50 citations · 67 across the 4 of their papers we have counts for
4 papers
Harnack, Holder, Gauss and Widder: Serrin's Parabolic Legacy
D. G. Aronson
James Serrin's fundamental contributions to the theory of quasilinear elliptic equations are well-known and widely appreciated. He also made less well-known contributions to the th…
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…
Going with the Flow: a Lagrangian approach to self-similar dynamics and its consequences
D. G. Aronson, S. I. Betelu, I. G. Kevrekidis
We present a systematic computational approach to the study of self-similar dynamics. The approach, through the use of what can be thought of as a ``dynamic pinning condition" fact…
Renormalization study of two-dimensional convergent solutions of the porous medium equation
S. I. Betelu, D. G. Aronson, S. B. Angenent
In the focusing problem we study a solution of the porous medium equation whose initial distribution is positive in the exterior of a closed non-circular two dimension…