Global solutions for small data to the Hele-Shaw problem

Mathematics

• Hele-Shaw 97%
• Global Solution 67%
• Nonlocal Equations 27%
• Conformal Mapping 27%
• Nonlinear Stability 27%
• Conservation 24%
• Governing equation 22%
• Asymptotic Stability 21%
• Two Dimensions 21%
• Well-posedness 21%
• Unit Disk 20%
• Contraction 20%
• Circle 19%
• Nonlinear Equations 19%
• Cauchy Problem 18%
• Fluid 18%
• Motion 17%
• Perturbation 16%
• Infinity 16%

Engineering & Materials Science

• Conformal mapping 100%
• Nonlinear equations 77%
• Asymptotic stability 76%
• Conservation 69%
• Fluids 46%

Physics & Astronomy

• pumping 40%
• Cauchy problem 31%
• conformal mapping 28%
• infinity 23%
• pressure distribution 23%
• contraction 22%
• nonlinear equations 22%
• conservation 22%
• perturbation 16%
• fluids 14%