School of Mathematical Sciences

Research output

Research output per year 1998 2020 2021 2023 2024 2024

• 315 Scopus Citations
• 9 h-index
• 80 Article
• 3 Conference contribution
• 1 Book Chapter
• 1 Paper
• 2 More
  • 1 Comment/debate
  • 1 Conference article

Research output per year

Research output per year

Search results

• 2024

  A general existence theorem for a multi-valued control problem

  Emamizadeh, B., Liu, Y. & Zivari-Rezapour, M., 2024, In: Comptes Rendus Mathematique. 362, p. 195-202 8 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Optimality Conditions 100%
  • Existence Theorem 90%
  • Control Problem 84%
  • Optimal Control 80%
  • Closure 80%

• An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients

  Cai, Y., Mao, X. & Wei, F., Feb 2024, In: Journal of Computational and Applied Mathematics. 437, 115472.

  Research output: Journal Publication › Article › peer-review

  • Epidemiology 100%
  • Kolmogorov Equation 85%
  • Finance 82%
  • Stochastic models 77%
  • Stochastic Equations 73%
  6 Citations (Scopus)

• A ternary mixture model with dynamic boundary conditions

  Liu, S., Wu, Y. & Zhao, X., 2024, In: Mathematical Biosciences and Engineering. 21, 2, p. 2050-2083 34 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Wettability 100%
  • Dynamic Boundary Conditions 96%
  • Biological Science Disciplines 89%
  • Mixture Model 75%
  • Ternary 72%

• On the number of star-shaped classes in optimal colorings of Kneser graphs

  Daneshpajouh, H. R., Feb 2024, In: Journal of Graph Theory. 105, 2, p. 230-238 9 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Kneser Graph 100%
  • Star 63%
  • Colouring 60%
  • Class 21%
  • Family 16%

• Qualitative properties and bifurcations of a Cournot-Bertrand duopoly mixed competition model

  Zhang, L., Xu, Y., Liao, G. & Haque, M., Apr 2024, In: Communications in Nonlinear Science and Numerical Simulation. 131, 107878.

  Research output: Journal Publication › Article › peer-review

  • Competition Model 100%
  • Mixed Model 88%
  • Qualitative Properties 86%
  • Bifurcation 60%
  • Flip 29%

• Strong convergence of an explicit numerical approximation for n-dimensional superlinear SDEs with positive solutions

  Cai, Y., Guo, Q. & Mao, X., Feb 2024, In: Mathematics and Computers in Simulation. 216, p. 198-212 15 p.

  Research output: Journal Publication › Article › peer-review

  • Numerical Approximation 100%
  • Strong Convergence 95%
  • Differential equations 92%
  • Stochastic Differential Equations 90%
  • n-dimensional 84%
  1 Citation (Scopus)

• Understanding cellulose pyrolysis via ab initio deep learning potential field

  Xiao, Y., Yan, Y., Do, H., Rankin, R., Zhao, H., Qian, P., Song, K., Wu, T. & Pang, C. H., May 2024, In: Bioresource Technology. 399, 130590.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • potential field 100%
  • Cellulose 94%
  • cellulose 82%
  • Pyrolysis 80%
  • pyrolysis 76%

• Vacua in locally de Sitter cosmologies, and how to distinguish them

  Toussaint, V. & Louko, J., 15 Jan 2024, In: Physical Review D. 109, 2, 025007.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • quotients 100%
  • vacuum 72%
  • circumferences 45%
  • ambiguity 39%
  • stress distribution 35%
• 2023

  A counterexample to a conjecture on the chromatic number of r-stable Kneser hypergraphs

  Daneshpajouh, H. R., 26 Feb 2023, In: Journal of Graph Theory. 103, 4, p. 762-766 5 p.

  Research output: Journal Publication › Article › peer-review

  • Chromatic number 100%
  • Hypergraph 98%
  • Counterexample 86%
  • Subset 8%
  • Distance formula 7%

• A formula for the sum of n weak* closed sets in L^∞

  Zivari-Rezapour, M., Liu, Y. & Emamizadeh, B., 2023, In: Comptes Rendus Mathematique. 361, G10, p. 1635-1639 5 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Closed set 100%
  • Optimal Control Problem 84%
  • Closure 83%
  1 Citation (Scopus)

• A Topological Version of Hedetniemi’s Conjecture for Equivariant Spaces

  Bui, V. & Daneshpajouh, H. R., 2023, (Accepted/In press) In: Combinatorica. 44, 2, p. 441-452 12 p.

