· Linear Acoustics (Ray Acoustics, Fluctuation Acoustics, Sound Wave Reflection, Scattering, Diffraction, Interference, Propagation Attenuation)

· Nonlinear Acoustics (Nonlinear Mechanical Wave Dynamics, Acoustic Solitons and Their Chaos)

· Hydrodynamic Acoustics (Aeroacoustics, Fluid Motion And Sound Wave Interaction, Fluid Sound Radiation, Combustion Acoustics) 

· Hydroacoustics (Hydroacoustics And Marine Acoustics) 

· Structural Acoustics (Vibration And Noise Analysis And Control, Mechanical Dynamics) 

· Architectural Acoustics (Architectural Acoustic Design, Noise Control And Evaluation) 

· Ultrasonics (Ultrasonic Electronics, Testing Acoustics) 

· Acoustic Materials (Traditional Acoustic Materials, New Acoustic Materials) 

· Hydrodynamics (Ideal Liquid Motion, Viscous Liquid Motion, Cavitation, Multiphase Flow, Non-Newtonian Fluid Motion, Free-surface Flow, Pressure Flow, Hydroelastic Problems)

· Gas Dynamics (High Temperature Gas Dynamics, Rarefied Gas Dynamics, Cosmic Gas Dynamics) 

· Aerodynamics (Low Speed Aerodynamics, High Speed Aerodynamics) 

· Physical Chemical Hydrodynamics (Flow Of Dispersion System, Interface And Capillary Motion, Fluid Motion In Electric Field) 

· Plasma Hydrodynamics (Single Particle Motion, Wave, Instability, Arc Relaxation, Transport And Radiation Phenomena) 

· Hydromechanical Hydrodynamics (Multiphase Complex Flow Phenomena, High-Speed Amphibious Vehicles And Their Water Propulsion Systems, Turbine And Compressor Optimization, Hydraulic Transmission System)

· Engineering Fluid Mechanics (Hydrostatics, Mechanical Motion Of Fluid, Fluid Balance) 

· Multiphase Hydrodynamics (Gas-Liquid Flow, Liquid-Solid Flow, Gas-Solid Flow, Liquid-Solid Flow) 

· Combustion Fluid Dynamics (Combustion Reaction Kinetics, Multiphase Flow and Combustion)

· Green’s function in Water Wave Theory 

· Green’s function in Acoustics 

· Green’s function in Electrodynamics 

· Green’s function in Quantum Field Theory 

· Green’s function in Multi-body Theory 

· Green’s function for Laplace Operator 

· Green’s function for Diffusion Equation 

· Green’s function for Hamilton Operator 

· Discrete Laplace Operator 

· Green’s function for Partial Differential Equations