## Recent Publications by Mathematical Sciences Faculty (highlighted) & Students*

**Published/Accepted In 2020:**

**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, Volume 31, Issue 3, June 2020, pp. 385-406. ***Applied Math Ph.D. Student**

Henderson, C., **Snelson, S.**, Tarfulea, A. Local well-posedness of the Boltzmann equation with polynomially decaying initial data, Kinetic & Related Models, 13(4) 837-867, August 2020.

**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 372, July 2020. **Applied Math Ph.D. Student*

**Kachouie, N.N., **Hamad, F.* Potential impact of OPTN plan in association with donors’ factors on survival times of transplanted kidneys. Transplantation Reports 5(2), 100042, June 2020. **Operations Research Ph.D. Student*

Cameron, S., **Snelson, S.** Velocity decay estimates for Boltzmann equation with hard potentials. Nonlinearity 33(6) 2941-2959, May 2020.

**Kachouie, N.N**., Onyejekwe, O.E.* Climate Change Study via the Centennial Trend of Climate Factors. Hydrology 7(2), 1-12, May 2020. **Operations Research Ph.D. Student*

Henderson, C., **Snelson, S. **C∞ smoothing for weak solutions of the inhomogeneous Landau equation, Archive for Rational Mechanics and Analysis 236(1) 113-143, April 2020.

**Kachouie, N.N., **Deebani, W.* Association Factor for Identifying Linear and Nonlinear Correlations in Noisy Conditions. Entropy 22(4), 440, April 2020. ***Operations Research Ph.D. Student**

Lim, S.H., Tiew, W.J., Zhang, J., Ho, P.C., **Kachouie, N.N.**, Kang, L. Geometrical optimisation of a personalised microneedle eye patch for transdermal delivery of anti-wrinkle small peptide. Biofabrication, April 2020.

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

**Kachouie, N.N.**, Shutaywi, M.* Weighted Mutual Information for Aggregated Kernel Clustering. Entropy 22(3), 351, March 2020.** ****Operations Research Ph.D. Student*

**Perera, K., **Sim, I. Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities. Topological Methods in Nonlinear Analalysis 55(1), 243-255, March 2020.

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

Alreshidi, N.*, Mrad, M., Subasi, E., **Subasi, M.M. **Two-Stage Bond Portfolio Optimization & Its Application to Saudi Sukuk Market. Annals of Operations Research 288, 1-43, February 2020.** *****Operations Research Ph.D. Student**

**Kachouie, N.N**., Shutaywi, M.*, Christiani, D.C. Discriminant Analysis of Lung Cancer Using Nonlinear Clustering of Copy Numbers. Cancer Investigation 38 (2), 102-112, February 2020. **Operations Research Ph.D. Student*

**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**

Bain, T.C.*, Avila-Herrera, J.F.*, Subasi, E., **Subasi M.M.** Logical Analysis of Multiclass Data with Relaxed Patterns. Annals of Operations Research 287, 11-35, 2020. https://doi.org/10.1007/s10479-019-03389-7.* *******Operations Research Ph.D. Students*

**Tenali, G.B.**, Slyn’ko, V.I. Stability of Invatiant Maniforlds of Certain Classes of Set Differential Equations. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 27 (2020) 1-17.

**Dshalalow, J.H., White, R. **Random Walks on Random Lattices. Stochastic Analysis and Applications 38(2), 307-342, 2020.

**Dshalalow, J.H., White, R., **Merie, A.* Fluctuation Analysis in Parallel Queues with Hysteretic Control. Methodology and COmputing in Applied Probability 22(1), 295-327, 2020. ***Operations Research Ph.D Student**

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

Elrod, E., **Park, J.** A Comparison of Students’ Quantitative Reasoning Skills in STEM and Non-STEM Math Pathways. Numeracy (in press).

Fu, S., **Perera, K.** On a class of semipositone problems with singular Trudinger-Moser nonlinearities. Discrete and Continuous Dynamical Systems. Series S (in press).

Henderson, C., **Snelson, S.**, Tarfulea, A.* *Local solutions of the Landau equation with rough, slowly decaying initial data. Annales de l'Institute Henri Poincaré (C) Analyse Non Linéaire (in press).

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

**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.

Hamad, F.*, **Kachouie, N.N.** Potential Impact of Donors’ Factors on Survival Times of Transplanted Hearts and Lungs. Transplantation Reports. 4(4), 100035, December 2019. **Operations Research Ph.D. Student*

**Kachouie, N.N.**, Deebani, W.*, Christiani, D.C. Identifying Similarities and Disparities Between DNA Copy Number Changes in Cancer and Matched Blood Samples. Cancer investigation. 37(10), 535-545, October 2019.* *Operations Research Ph.D. Student*

Hamad, F.*, Kachouie, N.N. A hybrid method to estimate the full parametric hazard model. Communications in Statistics-Theory and Methods. 48(22), 5477-5491. 2019.* *Operations Research Ph.D. Student*

Folick, A.M., Haire, T.C., Cutshaw, K., Riddle, M., Shola, C., Nassani, S., Rice, P., Richardson, B., **Kachouie, N.N**., Palmer, A.G. Computer assisted tracking of Chlamydomonas species. Frontiers in Plant Science. 10, 1616, January 2019.

**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.

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**

**Dshalalow, J.H., **AlObaidi, A.* Fluctuation Analysis in Queues with Several Operational Modes and Priority Customers. TOP, Spring, NY. 26 (2018). 309-333. **Applied Math Ph.D. Student*

**Dshalalow, J.H., **Nandyose, K. Continuous Time Interpolation of Monotone Marked Random Measures with Applications. Neural, Parallel, and Scientific Computations. 26:2 (2018). 119-141. ***Operations Research Ph.D. Student**

Shutaywi, M.*, Kachouie, N.N. A Weighted Majority Voting based on NMI for Cluster Analysis. International Symposium on Artificial Intelligence and Mathematics. 2018.* *Operations Research Ph.D. Student*

Deebani, W.*, **Kachouie, N.N.** Ensemble Correlation Coefficient. International Symposium on Artificial Intelligence and Mathematics. 2018. **Operations Research Ph.D. Student*

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*

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*

Onyejekwe, O.E.*, Holman, B., **Kachouie, N.N.** Multivariate models for predicting glacier termini. Environmental Earth Sciences. 76(23), 807. 2017. **Operations Research Ph.D. Student*

Qin, L., Schwartzman, A., McCall, K. **Kachouie, N.N.**, Yap, J.T. Method for detecting voxelwise changes in fluorodeoxyglucose-positron emission tomography brain images via background adjustment in cancer clinical trials. Journal of Medical Imaging. 4(2), 024006 1. 2017.

**Kachouie, N.N.,** Lin, X., Schwartzman, A. FDR control of detected regions by multiscale matched filtering. Communications in Statistics-Simulation and Computation. 46 (1), 127-144. 2017.

**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**

**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*

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.