  Research output: Journal Publication › Article › peer-review

  • Equivariant 100%
  • G-space 68%
  • P-groups 28%
  • Quaternion 27%
  • Cartesian product 27%

• Autonomous and non-autonomous modified Leslie-type stochastic predator-prey model with foraging arena scheme

  Cai, Y., 1 Jun 2023, In: Chaos. 33, 6, 063135.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Foraging 100%
  • predators 89%
  • random noise 72%
  • Predator-prey Model 71%
  • Stochastic Model 62%

• FRACTIONAL KORN’S INEQUALITIES WITHOUT BOUNDARY CONDITIONS

  Harutyunyan, D., Mengesha, T., Mikayelyan, H. & Scott, J. M., 2023, In: Mathematics and Mechanics of Complex Systems. 11, 4, p. 497-524 28 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Vector Field 100%
  • Boundary conditions 93%
  • Fractional 88%
  • Sobolev spaces 54%
  • Lipschitz 50%

• Hedetniemi's conjecture from the topological viewpoint

  Daneshpajouh, H. R., Karasev, R. & Volovikov, A., Apr 2023, In: Journal of Combinatorial Theory - Series A. 195, 105721.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Hypergraph 100%
  • Valid 30%
  • Cartesian product 21%
  • Generalization 20%
  • Join 20%
  2 Citations (Scopus)

• Mathematical modelling of clonorchiasis with human treatment and fish vaccination versus snail control

  Haque, M., Basir, F. A., Venturino, E., Saeed, A. & Smith?, S. R., Feb 2023, In: Chaos, Solitons and Fractals. 167, 113048.

  Research output: Journal Publication › Article › peer-review

  • snails 100%
  • Fish 80%
  • fishes 76%
  • Vaccination 74%
  • Mathematical Modeling 63%

• New monotonicity formulas for the curve shortening flow in R³

  Mikayelyan, H., Dec 2023, In: Annali di Matematica Pura ed Applicata. 202, 6, p. 2985-3004 20 p.

  Research output: Journal Publication › Article › peer-review

  • Monotonicity Formula 100%
  • Curve 44%
  • Position vector 33%
  • Tangent vector 31%
  • Planar Curves 30%

• Numerical analysis of a free boundary problem with non-local obstacles

  Li, Z. & Mikayelyan, H., Jan 2023, In: Applied Mathematics Letters. 135, 108414.

  Research output: Journal Publication › Article › peer-review

  • Comparison Principle 100%
  • Free Boundary Problem 95%
  • Numerical Analysis 84%
  • Numerical analysis 78%
  • Quasi-Newton Method 56%

• On the fractional Korn inequality in bounded domains: Counterexamples to the case ps < 1

  Harutyunyan, D. & Mikayelyan, H., 27 Feb 2023, In: Advances in Nonlinear Analysis. 12, 1, 20220283.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Korn's Inequality 100%
  • Counterexample 58%
  • Bounded Domain 54%
  • Fractional 49%
  • Hardy Inequality 20%
  1 Citation (Scopus)

• Orbital stability and concentration of standing-wave solutions to a nonlinear Schrodinger system with mass critical exponents

  Garrisi, D. & Gou, T., 1 Jan 2023, In: Nonlinear Differential Equations and Applications NoDEA. 30, p. 1-23 23 p., 3.

  Research output: Journal Publication › Article › peer-review

  • Orbital Stability 100%
  • Standing Wave 93%
  • Critical Exponents 82%
  • Minimizer 36%
  • Energy Functional 20%

• Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents

  Garrisi, D. & Gou, T., Jan 2023, In: Nonlinear Differential Equations and Applications. 30, 1, 3.

  Research output: Journal Publication › Article › peer-review

  • Orbital Stability 100%
  • Standing Wave 93%
  • Critical Exponents 82%
  • Nonlinear systems 64%
  • Nonlinear Systems 60%
  1 Citation (Scopus)

• POINTWISE A POSTERIORI ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN METHODS FOR SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS^*

  Kopteva, N. & Rankin, R., 2023, In: SIAM Journal on Numerical Analysis. 61, 4, p. 1938-1961 24 p.

  Research output: Journal Publication › Article › peer-review

  • Galerkin methods 100%
  • A Posteriori Error Estimates 99%
  • Discontinuous Galerkin Method 96%
  • Singularly Perturbed 88%
  • Reaction-diffusion Equations 87%
  1 Citation (Scopus)

• Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence

  Cai, Y., Guo, Q. & Mao, X., 25 Apr 2023, In: Calcolo. 60, 24.

