Self-Similar Solutions To The Oort–Hulst–Safronov Coagulation Equation

Source abstract

The existence of self-similar solutions with a finite first moment is established for the Oort–Hulst–Safronov coagulation equation when the coagulation kernel is given by $a(y,y_*)=y^\lambda+y_*^\lambda$ for some $\lambda\in (0,1)$. The corresponding self-similar profiles are compactly supported and have a discontinuity at the edge of their support.