Karlygash Dosmagulova – Equations of Mathematical Physics – Young Scientist Award 

Ms. Karlygash Dosmagulova - Equations of Mathematical Physics - Young Scientist Award 

Institute of Mathematics and Mathematical Modeling - Kazakhstan 

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🎓 Early Academic Pursuits

Ms. Karlygash Dosmagulova embarked on her academic journey with a strong foundation in mathematics and function theory. She pursued her bachelor's and master's degrees under the supervision of Prof. B.E. Kanguzhin, focusing on equations of mathematical physics. Her master's thesis, titled Non-Degenerate Boundary Conditions for the Sturm-Liouville Equation, set the stage for her Ph.D. research. Her doctoral dissertation, Correctly Solvable Problems for the Laplace-Beltrami Operator on a Punctured Riemann Sphere, further developed her expertise in differential operators and mathematical analysis.

💼 Professional Endeavors

Ms. Dosmagulova is a postdoctoral fellow under the Zhas Ghalym project (2024–2026) and has amassed eight years of research experience. She has actively contributed to various mathematical projects funded by the Science Committee of the Ministry of Science and Higher Education of Kazakhstan. Her professional achievements include being one of 100 scientists selected for the Heidelberg Laureate Forum 2022 and winning the Abbe Grant the same year. She was an invited speaker at the International Center for Theoretical Physics (ICTP) in Trieste, Italy, and was recognized as The Best Young Scientist of Al-Farabi KazNU in 2023.

🔬 Contributions and Research Focus

Ms. Dosmagulova's research is deeply rooted in equations of mathematical physics, mathematical analysis, and the theory of functions. She has led and contributed to multiple research projects, including:

  1. Supervisor of Correctly Solvable Problems for Differential Operators on a Riemannian Manifold (2024–2026).
  2. Executor of Asymptotic Analysis of the Modified Schwarz Method for Dispersed Composites (2024–2026).
  3. Junior Scientific Researcher in Inverse Spectral Problems for Differential Operators on Graphs (2023–2025).
  4. Junior Scientific Researcher in Study of the Landau-Lifshitz-Gilbert Equation and Its Application in Composite Materials (2020–2022).

Her research utilizes the equations of mathematical physics in mechanics and physics, particularly through the Laplace-Beltrami operator and differential analysis.

🌍 Impact and Influence

Ms. Dosmagulova’s work has significantly influenced mathematical research in Kazakhstan and internationally. Her research collaborations include esteemed mathematicians such as Prof. Dr. Michael Ruzhansky (Belgium), Prof. Dr. Vladimir Mityushev (Poland), Dr. Islam Zari (Pakistan), and Prof. Dr. Ziganur Fazullin (Russia). As a member of the Belgian Mathematical Society, she actively contributes to advancing function theory and heat transfer problems.

🏆Academic Cites

Her research impact is reflected in her citation index, with 3 citations in Scopus and 2 in Web of Science. She has published 18 articles in prestigious journals indexed in SCI and Scopus. Additionally, she serves as an editor for Letters in Nonlinear Analysis and Its Applications (LNAA), further showcasing her influence in the academic community.

🌟 Legacy and Future Contributions

Ms. Dosmagulova’s ongoing research aims to deepen the understanding of function theory and mathematical physics. Her work on the Laplace-Beltrami operator is expected to have lasting implications in applied mathematics, physics, and engineering. With her dedication to mentorship and research, she is poised to leave a lasting legacy in the field.

Her future contributions will likely refine the application of mathematical physics in computational models, expanding the practical use of mathematical equations in real-world problems.

📝Notable Publication


📝Heat transfer analysis of Radiative-Marangoni Convective flow in nanofluid comprising Lorentz forces and porosity effects

Authors: I. Zari, T. Gul, K. Dosmagulova, T.S. Khan, S. Haq

Journal: Advances in the Theory of Nonlinear Analysis and its Application

Year: 2023

Citations: 8


📝Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

Authors: B. Kanguzhin, K. Dosmagulova

Journal: Advances in the Theory of Nonlinear Analysis and its Application

Year: 2023

Citations: 4


📝Optimal packing of two disks on torus

Authors: Z.K. Zhunussova, Y.K. Ashimov, K.A. Dosmagulova, L.K. Zhunussova

Journal: Applied Mathematics and Information Sciences

Year: 2022

Citations: 4


📝Integrable and non-integrable Lotka-Volterra systems

Authors: T. Bountis, Z. Zhunussova, K. Dosmagulova, G. Kanellopoulos

Journal: Physics Letters A

Year: 2021

Citations: 3


📝On the Optimal Conductivity of Packed Two-Dimensional Dispersed Composites

Authors: K. Dosmagulova, V. Mityushev, Z. Zhunussova

Journal: SIAM Journal on Applied Mathematics

Year: 2023

Citations: 2


📝Steady States and Travelling Wave Solutions of the Heisenberg and M-I Spin Systems

Authors: A. Bountis, Z. Zhunussova, K. Dosmagulova

Journal: Nonlinear Phenomena in Complex Systems

Year: 2019

Citations: 2


📝Uniquely solvable problems for the Laplace-Beltrami operator on a sphere punctured by a curve

