主题词：Advanced Mathematical Physics Problems; Numerical methods in inverse problems; Spectral Theory in Mathematical Physics; Navier-Stokes equation solutions; Stability and Controllability of Differential Equations; Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Geometric Analysis and Curvature Flows; Nonlinear Waves and Solitons; Mathematical Analysis and Transform Methods; Gas Dynamics and Kinetic Theory; Advanced Harmonic Analysis Research; Quantum chaos and dynamical systems; Electromagnetic Scattering and Analysis; Geometry and complex manifolds; Cold Atom Physics and Bose-Einstein Condensates; Mathematical Dynamics and Fractals; Topological Materials and Phenomena; Electromagnetic Simulation and Numerical Methods; advanced mathematical theories; Graphene research and applications; Computational Fluid Dynamics and Aerodynamics; Quantum and electron transport phenomena; Mathematical Biology Tumor Growth; Fluid Dynamics and Turbulent Flows