  Research output: Journal Publication › Article › peer-review

  • Lotka-Volterra Model 100%
  • Linearity 84%
  • Diffusion Coefficient 78%
  • Stochastic Model 75%
  • Positivity 73%
  3 Citations (Scopus)

• Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations

  Garrisi, D., 4 Apr 2023, In: Journal of Fixed Point Theory and Applications. 25, 2, 19 p., 51.

  Research output: Journal Publication › Article › peer-review

  • Nonlinear Klein-Gordon Equation 100%
  • Cubic equation 94%
  • Standing Wave 92%
  • Klein-Gordon Equation 90%
  • Nonlinear equations 81%
• 2022

  <p>Corrigendum to: "Fractional optimal maximization problem and the unstable fractional obstacle problem" [J. Math. Anal. Appl. 495 (1) (2021) 124686] (Vol 510, 126014, 2022)</p>

  CHENG, Z., 1 Jun 2022, In: Journal of Mathematical Analysis and Applications. 510, 1, p. 1-3 3 p., 126014.

  Research output: Journal Publication › Article › peer-review

• Dynamics of adding variable prey refuge and an Allee effect to a predator–prey model

  Molla, H., Sarwardi, S., Smith?, S. R. & Haque, M., Jun 2022, In: AEJ - Alexandria Engineering Journal. 61, 6, p. 4175-4188 14 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Hopf bifurcation 100%
  • Bifurcation (mathematics) 91%
  • Dynamical systems 30%
  20 Citations (Scopus)

• High-Performance Adaptive Attitude Control of Spacecraft With Sliding Mode Disturbance Observer

  Javaid, U., Dong, H., Ijaz, S., Alkarkhi, T. & Haque, M., 2022, In: IEEE Access. 10, p. 41990-41999 10 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Attitude control 100%
  • Spacecraft 81%
  • Simulation 57%
  • Uncertainty 38%
  • System stability 31%
  5 Citations (Scopus)

• On some nonlocal problems in the calculus of variations

  Chipot, M. & Mikayelyan, H., Apr 2022, In: Nonlinear Analysis, Theory, Methods and Applications. 217, 112754.

  Research output: Journal Publication › Article › peer-review

  • Maximum principle 100%
  • Nonlocal Problems 87%
  • Calculus of variations 80%
  • Comparison Principle 42%
  • Maximum Principle 36%
  1 Citation (Scopus)

• Positivity and boundedness preserving numerical scheme for the stochastic epidemic model with square-root diffusion term

  Cai, Y., Hu, J. & Mao, X., Dec 2022, In: Applied Numerical Mathematics. 182, p. 100-116 17 p.

  Research output: Journal Publication › Article › peer-review

  • Stochastic Epidemic Models 100%
  • Stochastic models 79%
  • Square root 73%
  • Positivity 67%
  • Numerical Scheme 66%
  7 Citations (Scopus)

• Prey fear of a specialist predator in a tri-trophic food web can eliminate the superpredator

  Fakhry, N. H., Naji, R. K., Smith?, S. R. & Haque, M., 3 Nov 2022, In: Frontiers in Applied Mathematics and Statistics. 8, 963991.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Food Web 100%
  • Bifurcation (mathematics) 82%
  • Predator 69%
  • Prey 69%
  • Eliminate 66%
  3 Citations (Scopus)
• 2021

  An investigation into the impact of variations of ambient air pollution and meteorological factors on lung cancer mortality in Yangtze River Delta

  Chung, C. Y., Yang, J., He, J., Yang, X., Hubbard, R. & Ji, D., 20 Jul 2021, In: Science of the Total Environment. 779, p. 146427

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Air Pollutant 100%
  • Air Pollution 97%
  • Air pollution 84%
  • ambient air 73%
  • Rivers 73%
  31 Citations (Scopus)

  130 Downloads (Pure)

• A stochastic differential equation SIS epidemic model with regime switching

  Cai, S., Cai, Y. & Mao, X., Sept 2021, In: Discrete and Continuous Dynamical Systems - Series B. 26, 9, p. 4887-4905 19 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • SIS Model 100%
  • Regime Switching 98%
  • Threshold Value 89%
  • Epidemic Model 78%
  • Differential equations 67%
  12 Citations (Scopus)

