Mathematical Analysis of Shock Wave Reflection

1.Introduction 1.1 Physical Background of Shock Reflection 1.2 Equations and Boundary Conditions 1.3 Reflection of Plane Shock2. Shock Polar Analysis 2.1 Shock Polar for Euler Equation 2.2 Shock Polar for Potential Flow Equation 2.3 Regular Reflection and Mach Configuration3. Perturbation of Regular Shock Reflection 3.1 Regular Reflection Containing Supersonic Shock in Two-Dimensional Space 3.2 Regular Reflection Containing Supersonic Shock in Three-Dimensional Space4. Stability of Structure of Mach Reflection 4.1 Reduction and Classification of Mach Configuration 4.2 Lagrange Transformation and Canonical Form of Nonlinear System 4.3 Estimates of Linearized Problem Derived from E-E Type Mach Configuration 4.4 Convergence of Iterative Process and Stability of E-E Type Mach Configuration 4.5 Stability of E-H Type Mach Configuration5. Shock Reflection in Unsteady Flow 5.1 Shock Reflection by a Smooth Surface 5.2 Regular Reflection of Plane Shock by a Ramp 5.3 Mach Reflection of Plane Shock by a Ramp6. Problems for Further Consideration 6.1 Discussion on Full Euler System 6.2 Reflection in Three-Dimensional Space 6.3 Big Disturbance and Global Solution 6.4 Transmission of Different Configuration of Shock ReflectionAppendix