135 citations · 435 across the 36 of their papers we have counts for
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Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution
M. A. Fontelos
We study fragmentation equations with power-law fragmentation rates and polynomial daughter fragments distribution function . The corresponding selfsimillar solutions are ana…
On global in time self-similar solutions of Smoluchowski equation with multiplicative kernel
G. Breschi, M. A. Fontelos
We study the similarity solutions (SS) of Smoluchowski coagulation equation with multiplicative kernel for . When % , the SS consists of three…
The role of self-similarity in singularities of PDE's
Jens Eggers, Marco A. Fontelos
We survey rigorous, formal, and numerical results on the formation of point-like singularities (or blow-up) for a wide range of evolution equations. We use a similarity transformat…
Singularities on charged viscous droplets
S. I. Betelu, M. A. Fontelos, U. Kindelan +1
We study the evolution of charged droplets of a conducting viscous liquid. The flow is driven by electrostatic repulsion and capillarity. These droplets are known to be linearly un…
Capillarity driven spreading of circular drops of shear-thinning fluid
S. I. Betelu, M. A. Fontelos
We investigate the spreading of thin, circular liquid drops of power-law rheology. We derive the equation of motion using the thin film approximation, construct source-type similar…
Analysis of the self-similar spreading of power law fluids
D. G. Aronson, S. I. Betelu, M. A. Fontelos +1
We consider the equation that models the spreading of thin liquid films of power-law rheology. In particular, we analyze the existence and uniqueness of source-type self-similar so…