主题词：Navier-Stokes equation solutions; Advanced Mathematical Modeling in Engineering; Advanced Mathematical Physics Problems; Computational Fluid Dynamics and Aerodynamics; Gas Dynamics and Kinetic Theory; Stability and Controllability of Differential Equations; Fluid Dynamics and Turbulent Flows; Advanced Numerical Methods in Computational Mathematics; Mathematical Biology Tumor Growth; Differential Equations and Numerical Methods; Numerical methods in inverse problems; Stochastic processes and financial applications; Nonlinear Partial Differential Equations; Nonlinear Dynamics and Pattern Formation; Advanced Thermodynamics and Statistical Mechanics; Numerical methods for differential equations; Theoretical and Computational Physics; Nonlinear Waves and Solitons; Geometric Analysis and Curvature Flows; Solidification and crystal growth phenomena; Mathematical and Theoretical Epidemiology and Ecology Models; Quantum chaos and dynamical systems; Spectral Theory in Mathematical Physics; Differential Equations and Boundary Problems; Stochastic processes and statistical mechanics