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