• Detecting the massive bosonic zero-mode in expanding cosmological spacetimes

  Toussaint, V. & Louko, J., 17 May 2021, In: Physical Review D. 103, 10, 105011.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • detectors 100%
  • scalars 86%
  • excitation 58%
  • sectors 52%
  • vacuum 37%
  4 Citations (Scopus)

• Erratum: Cylindrical optimal rearrangement problem leading to a new type obstacle problem (ESAIM - Control, Optimisation and Calculus of Variations (2018) 24 (859-872) DOI: 10.1051/cocv/2017047)

  Mikayelyan, H., 11 May 2021, In: ESAIM - Control, Optimisation and Calculus of Variations. 27, 41.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Obstacle Problem 100%
  • Rearrangement 94%
  • Calculus of variations 92%
  • Optimization 66%
  • Theorem 35%
  2 Citations (Scopus)

• Fractional optimal maximization problem and the unstable fractional obstacle problem

  Bonder, J. F., Cheng, Z. & Mikayelyan, H., 1 Mar 2021, In: Journal of Mathematical Analysis and Applications. 495, 1, 124686.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Obstacle Problem 100%
  • Rearrangement 94%
  • Laplace Operator 91%
  • Mathematical operators 80%
  • Unstable 72%
  1 Citation (Scopus)

• Maximization Problems for Second Order Elliptic Equations

  Emamizadeh, B., Liu, Y. & Porru, G., 2021, In: Contemporary Mathematics (Singapore). 2, 2, p. 131-139 9 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  • Dirichlet problem 100%
  • Second Order Elliptic Equations 75%
  • Rearrangement 67%
  • functionals 58%
  • Dirichlet Problem 54%

• Minimum and Maximum Principle Sufficiency for a Nonsmooth Variational Inequality

  Wu, Z. & Lu, Y., May 2021, In: Bulletin of the Malaysian Mathematical Sciences Society. 44, 3, p. 1233-1257 25 p.

  Research output: Journal Publication › Article › peer-review

  • Minimum Principle 100%
  • Sufficiency 87%
  • Variational Inequality Problem 85%
  • Maximum Principle 75%
  • Pseudomonotonicity 74%
  1 Citation (Scopus)

• On the L^∞-maximization of the solution of Poisson's equation: Brezis-Gallouet-Wainger type inequalities and applications

  Harutyunyan, D. & Mikayelyan, H., Feb 2021, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 151, 1, p. 79-92 14 p.

  Research output: Journal Publication › Article › peer-review

  • Poisson's equation 100%
  • Poisson Problem 41%
  • Norm 39%
  • L1-norm 38%
  • Modulus of Continuity 35%
  1 Citation (Scopus)

• Optimization problems and mathematical analysis of optimal values in orlicz spaces

  Donyari, Z., Zivari-Rezapour, M. & Emamizadeh, B., 2021, In: Electronic Journal of Differential Equations. 2021, 38.

  Research output: Journal Publication › Article › peer-review

  • Orlicz Spaces 100%
  • Mathematical Analysis 91%
  • Optimal Solution 77%
  • Optimization Problem 65%
  • Orlicz-Sobolev Spaces 62%
• 2020

  Analyticity of free boundary in an optimal harvesting problem

  Emamizadeh, B. & Liu, Y., 1 Jun 2020, In: Letters in Mathematical Physics. 110, 6, p. 1191-1199 9 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Optimal Harvesting 100%
  • free boundaries 86%
  • Analyticity 78%
  • Free Boundary 72%
  • Optimal Shape 50%
  42 Downloads (Pure)

• Bang-bang and multiple valued optimal solutions of control problems related to quasi-linear elliptic equations

  Emamizadeh, B. & Liu, Y., 2020, In: SIAM Journal on Control and Optimization. 58, 2, p. 1103-1117 15 p.

  Research output: Journal Publication › Article › peer-review

  • Admissible Set 100%
  • Quasilinear Elliptic Equation 87%
  • Control Problem 63%
  • Optimal Solution 63%
  • Set theory 48%
  2 Citations (Scopus)

• Existence of Continuous Eigenvalues for a Class of Parametric Problems Involving the (p, 2) -Laplacian Operator

  Bhattacharya, T., Emamizadeh, B. & Farjudian, A., 1 Feb 2020, In: Acta Applicandae Mathematicae. 165, 1, p. 65-79 15 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Boundary conditions 100%
  • Eigenvalue 82%
  • Principal Eigenvalue 80%
  • End point 72%
  • Half line 59%
  7 Citations (Scopus)