Authors: K. Dosmagulova, B. Kanguzhin

Journal: Results in Nonlinear Analysis

Year: 2023

Citations: 1

Zhengguang Guo – Mathematical Theory of Fluid Equations – Best Researcher Award

Prof. Zhengguang Guo - Mathematical Theory of Fluid Equations - Best Researcher Award 

Huaiyin Normal University - China

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🎓 Early Academic Pursuits

Professor Zhengguang Guo embarked on his academic journey with a strong foundation in mathematics at Hubei Normal University, where he earned his B.Sc. in Mathematics in 2003. His passion for theoretical mathematics led him to East China Normal University, where he pursued his M.Sc. and Ph.D., completing his doctoral studies in 2011. During this period, he developed a deep interest in the mathematical theory of fluid equations, which later became a central theme in his research. His early academic work laid the groundwork for his significant contributions to fluid dynamics and mathematical modeling.

💼 Professional Endeavors

Prof. Guo has held various prestigious academic positions, demonstrating his commitment to advancing mathematical sciences. He served as an Associate Professor at Wenzhou University from 2011 to 2019, where he played a key role in both teaching and research. His academic journey included international exposure as an exchange student at the University of Geneva (2009–2010), a visiting scholar in Switzerland (2015), and a research fellowship at Kyushu University, Japan (2017). His postdoctoral tenure at Shanghai Jiao Tong University (2016–2018) further enriched his expertise in the mathematical theory of fluid equations, leading to groundbreaking research in fluid dynamics. Since 2019, he has been a Professor at the School of Mathematics and Statistics, Huaiyin Normal University, contributing significantly to academia.

🔬 Contributions and Research Focus

Prof. Guo's primary research focus revolves around the mathematical theory of fluid equations, an area critical to understanding complex fluid dynamics. His work has contributed to the development of mathematical models that describe the behavior of fluids under various conditions. His research has provided insights into stability analysis, turbulence modeling, and nonlinear fluid equations, bridging theoretical mathematics with real-world applications in physics and engineering.

🌍 Impact and Influence

Through his research, Prof. Guo has made a profound impact on the mathematical and scientific community. His work on the mathematical theory of fluid equations has been recognized for its theoretical depth and practical significance, influencing scholars in applied mathematics and engineering. His international collaborations and research fellowships in China, Japan, and Switzerland have broadened the scope of his influence, fostering academic exchange and advancing global research in fluid mechanics.

🏆Academic Cites

Prof. Guo's research contributions have been widely cited in academic literature, reflecting the importance and relevance of his work. His studies in mathematical fluid dynamics have been referenced in various high-impact journals, contributing to the broader understanding of fluid behavior and mathematical modeling. The high citation rate of his publications highlights his role as a leading researcher in this domain.

🌟 Legacy and Future Contributions

As a dedicated mathematician, Prof. Guo continues to shape the future of mathematical research. His ongoing projects, supported by prestigious research grants such as the Natural Science Foundation of Jiangsu Province and the National Natural Science Foundation of China, ensure that his contributions to the field will remain significant. His legacy lies in mentoring the next generation of mathematicians and expanding the frontiers of knowledge in the mathematical theory of fluid equations. Through his continuous efforts in research and education, he is set to further influence the field and drive future advancements in mathematical fluid dynamics.

📝Notable Publication


📝Extension criterion involving the middle eigenvalue of the strain tensor on local strong solutions to the 3D Navier–Stokes equations

Authors: Z. Guo, Zhengguang, C.J. O, Chol Jun

Journal: Applied Mathematics Letters

Year: 2025

Citations: 0


📝Self-similar solutions and large time behavior to the 2D isentropic compressible Navier–Stokes equations with vacuum free boundary and rotation

Authors: K. Li, Kunquan, D. Tong, Dongfu, Z. Guo, Zhengguang

Journal: Applied Mathematics Letters

Year: 2024

Citations: 0


📝Remarks on the Possible Blow-Up Conditions via One Velocity Component for the 3D Navier–Stokes Equations

Authors: Z. Guo, Zhengguang, C.J. O, Chol Jun

Journal: Journal of Geometric Analysis

Year: 2024

Citations: 0


📝Some Liouville-Type Results for the 3D Incompressible MHD Equations

Authors: P. Wang, Peng, Z. Guo, Zhengguang

Journal: Journal of Geometric Analysis

Year: 2024

Citations: 0


📝Global Regularity Criteria of the 3D MHD-Boussinesq Equations Without Thermal Diffusion

Authors: Z. Guo, Zhengguang, Z. Zhang, Zunzun, C. Zhao, Caidi

Journal: Communications in Mathematical Sciences

Year: 2024

Citations: 0


📝Anisotropic Prodi–Serrin regularity criteria for the 3D Navier–Stokes equations involving the gradient of one velocity component

Authors: Z. Guo, Zhengguang, C.J. O, Chol Jun

Journal: Applied Mathematics Letters

Year: 2023

Citations: 2


📝Global Well-Posedness and Asymptotic Behavior of the 3D MHD-Boussinesq Equations

Authors: Z. Guo, Zhengguang, Z. Zhang, Zunzun, Z. Skalák, Zdeněk

Journal: Journal of Nonlinear Science

Year: 2023

Citations: 0