI:10.1038/s41598-018-36169-7

Volkov O., **Bukshtynov V.**, Durlofsky L.J., Aziz K. Gradient-based Pareto Optimal History Matching for Noisy Data of Multiple Types, Computational Geosciences 22(6) (2018), 1465-1485.

**Published in 2017**

**Abdulla, U.G.**, Jeli, R.***** Evolution of interfaces for the non-linear parabolic p -Laplacian type reaction-diffusion equations. European Journal of Applied Mathematics, 28 (5) (2017), 827–853. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Cosgrove, E.*****, **Goldfarb, J. **On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems. Evolution Equations & Control Theory 6(3) (2017), 319–344. ******Applied Math Ph.D. Student*

**Abdulla, U.G.**, Abdulla, R.U., Abdulla, M.U., Iqbal, N.H.***** Second minimal orbits, Sharkovski ordering and universality in chaos. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 27 (2017), no. 5, 1730018. ******Applied Math Ph.D. Student*

**Dshalalow, J.H.**, Iwezulu, K.*** Discrete versus continuous operational calculus in antagonistic stochastic games**. São Paulo Journal of Math. Science 11(2) (2017), 471-489. ******Operations Research Ph.D. Student*

**Kiguradze, T.**, Al-Jaber, N.***** Ill-Posed Multi-Dimensional Boundary Value Problems for Linear Hyperbolic Equations of Higher Order. QUALITDE (2017), 92-96. ******Applied Math Ph.D. Student*

**Kiguradze, T.**, Beaubrun, A.*

Local Solvability of Multi-Dimensional Initial-Boundary Value Problems for Higher Order Nonlinear Hyperbolic Equations. QUALITDE (2017), 97-101.

Subasi, E., **Subasi, M.M.**, Hammer, P.L., Roboz, J., Anbalagan, V., Lipkowitz, M.A. Classification Model to Predict the Rate of Decline of Kidney Function. Frontiers in Medicine 4 (2017), 97-106.

**Subasi, M.M.**, Subasi, E., Binmahfoudh, A.*****, Prekopa, A. New bounds for the probability that at least *k*-out-of-*n* events occur with unimodal distributions. Discrete Applied Mathematics 226 (2017), 138-157. ******Operations Research Ph.D. Student*

**Under Review**

Alreshidi, N.*****, Mrad, M., Subasi, E., **Subasi, M.M.** (2019). Two-Stage Bond Portfolio Optimization & Its Application to Saudi Sukuk Market. ******Operations Research Ph.D. Student*

**Dshalalow, J.H.**, Nandyose, K.*****, **White, R.T. **(2019). Time-Dependent Analysis of Stochastic Games of Three Players with Applications. ******Operations Research Ph.D. Student*

Elrod, E.*****, **Park, J.** (2019). A comparison of students’ Quantitative Reasoning skills in STEM and Non-STEM Math Pathways. ******Math Education Ph.D. Student*

Giannoulis, C., **Marcinkowski, T.**, Volk, T., Hungerford, H., McBeth, W. (2019). Influence of sequence of grade-level programming on middle school students’ environmental literacy. The Journal of Environmental Education.* Revision submitted*.

Gibbs, A., **Park, J.** (2019). MESH (Mathematics Expressing Society’s Hopes): A pedagogical tool for uncovering the role of mathematics in society.

Gibbs, A., **Park, J.** (2019). Students’ Understanding of the role of Mathematics in Society: Mathematising experiences, establishing relevancy.

Henderson, C., **Snelson, S.** (2019). Tarfulea, Andrei. Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data. Link: https://arxiv.org/abs/1909.05914

**Marcinkowski, T.**, Giannoulis, C., McBeth, W. (2019). Environmental education programs and middle school students’ environmental literacy: Results of a national assessment. The Journal of Environmental Education. *Revision submitted*.

**Park, J.** (2019). Makiguchi’s Theory of ‘Value Creation’ and Its Implications for Global Citizenship Education in Mathematical Practices.

**White, R.T.**, **Dshalalow, J.H.** (2019). Random Walks on Random Lattices with Applications.