  39 Downloads (Pure)

• Large-eddy simulation of gas–liquid two-phase flow in a bubble column reactor using a modified sub-grid scale model with the consideration of bubble-eddy interaction

  Long, S., Yang, J., Huang, X., Li, G., Shi, W., Sommerfeld, M. & Yang, X., Nov 2020, In: International Journal of Heat and Mass Transfer. 161, 120240.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Two-Phase Flow 100%
  • Bubble columns 95%
  • Bubble Columns 95%
  • scale models 78%
  • Large eddy simulation 75%
  9 Citations (Scopus)

  25 Downloads (Pure)

• Multiple normalized standing-wave solutions to the scalar non-linear Klein-Gordon equation with two competing powers

  Garrisi, D., 15 Nov 2020, In: Journal of Differential Equations. 269, 11, p. 9189-9223 35 p.

  Research output: Journal Publication › Article › peer-review

  • Ground state 100%
  • Nonlinear Klein-Gordon Equation 87%
  • Standing Wave 81%
  • Scalar 50%
  • Ground State 47%
  1 Citation (Scopus)

• Optimal critical mass for the two-dimensional keller-segel model with rotational flux terms

  Espejo, E. & Wu, H., 2020, In: Communications in Mathematical Sciences. 18, 2, p. 379-394 16 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Keller-Segel Model 100%
  • Fluid dynamics 74%
  • Partial differential equations 70%
  • Fluxes 57%
  • Mathematical Biology 46%
  7 Citations (Scopus)

  32 Downloads (Pure)

• Optimal critical mass for the two-dimensional Keller–Segel model with rotational flux terms

  Espejo, E. & Wu, H., 17 Jan 2020, In: Communications in Mathematical Sciences. 18, 2, p. 379-394

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Fluid dynamics 100%
  • Partial differential equations 93%
  • Fluxes 76%
  • Mathematical Biology 62%
  • Finite Time Blow-up 57%
  96 Downloads (Pure)

• Optimal rearrangement problem and normalized obstacle problem in the fractional setting

  Bonder, J. F., Cheng, Z. & Mikayelyan, H., 1 Jan 2020, In: Advances in Nonlinear Analysis. 9, 1, p. 1592-1606 15 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Obstacle Problem 100%
  • Rearrangement 94%
  • Fractional 62%
  • Laplace Operator 45%
  • Minimization Problem 40%
  6 Citations (Scopus)

  35 Downloads (Pure)

• Overdetermined problems for p-Laplace and generalized Monge–Ampére equations

  Emamizadeh, B., Liu, Y. & Porru, G., 11 Nov 2020, In: Complex Variables and Elliptic Equations. 67, 4, p. 807-821 15 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Domain Derivative 100%
  • Overdetermined Problems 87%
  • Laplace 60%
  • Generalized Equation 59%
  • Derivatives 50%
  1 Citation (Scopus)

  44 Downloads (Pure)
• 2019

  Extension of Talenti’s Inequality and Maximum Values Relative to Rearrangement Classes

  Emamizadeh, B., Liu, Y. & Porru, G., 4 Apr 2019, In: Numerical Functional Analysis and Optimization. 40, 5, p. 586-602 17 p.

  Research output: Journal Publication › Article › peer-review

  • Rearrangement 100%
  • Poisson equation 59%
  • Class 27%
  • Admissible Set 24%
  • Sharpness 20%

• Extensions of a result by G. Talenti to (p,q)-Laplace equations

  Emamizadeh, B., Liu, Y. & Porru, G., Mar 2019, In: Nonlinear Analysis, Theory, Methods and Applications. 180, p. 41-51 11 p.

  Research output: Journal Publication › Article › peer-review

  • Laplace equation 100%
  • Comparison Result 85%
  • Laplace's equation 76%
  • P-Laplace Equation 49%
  • Symmetrization 44%
  3 Citations (Scopus)

• Maximum–norm a posteriori error estimates for an optimal control problem

  Otárola, E., Rankin, R. & Salgado, A. J., 1 Jul 2019, In: Computational Optimization and Applications. 73, 3, p. 997-1017 21 p.

  Research output: Journal Publication › Article › peer-review

  Open Access

  File

  • Constrained Control 100%
  • A Posteriori Error Estimators 98%
  • A Posteriori Error Estimates 92%
  • Optimal Control Problem 66%
  • Rate of Convergence 63%
  2 Citations (Scopus)

  33 Downloads (Pure)