Existence of self-similar solutions to Smoluchowski's coagulation equation with product kernel

Authors: TANFER TANRIVERDİ

Abstract: We explore, by using formal analysis, the existence of mass conserving self-similar solutions for Smoluchowski's coagulation equation when kernel $K(x,y)=x^{\lambda} y^{\mu}+x^{\mu} y^{\lambda}$ with $0<\lambda+\mu<1$.

Keywords: Asymptotic behavior of solutions, coagulation equation, self-similar solutions, mass conservation

Full Text: PDF