主题词：Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Advanced Mathematical Physics Problems; Navier-Stokes equation solutions; Geometric Analysis and Curvature Flows; Stability and Controllability of Differential Equations; Numerical methods in inverse problems; Quantum chaos and dynamical systems; Nonlinear Waves and Solitons; Nonlinear Differential Equations Analysis; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Educational Robotics and Engineering; Spectral Theory in Mathematical Physics; Differential Equations and Boundary Problems; Mathematical Dynamics and Fractals; Differential Equations and Numerical Methods; Gas Dynamics and Kinetic Theory; Fluid Dynamics and Turbulent Flows; Nonlinear Photonic Systems; Advanced Differential Equations and Dynamical Systems; Computational Fluid Dynamics and Aerodynamics; Geometry and complex manifolds; Mathematical Biology Tumor Growth; Advanced Harmonic Analysis Research