Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data

Mathematics

• Class 2%
• Coefficient 4%
• Contact Discontinuity 12%
• Cusp 98%
• Derivative 5%
• Discontinuity 8%
• Entropy 14%
• Entropy Solution 10%
• Euler 78%
• Euler Equations 8%
• Fluid 14%
• Fluid Dynamics 10%
• Form 7%
• Fractional 6%
• Motion 6%
• Rarefaction Wave 11%
• Regularity 6%
• Series Expansion 9%
• Shock 91%
• Shock Waves 10%
• Singularity 12%
• Smooth Solution 9%
• Symmetry 63%
• Term 9%

Physics & Astronomy

• coefficients 5%
• cusps 100%
• discontinuity 18%
• elastic waves 9%
• entropy 22%
• expansion 6%
• fluid dynamics 11%
• fluids 12%
• regularity 10%
• series expansion 10%
• shock 71%
• shock fronts 12%
• shock waves 8%
• symmetry 53%

Engineering & Materials Science

• Derivatives 10%
• Entropy 33%
• Euler equations 16%
• Fluid dynamics 13%
• Fluids 16%
• Shock waves 14%